Extensions 1→N→G→Q→1 with N=C₄²⋊₃S₃ and Q=C₂

Direct product G=N×Q with N=C₄²⋊₃S₃ and Q=C₂

		d	ρ	Label	ID
C₂×C₄²⋊₃S₃		96		C2xC4^2:3S3	192,1037

Semidirect products G=N:Q with N=C₄²⋊₃S₃ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
C₄²⋊₃S₃⋊₁C₂ = C₄²⋊₂₇D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₃S₃	48	C4^2:3S3:1C2	192,1270
C₄²⋊₃S₃⋊₂C₂ = C₄².₁₆₅D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₃S₃	96	C4^2:3S3:2C2	192,1271
C₄²⋊₃S₃⋊₃C₂ = C₄²⋊₁₂D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₃S₃	48	C4^2:3S3:3C2	192,1086
C₄²⋊₃S₃⋊₄C₂ = C₄².₉₅D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₃S₃	96	C4^2:3S3:4C2	192,1089
C₄²⋊₃S₃⋊₅C₂ = C₄².₉₆D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₃S₃	96	C4^2:3S3:5C2	192,1090
C₄²⋊₃S₃⋊₆C₂ = C₄².₉₈D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₃S₃	96	C4^2:3S3:6C2	192,1092
C₄²⋊₃S₃⋊₇C₂ = C₄².₁₃₇D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₃S₃	96	C4^2:3S3:7C2	192,1228
C₄²⋊₃S₃⋊₈C₂ = C₄²⋊₂₂D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₃S₃	48	C4^2:3S3:8C2	192,1237
C₄²⋊₃S₃⋊₉C₂ = C₄².₁₅₀D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₃S₃	96	C4^2:3S3:9C2	192,1251
C₄²⋊₃S₃⋊₁₀C₂ = C₄²⋊₁₉D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₃S₃	48	C4^2:3S3:10C2	192,1119
C₄²⋊₃S₃⋊₁₁C₂ = C₄².₁₁₈D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₃S₃	96	C4^2:3S3:11C2	192,1123
C₄²⋊₃S₃⋊₁₂C₂ = C₄².₁₃₃D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₃S₃	96	C4^2:3S3:12C2	192,1141
C₄²⋊₃S₃⋊₁₃C₂ = S₃×C₄²⋊₂C₂	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₃S₃	48	C4^2:3S3:13C2	192,1262
C₄²⋊₃S₃⋊₁₄C₂ = C₄².₁₈₉D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₃S₃	96	C4^2:3S3:14C2	192,1265
C₄²⋊₃S₃⋊₁₅C₂ = C₄².₁₀₄D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₃S₃	96	C4^2:3S3:15C2	192,1099
C₄²⋊₃S₃⋊₁₆C₂ = C₄²⋊₁₈D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₃S₃	48	C4^2:3S3:16C2	192,1115
C₄²⋊₃S₃⋊₁₇C₂ = C₄².₁₂₂D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₃S₃	96	C4^2:3S3:17C2	192,1127
C₄²⋊₃S₃⋊₁₈C₂ = C₄².₁₃₂D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₃S₃	96	C4^2:3S3:18C2	192,1140
C₄²⋊₃S₃⋊₁₉C₂ = C₄²⋊₃₀D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₃S₃	48	C4^2:3S3:19C2	192,1279
C₄²⋊₃S₃⋊₂₀C₂ = C₄².₁₈₀D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₃S₃	96	C4^2:3S3:20C2	192,1294
C₄²⋊₃S₃⋊₂₁C₂ = C₄².₂₇₇D₆	φ: trivial image	96	C4^2:3S3:21C2	192,1038

Non-split extensions G=N.Q with N=C₄²⋊₃S₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₄²⋊₃S₃.₁C₂ = C₄².₁₅₄D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₃S₃	96		C4^2:3S3.1C2	192,1255
C₄²⋊₃S₃.₂C₂ = C₄².₁₃₄D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₃S₃	96		C4^2:3S3.2C2	192,1142

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Extensions 1→N→G→Q→1 with N=C42⋊3S3 and Q=C2

Extensions 1→N→G→Q→1 with N=C₄²⋊₃S₃ and Q=C₂