Extensions 1→N→G→Q→1 with N=C₄²⋊₂S₃ and Q=C₂

Direct product G=N×Q with N=C₄²⋊₂S₃ and Q=C₂

		d	ρ	Label	ID
C₂×C₄²⋊₂S₃		96		C2xC4^2:2S3	192,1031

Semidirect products G=N:Q with N=C₄²⋊₂S₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₄²⋊₂S₃⋊₁C₂ = C₄²⋊₁₂D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₂S₃	48		C4^2:2S3:1C2	192,1086
C₄²⋊₂S₃⋊₂C₂ = C₄².₉₄D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₂S₃	96		C4^2:2S3:2C2	192,1088
C₄²⋊₂S₃⋊₃C₂ = C₄².₉₆D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₂S₃	96		C4^2:2S3:3C2	192,1090
C₄²⋊₂S₃⋊₄C₂ = C₄².₉₇D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₂S₃	96		C4^2:2S3:4C2	192,1091
C₄²⋊₂S₃⋊₅C₂ = C₄².₁₆₀D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₂S₃	96		C4^2:2S3:5C2	192,1261
C₄²⋊₂S₃⋊₆C₂ = C₄²⋊₂₆D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₂S₃	48		C4^2:2S3:6C2	192,1264
C₄²⋊₂S₃⋊₇C₂ = C₄².₁₆₂D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₂S₃	96		C4^2:2S3:7C2	192,1267
C₄²⋊₂S₃⋊₈C₂ = C₄².₁₆₃D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₂S₃	96		C4^2:2S3:8C2	192,1268
C₄²⋊₂S₃⋊₉C₂ = C₄²⋊₃D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₂S₃	48	4	C4^2:2S3:9C2	192,380
C₄²⋊₂S₃⋊₁₀C₂ = C₄².₁₀₂D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₂S₃	96		C4^2:2S3:10C2	192,1097
C₄²⋊₂S₃⋊₁₁C₂ = C₄²⋊₁₃D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₂S₃	48		C4^2:2S3:11C2	192,1104
C₄²⋊₂S₃⋊₁₂C₂ = C₄².₁₀₈D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₂S₃	96		C4^2:2S3:12C2	192,1105
C₄²⋊₂S₃⋊₁₃C₂ = C₄²⋊₁₄D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₂S₃	48		C4^2:2S3:13C2	192,1106
C₄²⋊₂S₃⋊₁₄C₂ = C₄².₁₁₅D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₂S₃	96		C4^2:2S3:14C2	192,1120
C₄²⋊₂S₃⋊₁₅C₂ = C₄².₁₁₆D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₂S₃	96		C4^2:2S3:15C2	192,1121
C₄²⋊₂S₃⋊₁₆C₂ = C₄².₁₂₆D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₂S₃	96		C4^2:2S3:16C2	192,1133
C₄²⋊₂S₃⋊₁₇C₂ = C₄².₁₃₁D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₂S₃	96		C4^2:2S3:17C2	192,1139
C₄²⋊₂S₃⋊₁₈C₂ = C₄².₁₃₃D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₂S₃	96		C4^2:2S3:18C2	192,1141
C₄²⋊₂S₃⋊₁₉C₂ = C₄²⋊₂₀D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₂S₃	48		C4^2:2S3:19C2	192,1233
C₄²⋊₂S₃⋊₂₀C₂ = C₄².₁₄₁D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₂S₃	96		C4^2:2S3:20C2	192,1234
C₄²⋊₂S₃⋊₂₁C₂ = C₄².₁₄₄D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₂S₃	96		C4^2:2S3:21C2	192,1241
C₄²⋊₂S₃⋊₂₂C₂ = C₄².₁₅₅D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₂S₃	96		C4^2:2S3:22C2	192,1256
C₄²⋊₂S₃⋊₂₃C₂ = C₄²⋊₂₈D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₂S₃	48		C4^2:2S3:23C2	192,1274
C₄²⋊₂S₃⋊₂₄C₂ = C₄².₁₆₈D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₂S₃	96		C4^2:2S3:24C2	192,1278
C₄²⋊₂S₃⋊₂₅C₂ = C₄².₁₇₁D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₂S₃	96		C4^2:2S3:25C2	192,1283
C₄²⋊₂S₃⋊₂₆C₂ = C₄².₁₇₈D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₂S₃	96		C4^2:2S3:26C2	192,1292
C₄²⋊₂S₃⋊₂₇C₂ = C₄².₂₇₇D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₂S₃	96		C4^2:2S3:27C2	192,1038
C₄²⋊₂S₃⋊₂₈C₂ = S₃×C₄²⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₂S₃	48		C4^2:2S3:28C2	192,1079
C₄²⋊₂S₃⋊₂₉C₂ = C₄².₁₈₈D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₂S₃	96		C4^2:2S3:29C2	192,1081
C₄²⋊₂S₃⋊₃₀C₂ = C₄².₉₃D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₂S₃	96		C4^2:2S3:30C2	192,1087
C₄²⋊₂S₃⋊₃₁C₂ = C₄².₁₀₄D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₂S₃	96		C4^2:2S3:31C2	192,1099
C₄²⋊₂S₃⋊₃₂C₂ = C₄²⋊₁₈D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₂S₃	48		C4^2:2S3:32C2	192,1115
C₄²⋊₂S₃⋊₃₃C₂ = C₄².₁₂₂D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₂S₃	96		C4^2:2S3:33C2	192,1127
C₄²⋊₂S₃⋊₃₄C₂ = C₄².₁₃₂D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₂S₃	96		C4^2:2S3:34C2	192,1140
C₄²⋊₂S₃⋊₃₅C₂ = C₄².₁₃₈D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₂S₃	96		C4^2:2S3:35C2	192,1229
C₄²⋊₂S₃⋊₃₆C₂ = C₄²⋊₂₃D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₂S₃	48		C4^2:2S3:36C2	192,1238
C₄²⋊₂S₃⋊₃₇C₂ = C₄².₁₅₁D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₂S₃	96		C4^2:2S3:37C2	192,1252
C₄²⋊₂S₃⋊₃₈C₂ = C₄×C₄○D₁₂	φ: trivial image	96		C4^2:2S3:38C2	192,1033

