Extensions 1→N→G→Q→1 with N=C₃ and Q=C₇₂⋊C₂

Direct product G=N×Q with N=C₃ and Q=C₇₂⋊C₂

		d	ρ	Label	ID
C₃×C₇₂⋊C₂		144	2	C3xC72:C2	432,107

Semidirect products G=N:Q with N=C₃ and Q=C₇₂⋊C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₇₂⋊C₂) = C₂₄⋊D₉	φ: C₇₂⋊C₂/C₇₂ → C₂ ⊆ Aut C₃	216		C3:1(C72:C2)	432,171
C₃⋊₂(C₇₂⋊C₂) = C₆.D₃₆	φ: C₇₂⋊C₂/Dic₁₈ → C₂ ⊆ Aut C₃	72	4+	C3:2(C72:C2)	432,63
C₃⋊₃(C₇₂⋊C₂) = D₃₆.S₃	φ: C₇₂⋊C₂/D₃₆ → C₂ ⊆ Aut C₃	144	4-	C3:3(C72:C2)	432,62

Non-split extensions G=N.Q with N=C₃ and Q=C₇₂⋊C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₇₂⋊C₂) = C₂₁₆⋊C₂	φ: C₇₂⋊C₂/C₇₂ → C₂ ⊆ Aut C₃	216	2	C3.(C72:C2)	432,7

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Extensions 1→N→G→Q→1 with N=C3 and Q=C72⋊C2