Extensions 1→N→G→Q→1 with N=C32 and Q=C2

Direct product G=N×Q with N=C32 and Q=C2
dρLabelID
C2×C3264C2xC3264,50

Semidirect products G=N:Q with N=C32 and Q=C2
extensionφ:Q→Aut NdρLabelID
C321C2 = D32φ: C2/C1C2 ⊆ Aut C32322+C32:1C264,52
C322C2 = SD64φ: C2/C1C2 ⊆ Aut C32322C32:2C264,53
C323C2 = M6(2)φ: C2/C1C2 ⊆ Aut C32322C32:3C264,51

Non-split extensions G=N.Q with N=C32 and Q=C2
extensionφ:Q→Aut NdρLabelID
C32.C2 = Q64φ: C2/C1C2 ⊆ Aut C32642-C32.C264,54

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