Extensions 1→N→G→Q→1 with N=C₃²⋊C₁₂ and Q=C₄

Direct product G=N×Q with N=C₃²⋊C₁₂ and Q=C₄

		d	ρ	Label	ID
C₄×C₃²⋊C₁₂		144		C4xC3^2:C12	432,138

Semidirect products G=N:Q with N=C₃²⋊C₁₂ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₃²⋊C₁₂⋊₁C₄ = C₆².D₆	φ: C₄/C₂ → C₂ ⊆ Out C₃²⋊C₁₂	144		C3^2:C12:1C4	432,95
C₃²⋊C₁₂⋊₂C₄ = He₃⋊C₄²	φ: C₄/C₂ → C₂ ⊆ Out C₃²⋊C₁₂	144		C3^2:C12:2C4	432,94
C₃²⋊C₁₂⋊₃C₄ = C₆².₁₉D₆	φ: C₄/C₂ → C₂ ⊆ Out C₃²⋊C₁₂	144		C3^2:C12:3C4	432,139

Non-split extensions G=N.Q with N=C₃²⋊C₁₂ and Q=C₄

extension	φ:Q→Out N	d	ρ	Label	ID
C₃²⋊C₁₂.₁C₄ = He₃⋊M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out C₃²⋊C₁₂	72	6	C3^2:C12.1C4	432,77
C₃²⋊C₁₂.₂C₄ = C₃²⋊C₆⋊C₈	φ: C₄/C₂ → C₂ ⊆ Out C₃²⋊C₁₂	72	6	C3^2:C12.2C4	432,76
C₃²⋊C₁₂.₃C₄ = He₃⋊₅M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out C₃²⋊C₁₂	72	6	C3^2:C12.3C4	432,116
C₃²⋊C₁₂.₄C₄ = C₈×C₃²⋊C₆	φ: trivial image	72	6	C3^2:C12.4C4	432,115

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