Extensions 1→N→G→Q→1 with N=C₃ and Q=M₄(2)⋊C₄

Direct product G=N×Q with N=C₃ and Q=M₄(2)⋊C₄

		d	ρ	Label	ID
C₃×M₄(2)⋊C₄		96		C3xM4(2):C4	192,861

Semidirect products G=N:Q with N=C₃ and Q=M₄(2)⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(M₄(2)⋊C₄) = C₈⋊(C₄×S₃)	φ: M₄(2)⋊C₄/C₄.Q₈ → C₂ ⊆ Aut C₃	96		C3:1(M4(2):C4)	192,420
C₃⋊₂(M₄(2)⋊C₄) = C₈⋊S₃⋊C₄	φ: M₄(2)⋊C₄/C₂.D₈ → C₂ ⊆ Aut C₃	96		C3:2(M4(2):C4)	192,440
C₃⋊₃(M₄(2)⋊C₄) = C₄⋊C₄.₂₂₅D₆	φ: M₄(2)⋊C₄/C₂×C₄⋊C₄ → C₂ ⊆ Aut C₃	96		C3:3(M4(2):C4)	192,523
C₃⋊₄(M₄(2)⋊C₄) = C₄⋊C₄.₂₃₂D₆	φ: M₄(2)⋊C₄/C₄²⋊C₂ → C₂ ⊆ Aut C₃	96		C3:4(M4(2):C4)	192,554
C₃⋊₅(M₄(2)⋊C₄) = C₂³.₅₂D₁₂	φ: M₄(2)⋊C₄/C₂×M₄(2) → C₂ ⊆ Aut C₃	96		C3:5(M4(2):C4)	192,680

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