Extensions 1→N→G→Q→1 with N=Q8 and Q=C4

Direct product G=N×Q with N=Q8 and Q=C4
dρLabelID
C4×Q832C4xQ832,26

Semidirect products G=N:Q with N=Q8 and Q=C4
extensionφ:Q→Out NdρLabelID
Q81C4 = Q8⋊C4φ: C4/C2C2 ⊆ Out Q832Q8:1C432,10
Q82C4 = C4≀C2φ: C4/C2C2 ⊆ Out Q882Q8:2C432,11

Non-split extensions G=N.Q with N=Q8 and Q=C4
extensionφ:Q→Out NdρLabelID
Q8.C4 = C8○D4φ: trivial image162Q8.C432,38

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