Extensions 1→N→G→Q→1 with N=C3×C15 and Q=D4

Direct product G=N×Q with N=C3×C15 and Q=D4
dρLabelID
D4×C3×C15180D4xC3xC15360,116

Semidirect products G=N:Q with N=C3×C15 and Q=D4
extensionφ:Q→Aut NdρLabelID
(C3×C15)⋊1D4 = S32⋊D5φ: D4/C1D4 ⊆ Aut C3×C15304(C3xC15):1D4360,133
(C3×C15)⋊2D4 = C32⋊D20φ: D4/C1D4 ⊆ Aut C3×C15308+(C3xC15):2D4360,134
(C3×C15)⋊3D4 = C5×S3≀C2φ: D4/C1D4 ⊆ Aut C3×C15304(C3xC15):3D4360,132
(C3×C15)⋊4D4 = C3×C15⋊D4φ: D4/C2C22 ⊆ Aut C3×C15604(C3xC15):4D4360,61
(C3×C15)⋊5D4 = C3×C3⋊D20φ: D4/C2C22 ⊆ Aut C3×C15604(C3xC15):5D4360,62
(C3×C15)⋊6D4 = C3×C5⋊D12φ: D4/C2C22 ⊆ Aut C3×C151204(C3xC15):6D4360,63
(C3×C15)⋊7D4 = C30.12D6φ: D4/C2C22 ⊆ Aut C3×C15180(C3xC15):7D4360,68
(C3×C15)⋊8D4 = C327D20φ: D4/C2C22 ⊆ Aut C3×C15180(C3xC15):8D4360,69
(C3×C15)⋊9D4 = C15⋊D12φ: D4/C2C22 ⊆ Aut C3×C15180(C3xC15):9D4360,70
(C3×C15)⋊10D4 = D6⋊D15φ: D4/C2C22 ⊆ Aut C3×C151204-(C3xC15):10D4360,80
(C3×C15)⋊11D4 = C3⋊D60φ: D4/C2C22 ⊆ Aut C3×C15604+(C3xC15):11D4360,81
(C3×C15)⋊12D4 = D62D15φ: D4/C2C22 ⊆ Aut C3×C15604+(C3xC15):12D4360,82
(C3×C15)⋊13D4 = D30⋊S3φ: D4/C2C22 ⊆ Aut C3×C15604(C3xC15):13D4360,86
(C3×C15)⋊14D4 = C323D20φ: D4/C2C22 ⊆ Aut C3×C151204(C3xC15):14D4360,87
(C3×C15)⋊15D4 = C5×D6⋊S3φ: D4/C2C22 ⊆ Aut C3×C151204(C3xC15):15D4360,74
(C3×C15)⋊16D4 = C5×C3⋊D12φ: D4/C2C22 ⊆ Aut C3×C15604(C3xC15):16D4360,75
(C3×C15)⋊17D4 = C60⋊S3φ: D4/C4C2 ⊆ Aut C3×C15180(C3xC15):17D4360,112
(C3×C15)⋊18D4 = C3×D60φ: D4/C4C2 ⊆ Aut C3×C151202(C3xC15):18D4360,102
(C3×C15)⋊19D4 = C32×D20φ: D4/C4C2 ⊆ Aut C3×C15180(C3xC15):19D4360,92
(C3×C15)⋊20D4 = C15×D12φ: D4/C4C2 ⊆ Aut C3×C151202(C3xC15):20D4360,97
(C3×C15)⋊21D4 = C5×C12⋊S3φ: D4/C4C2 ⊆ Aut C3×C15180(C3xC15):21D4360,107
(C3×C15)⋊22D4 = C62⋊D5φ: D4/C22C2 ⊆ Aut C3×C15180(C3xC15):22D4360,114
(C3×C15)⋊23D4 = C3×C157D4φ: D4/C22C2 ⊆ Aut C3×C15602(C3xC15):23D4360,104
(C3×C15)⋊24D4 = C32×C5⋊D4φ: D4/C22C2 ⊆ Aut C3×C15180(C3xC15):24D4360,94
(C3×C15)⋊25D4 = C15×C3⋊D4φ: D4/C22C2 ⊆ Aut C3×C15602(C3xC15):25D4360,99
(C3×C15)⋊26D4 = C5×C327D4φ: D4/C22C2 ⊆ Aut C3×C15180(C3xC15):26D4360,109


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