Non-split extensions G=N.Q with N=C₄²⋊₂S₃ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
C₄²⋊₂S₃.₁C₂ = C₄².₃₀D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₂S₃	96	C4^2:2S3.1C2	192,398
C₄²⋊₂S₃.₂C₂ = C₄².₃₁D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₂S₃	96	C4^2:2S3.2C2	192,399
C₄²⋊₂S₃.₃C₂ = C₄².₁₂₅D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₂S₃	96	C4^2:2S3.3C2	192,1131
C₄²⋊₂S₃.₄C₂ = C₄².₂₃₂D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₂S₃	96	C4^2:2S3.4C2	192,1137
C₄²⋊₂S₃.₅C₂ = C₄².₁₃₄D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₂S₃	96	C4^2:2S3.5C2	192,1142
C₄²⋊₂S₃.₆C₂ = C₄².₁₄₈D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₂S₃	96	C4^2:2S3.6C2	192,1248
C₄²⋊₂S₃.₇C₂ = C₄².₁₅₆D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₂S₃	96	C4^2:2S3.7C2	192,1257
C₄²⋊₂S₃.₈C₂ = C₄².₁₇₄D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₂S₃	96	C4^2:2S3.8C2	192,1288
C₄²⋊₂S₃.₉C₂ = C₄².₁₇₆D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₂S₃	96	C4^2:2S3.9C2	192,1290
C₄²⋊₂S₃.₁₀C₂ = C₄².₂₄₃D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₂S₃	96	C4^2:2S3.10C2	192,249
C₄²⋊₂S₃.₁₁C₂ = D₆.₄C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₂S₃	96	C4^2:2S3.11C2	192,267
C₄²⋊₂S₃.₁₂C₂ = C₄².₁₈₅D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₂S₃	96	C4^2:2S3.12C2	192,268
C₄²⋊₂S₃.₁₃C₂ = D₆.C₄²	φ: trivial image	96	C4^2:2S3.13C2	192,248

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Extensions 1→N→G→Q→1 with N=C42⋊2S3 and Q=C2

Extensions 1→N→G→Q→1 with N=C₄²⋊₂S₃ and Q=C₂