Extensions 1→N→G→Q→1 with N=C₄²⋊₄S₃ and Q=C₂

Direct product G=N×Q with N=C₄²⋊₄S₃ and Q=C₂

		d	ρ	Label	ID
C₂×C₄²⋊₄S₃		48		C2xC4^2:4S3	192,486

Semidirect products G=N:Q with N=C₄²⋊₄S₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₄²⋊₄S₃⋊₁C₂ = D₂₄⋊₄C₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₄S₃	48	4	C4^2:4S3:1C2	192,276
C₄²⋊₄S₃⋊₂C₂ = C₄²⋊₆D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₄S₃	48	4	C4^2:4S3:2C2	192,564
C₄²⋊₄S₃⋊₃C₂ = S₃×C₄≀C₂	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₄S₃	24	4	C4^2:4S3:3C2	192,379
C₄²⋊₄S₃⋊₄C₂ = C₄²⋊₃D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₄S₃	48	4	C4^2:4S3:4C2	192,380
C₄²⋊₄S₃⋊₅C₂ = Q₈⋊₅D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₄S₃	24	4+	C4^2:4S3:5C2	192,381
C₄²⋊₄S₃⋊₆C₂ = M₄(2).₂₂D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₄S₃	48	4	C4^2:4S3:6C2	192,382
C₄²⋊₄S₃⋊₇C₂ = C₄².₁₉₆D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₄S₃	48	4	C4^2:4S3:7C2	192,383
C₄²⋊₄S₃⋊₈C₂ = C₄²⋊₅D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₄S₃	48	4	C4^2:4S3:8C2	192,384
C₄²⋊₄S₃⋊₉C₂ = Q₈.₁₄D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₄S₃	48	4-	C4^2:4S3:9C2	192,385
C₄²⋊₄S₃⋊₁₀C₂ = D₄.₁₀D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₄S₃	48	4	C4^2:4S3:10C2	192,386
C₄²⋊₄S₃⋊₁₁C₂ = C₄²⋊₇D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₄S₃	48	4	C4^2:4S3:11C2	192,620
C₄²⋊₄S₃⋊₁₂C₂ = D₁₂.₁₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₄S₃	48	4	C4^2:4S3:12C2	192,621
C₄²⋊₄S₃⋊₁₃C₂ = C₄²⋊₈D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₄S₃	24	4	C4^2:4S3:13C2	192,636
C₄²⋊₄S₃⋊₁₄C₂ = D₁₂.₁₅D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₄S₃	48	4	C4^2:4S3:14C2	192,654
C₄²⋊₄S₃⋊₁₅C₂ = D₂₄⋊₁₁C₄	φ: trivial image	48	2	C4^2:4S3:15C2	192,259

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