Extensions 1→N→G→Q→1 with N=Q8 and Q=C2

Direct product G=N×Q with N=Q8 and Q=C2
dρLabelID
C2×Q816C2xQ816,12

Semidirect products G=N:Q with N=Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
Q8⋊C2 = SD16φ: C2/C1C2 ⊆ Out Q882Q8:C216,8
Q82C2 = C4○D4φ: trivial image82Q8:2C216,13

Non-split extensions G=N.Q with N=Q8 and Q=C2
extensionφ:Q→Out NdρLabelID
Q8.C2 = Q16φ: C2/C1C2 ⊆ Out Q8162-Q8.C216,9

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