Extensions 1→N→G→Q→1 with N=C36 and Q=C2

Direct product G=N×Q with N=C36 and Q=C2
dρLabelID
C2×C3672C2xC3672,9

Semidirect products G=N:Q with N=C36 and Q=C2
extensionφ:Q→Aut NdρLabelID
C361C2 = D36φ: C2/C1C2 ⊆ Aut C36362+C36:1C272,6
C362C2 = C4×D9φ: C2/C1C2 ⊆ Aut C36362C36:2C272,5
C363C2 = D4×C9φ: C2/C1C2 ⊆ Aut C36362C36:3C272,10

Non-split extensions G=N.Q with N=C36 and Q=C2
extensionφ:Q→Aut NdρLabelID
C36.1C2 = Dic18φ: C2/C1C2 ⊆ Aut C36722-C36.1C272,4
C36.2C2 = C9⋊C8φ: C2/C1C2 ⊆ Aut C36722C36.2C272,1
C36.3C2 = Q8×C9φ: C2/C1C2 ⊆ Aut C36722C36.3C272,11

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