Extensions 1→N→G→Q→1 with N=Dic₃ and Q=M₄(2)

Direct product G=N×Q with N=Dic₃ and Q=M₄(2)

		d	ρ	Label	ID
Dic₃×M₄(2)		96		Dic3xM4(2)	192,676

Semidirect products G=N:Q with N=Dic₃ and Q=M₄(2)

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃⋊₁M₄(2) = Dic₃⋊M₄(2)	φ: M₄(2)/C₈ → C₂ ⊆ Out Dic₃	96		Dic3:1M4(2)	192,288
Dic₃⋊₂M₄(2) = C₂₄⋊₂₁D₄	φ: M₄(2)/C₈ → C₂ ⊆ Out Dic₃	96		Dic3:2M4(2)	192,687
Dic₃⋊₃M₄(2) = C₁₂⋊M₄(2)	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Out Dic₃	96		Dic3:3M4(2)	192,396
Dic₃⋊₄M₄(2) = Dic₃⋊₄M₄(2)	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Out Dic₃	96		Dic3:4M4(2)	192,677
Dic₃⋊₅M₄(2) = Dic₃⋊₅M₄(2)	φ: trivial image	96		Dic3:5M4(2)	192,266

Non-split extensions G=N.Q with N=Dic₃ and Q=M₄(2)

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₃.₁M₄(2) = C₂₄⋊Q₈	φ: M₄(2)/C₈ → C₂ ⊆ Out Dic₃	192		Dic3.1M4(2)	192,260
Dic₃.₂M₄(2) = C₄².₂₇D₆	φ: M₄(2)/C₈ → C₂ ⊆ Out Dic₃	192		Dic3.2M4(2)	192,387
Dic₃.₃M₄(2) = C₄².₁₈₂D₆	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Out Dic₃	96		Dic3.3M4(2)	192,264
Dic₃.₄M₄(2) = Dic₃.M₄(2)	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Out Dic₃	96		Dic3.4M4(2)	192,278
Dic₃.₅M₄(2) = Dic₃.₅M₄(2)	φ: trivial image	96		Dic3.5M4(2)	192,277
Dic₃.₆M₄(2) = C₄².₂₀₀D₆	φ: trivial image	96		Dic3.6M4(2)	192,392

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