Extensions 1→N→G→Q→1 with N=C₃ and Q=C₃²⋊M₄(2)

Direct product G=N×Q with N=C₃ and Q=C₃²⋊M₄(2)

		d	ρ	Label	ID
C₃×C₃²⋊M₄(2)		48	4	C3xC3^2:M4(2)	432,629

Semidirect products G=N:Q with N=C₃ and Q=C₃²⋊M₄(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₃²⋊M₄(2)) = C₃³⋊₂M₄(2)	φ: C₃²⋊M₄(2)/C₃²⋊₂C₈ → C₂ ⊆ Aut C₃	24	8+	C3:1(C3^2:M4(2))	432,573
C₃⋊₂(C₃²⋊M₄(2)) = C₃³⋊₄M₄(2)	φ: C₃²⋊M₄(2)/C₄×C₃⋊S₃ → C₂ ⊆ Aut C₃	48	4	C3:2(C3^2:M4(2))	432,636

Non-split extensions G=N.Q with N=C₃ and Q=C₃²⋊M₄(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₃²⋊M₄(2)) = He₃⋊₁M₄(2)	central stem extension (φ=1)	72	6	C3.(C3^2:M4(2))	432,274

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Extensions 1→N→G→Q→1 with N=C3 and Q=C32⋊M4(2)