Extensions 1→N→G→Q→1 with N=D₆ and Q=M₄(2)

Direct product G=N×Q with N=D₆ and Q=M₄(2)

		d	ρ	Label	ID
C₂×S₃×M₄(2)		48		C2xS3xM4(2)	192,1302

Semidirect products G=N:Q with N=D₆ and Q=M₄(2)

extension	φ:Q→Out N	d	ρ	Label	ID
D₆⋊₁M₄(2) = C₈⋊₉D₁₂	φ: M₄(2)/C₈ → C₂ ⊆ Out D₆	96		D6:1M4(2)	192,265
D₆⋊₂M₄(2) = D₆⋊₂M₄(2)	φ: M₄(2)/C₈ → C₂ ⊆ Out D₆	96		D6:2M4(2)	192,287
D₆⋊₃M₄(2) = D₆⋊₃M₄(2)	φ: M₄(2)/C₈ → C₂ ⊆ Out D₆	96		D6:3M4(2)	192,395
D₆⋊₄M₄(2) = C₂₄⋊D₄	φ: M₄(2)/C₈ → C₂ ⊆ Out D₆	96		D6:4M4(2)	192,686
D₆⋊₅M₄(2) = D₆⋊M₄(2)	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Out D₆	48		D6:5M4(2)	192,285
D₆⋊₆M₄(2) = D₆⋊₆M₄(2)	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Out D₆	48		D6:6M4(2)	192,685

Non-split extensions G=N.Q with N=D₆ and Q=M₄(2)

extension	φ:Q→Out N	d	ρ	Label	ID
D₆.₁M₄(2) = C₄².₁₈₂D₆	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Out D₆	96		D6.1M4(2)	192,264
D₆.₂M₄(2) = C₄².₂₀₂D₆	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Out D₆	96		D6.2M4(2)	192,394
D₆.₃M₄(2) = S₃×C₈⋊C₄	φ: trivial image	96		D6.3M4(2)	192,263
D₆.₄M₄(2) = S₃×C₂²⋊C₈	φ: trivial image	48		D6.4M4(2)	192,283
D₆.₅M₄(2) = S₃×C₄⋊C₈	φ: trivial image	96		D6.5M4(2)	192,391

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