Extensions 1→N→G→Q→1 with N=Q32 and Q=C2

Direct product G=N×Q with N=Q32 and Q=C2
dρLabelID
C2×Q3264C2xQ3264,188

Semidirect products G=N:Q with N=Q32 and Q=C2
extensionφ:Q→Out NdρLabelID
Q321C2 = SD64φ: C2/C1C2 ⊆ Out Q32322Q32:1C264,53
Q322C2 = Q32⋊C2φ: C2/C1C2 ⊆ Out Q32324-Q32:2C264,191
Q323C2 = C4○D16φ: trivial image322Q32:3C264,189

Non-split extensions G=N.Q with N=Q32 and Q=C2
extensionφ:Q→Out NdρLabelID
Q32.C2 = Q64φ: C2/C1C2 ⊆ Out Q32642-Q32.C264,54

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