Extensions 1→N→G→Q→1 with N=C₃² and Q=M₄(2)

Direct product G=N×Q with N=C₃² and Q=M₄(2)

		d	ρ	Label	ID
C₃²×M₄(2)		72		C3^2xM4(2)	144,105

Semidirect products G=N:Q with N=C₃² and Q=M₄(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃²⋊₁M₄(2) = C₃²⋊M₄(2)	φ: M₄(2)/C₄ → C₄ ⊆ Aut C₃²	24	4	C3^2:1M4(2)	144,131
C₃²⋊₂M₄(2) = D₆.Dic₃	φ: M₄(2)/C₄ → C₂² ⊆ Aut C₃²	48	4	C3^2:2M4(2)	144,54
C₃²⋊₃M₄(2) = C₁₂.₃₁D₆	φ: M₄(2)/C₄ → C₂² ⊆ Aut C₃²	24	4	C3^2:3M4(2)	144,55
C₃²⋊₄M₄(2) = C₆².C₄	φ: M₄(2)/C₂² → C₄ ⊆ Aut C₃²	24	4-	C3^2:4M4(2)	144,135
C₃²⋊₅M₄(2) = C₃×C₈⋊S₃	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₃²	48	2	C3^2:5M4(2)	144,70
C₃²⋊₆M₄(2) = C₂₄⋊S₃	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₃²	72		C3^2:6M4(2)	144,86
C₃²⋊₇M₄(2) = C₃×C₄.Dic₃	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₃²	24	2	C3^2:7M4(2)	144,75
C₃²⋊₈M₄(2) = C₁₂.₅₈D₆	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₃²	72		C3^2:8M4(2)	144,91

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