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Extensions 1→N→G→Q→1 with N=2- 1+4 and Q=D5

Direct product G=N×Q with N=2- 1+4 and Q=D5
dρLabelID
D5×2- 1+4808-D5xES-(2,2)320,1624

Semidirect products G=N:Q with N=2- 1+4 and Q=D5
extensionφ:Q→Out NdρLabelID
2- 1+4⋊D5 = 2- 1+4⋊D5φ: D5/C1 → D5 ⊆ Out 2- 1+4324ES-(2,2):D5320,1582
2- 1+4⋊2D5 = 2- 1+4⋊2D5φ: D5/C5 → C2 ⊆ Out 2- 1+4808+ES-(2,2):2D5320,872
2- 1+4⋊3D5 = D20.34C23φ: D5/C5 → C2 ⊆ Out 2- 1+4808+ES-(2,2):3D5320,1509
2- 1+4⋊4D5 = D20.35C23φ: D5/C5 → C2 ⊆ Out 2- 1+41608-ES-(2,2):4D5320,1510
2- 1+4⋊5D5 = D20.39C23φ: trivial image808+ES-(2,2):5D5320,1625

Non-split extensions G=N.Q with N=2- 1+4 and Q=D5
extensionφ:Q→Out NdρLabelID
2- 1+4.D5 = 2- 1+4.D5φ: D5/C1 → D5 ⊆ Out 2- 1+4644-ES-(2,2).D5320,1581
2- 1+4.2D5 = 2- 1+4.2D5φ: D5/C5 → C2 ⊆ Out 2- 1+4808-ES-(2,2).2D5320,873

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