Extensions 1→N→G→Q→1 with N=C₃ and Q=D₃₆⋊₅C₂

Direct product G=N×Q with N=C₃ and Q=D₃₆⋊₅C₂

		d	ρ	Label	ID
C₃×D₃₆⋊₅C₂		72	2	C3xD36:5C2	432,344

Semidirect products G=N:Q with N=C₃ and Q=D₃₆⋊₅C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(D₃₆⋊₅C₂) = Dic₉.D₆	φ: D₃₆⋊₅C₂/Dic₁₈ → C₂ ⊆ Aut C₃	72	4+	C3:1(D36:5C2)	432,289
C₃⋊₂(D₃₆⋊₅C₂) = D₆.D₁₈	φ: D₃₆⋊₅C₂/C₄×D₉ → C₂ ⊆ Aut C₃	72	4	C3:2(D36:5C2)	432,287
C₃⋊₃(D₃₆⋊₅C₂) = D₃₆⋊₅S₃	φ: D₃₆⋊₅C₂/D₃₆ → C₂ ⊆ Aut C₃	144	4-	C3:3(D36:5C2)	432,288
C₃⋊₄(D₃₆⋊₅C₂) = D₁₈.₃D₆	φ: D₃₆⋊₅C₂/C₉⋊D₄ → C₂ ⊆ Aut C₃	72	4	C3:4(D36:5C2)	432,305
C₃⋊₅(D₃₆⋊₅C₂) = C₃₆.₇₀D₆	φ: D₃₆⋊₅C₂/C₂×C₃₆ → C₂ ⊆ Aut C₃	216		C3:5(D36:5C2)	432,383

Non-split extensions G=N.Q with N=C₃ and Q=D₃₆⋊₅C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(D₃₆⋊₅C₂) = D₁₀₈⋊₅C₂	φ: D₃₆⋊₅C₂/C₂×C₃₆ → C₂ ⊆ Aut C₃	216	2	C3.(D36:5C2)	432,46

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