Extensions 1→N→G→Q→1 with N=C₉ and Q=C₃×M₄(2)

Direct product G=N×Q with N=C₉ and Q=C₃×M₄(2)

		d	ρ	Label	ID
M₄(2)×C₃×C₉		216		M4(2)xC3xC9	432,212

Semidirect products G=N:Q with N=C₉ and Q=C₃×M₄(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉⋊₁(C₃×M₄(2)) = C₇₂⋊C₆	φ: C₃×M₄(2)/C₈ → C₆ ⊆ Aut C₉	72	6	C9:1(C3xM4(2))	432,121
C₉⋊₂(C₃×M₄(2)) = C₃₆.C₁₂	φ: C₃×M₄(2)/C₂×C₄ → C₆ ⊆ Aut C₉	72	6	C9:2(C3xM4(2))	432,143
C₉⋊₃(C₃×M₄(2)) = M₄(2)×3_-¹⁺²	φ: C₃×M₄(2)/M₄(2) → C₃ ⊆ Aut C₉	72	6	C9:3(C3xM4(2))	432,214
C₉⋊₄(C₃×M₄(2)) = C₃×C₈⋊D₉	φ: C₃×M₄(2)/C₂₄ → C₂ ⊆ Aut C₉	144	2	C9:4(C3xM4(2))	432,106
C₉⋊₅(C₃×M₄(2)) = C₃×C₄.Dic₉	φ: C₃×M₄(2)/C₂×C₁₂ → C₂ ⊆ Aut C₉	72	2	C9:5(C3xM4(2))	432,125

Non-split extensions G=N.Q with N=C₉ and Q=C₃×M₄(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₉.(C₃×M₄(2)) = M₄(2)×C₂₇	central extension (φ=1)	216	2	C9.(C3xM4(2))	432,24

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