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

Direct product G=NxQ with N=C₃³:₁₂D₄ and Q=C₂

		d	ρ	Label	ID
C₂xC₃³:₁₂D₄		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 = S₃xC₁₂:S₃	φ: C₂/C₁ → C₂ ⊆ Out C₃³:₁₂D₄	72		C3^3:12D4:7C2	432,671
C₃³:₁₂D₄:₈C₂ = C₃:S₃xD₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₃³:₁₂D₄	72		C3^3:12D4:8C2	432,672
C₃³:₁₂D₄:₉C₂ = D₄xC₃³:C₂	φ: C₂/C₁ → C₂ ⊆ Out C₃³:₁₂D₄	108		C3^3:12D4:9C2	432,724
C₃³:₁₂D₄:₁₀C₂ = (Q₈xC₃³):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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