Extensions 1→N→G→Q→1 with N=C₄²⋊₇S₃ and Q=C₂

Direct product G=N×Q with N=C₄²⋊₇S₃ and Q=C₂

		d	ρ	Label	ID
C₂×C₄²⋊₇S₃		96		C2xC4^2:7S3	192,1035

Semidirect products G=N:Q with N=C₄²⋊₇S₃ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₄²⋊₇S₃⋊₁C₂ = C₈.₈D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₇S₃	96		C4^2:7S3:1C2	192,255
C₄²⋊₇S₃⋊₂C₂ = C₈⋊D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₇S₃	96		C4^2:7S3:2C2	192,271
C₄²⋊₇S₃⋊₃C₂ = C₄²⋊₁₁D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₇S₃	48		C4^2:7S3:3C2	192,1084
C₄²⋊₇S₃⋊₄C₂ = C₄².₉₂D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₇S₃	96		C4^2:7S3:4C2	192,1085
C₄²⋊₇S₃⋊₅C₂ = C₄².₉₉D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₇S₃	96		C4^2:7S3:5C2	192,1093
C₄²⋊₇S₃⋊₆C₂ = C₄²⋊₁₂D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₇S₃	48		C4^2:7S3:6C2	192,1086
C₄²⋊₇S₃⋊₇C₂ = C₄².₉₇D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₇S₃	96		C4^2:7S3:7C2	192,1091
C₄²⋊₇S₃⋊₈C₂ = C₄²⋊₂₅D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₇S₃	48		C4^2:7S3:8C2	192,1263
C₄²⋊₇S₃⋊₉C₂ = C₄².₁₆₄D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₇S₃	96		C4^2:7S3:9C2	192,1269
C₄²⋊₇S₃⋊₁₀C₂ = C₄²⋊₅D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₇S₃	48	4	C4^2:7S3:10C2	192,384
C₄²⋊₇S₃⋊₁₁C₂ = D₄.₁₀D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₇S₃	48	4	C4^2:7S3:11C2	192,386
C₄²⋊₇S₃⋊₁₂C₂ = D₁₂.₁₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₇S₃	96		C4^2:7S3:12C2	192,403
C₄²⋊₇S₃⋊₁₃C₂ = D₄.₁D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₇S₃	96		C4^2:7S3:13C2	192,575
C₄²⋊₇S₃⋊₁₄C₂ = C₄².₂₁₄D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₇S₃	96		C4^2:7S3:14C2	192,618
C₄²⋊₇S₃⋊₁₅C₂ = C₄².₇₄D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₇S₃	96		C4^2:7S3:15C2	192,633
C₄²⋊₇S₃⋊₁₆C₂ = D₁₂⋊₂₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₇S₃	48		C4^2:7S3:16C2	192,1109
C₄²⋊₇S₃⋊₁₇C₂ = Dic₆⋊₂₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₇S₃	96		C4^2:7S3:17C2	192,1111
C₄²⋊₇S₃⋊₁₈C₂ = D₄⋊₅D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₇S₃	48		C4^2:7S3:18C2	192,1113
C₄²⋊₇S₃⋊₁₉C₂ = C₄².₁₁₄D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₇S₃	96		C4^2:7S3:19C2	192,1118
C₄²⋊₇S₃⋊₂₀C₂ = Q₈⋊₆D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₇S₃	96		C4^2:7S3:20C2	192,1135
C₄²⋊₇S₃⋊₂₁C₂ = C₄².₁₃₆D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₇S₃	96		C4^2:7S3:21C2	192,1144
C₄²⋊₇S₃⋊₂₂C₂ = C₄².₂₃₃D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₇S₃	96		C4^2:7S3:22C2	192,1227
C₄²⋊₇S₃⋊₂₃C₂ = S₃×C₄.₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₇S₃	48		C4^2:7S3:23C2	192,1232
C₄²⋊₇S₃⋊₂₄C₂ = C₄².₂₃₇D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₇S₃	96		C4^2:7S3:24C2	192,1250
C₄²⋊₇S₃⋊₂₅C₂ = C₄²⋊₂₈D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₇S₃	48		C4^2:7S3:25C2	192,1274
C₄²⋊₇S₃⋊₂₆C₂ = C₄².₁₇₁D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₇S₃	96		C4^2:7S3:26C2	192,1283
C₄²⋊₇S₃⋊₂₇C₂ = C₄².₁₇₈D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₇S₃	96		C4^2:7S3:27C2	192,1292
C₄²⋊₇S₃⋊₂₈C₂ = C₄²⋊₁₉D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₇S₃	48		C4^2:7S3:28C2	192,1119
C₄²⋊₇S₃⋊₂₉C₂ = C₄².₁₃₃D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₇S₃	96		C4^2:7S3:29C2	192,1141
C₄²⋊₇S₃⋊₃₀C₂ = C₄²⋊₂₄D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₇S₃	48		C4^2:7S3:30C2	192,1242
C₄²⋊₇S₃⋊₃₁C₂ = C₄².₁₄₅D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₇S₃	96		C4^2:7S3:31C2	192,1243
C₄²⋊₇S₃⋊₃₂C₂ = C₄².₁₅₈D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₇S₃	96		C4^2:7S3:32C2	192,1259
C₄²⋊₇S₃⋊₃₃C₂ = C₄².₂₇₆D₆	φ: trivial image	96		C4^2:7S3:33C2	192,1036
C₄²⋊₇S₃⋊₃₄C₂ = C₄².₂₇₇D₆	φ: trivial image	96		C4^2:7S3:34C2	192,1038

Non-split extensions G=N.Q with N=C₄²⋊₇S₃ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
C₄²⋊₇S₃.₁C₂ = C₄².₂₆₄D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₇S₃	96	C4^2:7S3.1C2	192,256
C₄²⋊₇S₃.₂C₂ = C₄².₂₀D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₇S₃	96	C4^2:7S3.2C2	192,273
C₄²⋊₇S₃.₃C₂ = C₈.D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₇S₃	96	C4^2:7S3.3C2	192,274
C₄²⋊₇S₃.₄C₂ = C₄².D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₇S₃	96	C4^2:7S3.4C2	192,23
C₄²⋊₇S₃.₅C₂ = C₄².₃₆D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₇S₃	96	C4^2:7S3.5C2	192,404
C₄²⋊₇S₃.₆C₂ = Q₈.₆D₁₂	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₇S₃	96	C4^2:7S3.6C2	192,587
C₄²⋊₇S₃.₇C₂ = C₄².₂₁₆D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₇S₃	96	C4^2:7S3.7C2	192,627
C₄²⋊₇S₃.₈C₂ = C₄².₈₀D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₇S₃	96	C4^2:7S3.8C2	192,645
C₄²⋊₇S₃.₉C₂ = C₄².₈₂D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₇S₃	96	C4^2:7S3.9C2	192,648
C₄²⋊₇S₃.₁₀C₂ = C₄².₁₂₂D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₇S₃	96	C4^2:7S3.10C2	192,1127
C₄²⋊₇S₃.₁₁C₂ = C₄².₁₃₅D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₇S₃	96	C4^2:7S3.11C2	192,1143
C₄²⋊₇S₃.₁₂C₂ = C₄².₁₅₇D₆	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊₇S₃	96	C4^2:7S3.12C2	192,1258

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C42⋊7S3 and Q=C2

Extensions 1→N→G→Q→1 with N=C₄²⋊₇S₃ and Q=C₂