Extensions 1→N→G→Q→1 with N=D4 and Q=C8

Direct product G=N×Q with N=D4 and Q=C8
dρLabelID
C8×D432C8xD464,115

Semidirect products G=N:Q with N=D4 and Q=C8
extensionφ:Q→Out NdρLabelID
D4⋊C8 = D4⋊C8φ: C8/C4C2 ⊆ Out D432D4:C864,6

Non-split extensions G=N.Q with N=D4 and Q=C8
extensionφ:Q→Out NdρLabelID
D4.C8 = D4.C8φ: C8/C4C2 ⊆ Out D4322D4.C864,31
D4.2C8 = D4○C16φ: trivial image322D4.2C864,185

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