Extensions 1→N→G→Q→1 with N=C₃³⋊₁₂D₄ and Q=C₂

Direct product G=N×Q with N=C₃³⋊₁₂D₄ and Q=C₂

		d	ρ	Label	ID
C₂×C₃³⋊₁₂D₄		216		C2xC3^3:12D4	432,722

Semidirect products G=N:Q with N=C₃³⋊₁₂D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₃³⋊₁₂D₄⋊₁C₂ = C₃³⋊₁₂D₈	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₁₂D₄	216		C3^3:12D4:1C2	432,499
C₃³⋊₁₂D₄⋊₂C₂ = C₃³⋊₇D₈	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₁₂D₄	72		C3^3:12D4:2C2	432,437
C₃³⋊₁₂D₄⋊₃C₂ = C₃³⋊₈D₈	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₁₂D₄	72		C3^3:12D4:3C2	432,438
C₃³⋊₁₂D₄⋊₄C₂ = C₃³⋊₁₅D₈	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₁₂D₄	216		C3^3:12D4:4C2	432,507
C₃³⋊₁₂D₄⋊₅C₂ = C₁₂.₄₀S₃²	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₁₂D₄	72		C3^3:12D4:5C2	432,665
C₃³⋊₁₂D₄⋊₆C₂ = C₁₂.₅₈S₃²	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₁₂D₄	72		C3^3:12D4:6C2	432,669
C₃³⋊₁₂D₄⋊₇C₂ = S₃×C₁₂⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₁₂D₄	72		C3^3:12D4:7C2	432,671
C₃³⋊₁₂D₄⋊₈C₂ = C₃⋊S₃×D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₁₂D₄	72		C3^3:12D4:8C2	432,672
C₃³⋊₁₂D₄⋊₉C₂ = D₄×C₃³⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₁₂D₄	108		C3^3:12D4:9C2	432,724
C₃³⋊₁₂D₄⋊₁₀C₂ = (Q₈×C₃³)⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₁₂D₄	216		C3^3:12D4:10C2	432,727
C₃³⋊₁₂D₄⋊₁₁C₂ = C₆².₁₆₀D₆	φ: trivial image	216		C3^3:12D4:11C2	432,723

Non-split extensions G=N.Q with N=C₃³⋊₁₂D₄ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₃³⋊₁₂D₄.₁C₂ = C₃³⋊₂₁SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₁₂D₄	216		C3^3:12D4.1C2	432,498
C₃³⋊₁₂D₄.₂C₂ = C₃³⋊₁₅SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₁₂D₄	72		C3^3:12D4.2C2	432,442
C₃³⋊₁₂D₄.₃C₂ = C₃³⋊₁₇SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₁₂D₄	72		C3^3:12D4.3C2	432,444
C₃³⋊₁₂D₄.₄C₂ = C₃³⋊₂₇SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₃³⋊₁₂D₄	216		C3^3:12D4.4C2	432,509

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