Extensions 1→N→G→Q→1 with N=C₆ and Q=M₄(2)

Direct product G=N×Q with N=C₆ and Q=M₄(2)

		d	ρ	Label	ID
C₆×M₄(2)		48		C6xM4(2)	96,177

Semidirect products G=N:Q with N=C₆ and Q=M₄(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊₁M₄(2) = C₂×C₈⋊S₃	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₆	48		C6:1M4(2)	96,107
C₆⋊₂M₄(2) = C₂×C₄.Dic₃	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₆	48		C6:2M4(2)	96,128

Non-split extensions G=N.Q with N=C₆ and Q=M₄(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.₁M₄(2) = Dic₃⋊C₈	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₆	96		C6.1M4(2)	96,21
C₆.₂M₄(2) = C₂₄⋊C₄	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₆	96		C6.2M4(2)	96,22
C₆.₃M₄(2) = D₆⋊C₈	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₆	48		C6.3M4(2)	96,27
C₆.₄M₄(2) = C₄².S₃	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₆	96		C6.4M4(2)	96,10
C₆.₅M₄(2) = C₁₂⋊C₈	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₆	96		C6.5M4(2)	96,11
C₆.₆M₄(2) = C₁₂.₅₅D₄	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₆	48		C6.6M4(2)	96,37
C₆.₇M₄(2) = C₃×C₈⋊C₄	central extension (φ=1)	96		C6.7M4(2)	96,47
C₆.₈M₄(2) = C₃×C₂²⋊C₈	central extension (φ=1)	48		C6.8M4(2)	96,48
C₆.₉M₄(2) = C₃×C₄⋊C₈	central extension (φ=1)	96		C6.9M4(2)	96,55

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