Extensions 1→N→G→Q→1 with N=C₃³ and Q=M₄(2)

Direct product G=N×Q with N=C₃³ and Q=M₄(2)

		d	ρ	Label	ID
M₄(2)×C₃³		216		M4(2)xC3^3	432,516

Semidirect products G=N:Q with N=C₃³ and Q=M₄(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃³⋊₁M₄(2) = C₃³⋊M₄(2)	φ: M₄(2)/C₂ → C₂×C₄ ⊆ Aut C₃³	48	8-	C3^3:1M4(2)	432,572
C₃³⋊₂M₄(2) = C₃³⋊₂M₄(2)	φ: M₄(2)/C₂ → C₂×C₄ ⊆ Aut C₃³	24	8+	C3^3:2M4(2)	432,573
C₃³⋊₃M₄(2) = C₃×C₃²⋊M₄(2)	φ: M₄(2)/C₄ → C₄ ⊆ Aut C₃³	48	4	C3^3:3M4(2)	432,629
C₃³⋊₄M₄(2) = C₃³⋊₄M₄(2)	φ: M₄(2)/C₄ → C₄ ⊆ Aut C₃³	48	4	C3^3:4M4(2)	432,636
C₃³⋊₅M₄(2) = C₃×D₆.Dic₃	φ: M₄(2)/C₄ → C₂² ⊆ Aut C₃³	48	4	C3^3:5M4(2)	432,416
C₃³⋊₆M₄(2) = C₃×C₁₂.₃₁D₆	φ: M₄(2)/C₄ → C₂² ⊆ Aut C₃³	48	4	C3^3:6M4(2)	432,417
C₃³⋊₇M₄(2) = C₃³⋊₇M₄(2)	φ: M₄(2)/C₄ → C₂² ⊆ Aut C₃³	144		C3^3:7M4(2)	432,433
C₃³⋊₈M₄(2) = C₃³⋊₈M₄(2)	φ: M₄(2)/C₄ → C₂² ⊆ Aut C₃³	144		C3^3:8M4(2)	432,434
C₃³⋊₉M₄(2) = C₃³⋊₉M₄(2)	φ: M₄(2)/C₄ → C₂² ⊆ Aut C₃³	72		C3^3:9M4(2)	432,435
C₃³⋊₁₀M₄(2) = C₃³⋊₁₀M₄(2)	φ: M₄(2)/C₄ → C₂² ⊆ Aut C₃³	48	4	C3^3:10M4(2)	432,456
C₃³⋊₁₁M₄(2) = C₃×C₆².C₄	φ: M₄(2)/C₂² → C₄ ⊆ Aut C₃³	24	4	C3^3:11M4(2)	432,633
C₃³⋊₁₂M₄(2) = C₃³⋊₁₂M₄(2)	φ: M₄(2)/C₂² → C₄ ⊆ Aut C₃³	24	4	C3^3:12M4(2)	432,640
C₃³⋊₁₃M₄(2) = C₃²×C₈⋊S₃	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₃³	144		C3^3:13M4(2)	432,465
C₃³⋊₁₄M₄(2) = C₃×C₂₄⋊S₃	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₃³	144		C3^3:14M4(2)	432,481
C₃³⋊₁₅M₄(2) = C₃³⋊₁₅M₄(2)	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₃³	216		C3^3:15M4(2)	432,497
C₃³⋊₁₆M₄(2) = C₃²×C₄.Dic₃	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₃³	72		C3^3:16M4(2)	432,470
C₃³⋊₁₇M₄(2) = C₃×C₁₂.₅₈D₆	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₃³	72		C3^3:17M4(2)	432,486
C₃³⋊₁₈M₄(2) = C₃³⋊₁₈M₄(2)	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₃³	216		C3^3:18M4(2)	432,502

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