Extensions 1→N→G→Q→1 with N=C₄²⋊D₇ and Q=C₂

Direct product G=N×Q with N=C₄²⋊D₇ and Q=C₂

		d	ρ	Label	ID
C₂×C₄²⋊D₇		224		C2xC4^2:D7	448,925

Semidirect products G=N:Q with N=C₄²⋊D₇ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₄²⋊D₇⋊₁C₂ = C₄²⋊₁₀D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₇	112		C4^2:D7:1C2	448,980
C₄²⋊D₇⋊₂C₂ = C₄².₉₄D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₇	224		C4^2:D7:2C2	448,982
C₄²⋊D₇⋊₃C₂ = C₄².₉₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₇	224		C4^2:D7:3C2	448,984
C₄²⋊D₇⋊₄C₂ = C₄².₉₇D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₇	224		C4^2:D7:4C2	448,985
C₄²⋊D₇⋊₅C₂ = C₄².₁₆₀D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₇	224		C4^2:D7:5C2	448,1155
C₄²⋊D₇⋊₆C₂ = C₄²⋊₂₄D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₇	112		C4^2:D7:6C2	448,1158
C₄²⋊D₇⋊₇C₂ = C₄².₁₆₂D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₇	224		C4^2:D7:7C2	448,1161
C₄²⋊D₇⋊₈C₂ = C₄².₁₆₃D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₇	224		C4^2:D7:8C2	448,1162
C₄²⋊D₇⋊₉C₂ = C₄²⋊D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₇	112	4	C4^2:D7:9C2	448,355
C₄²⋊D₇⋊₁₀C₂ = C₄².₁₀₂D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₇	224		C4^2:D7:10C2	448,991
C₄²⋊D₇⋊₁₁C₂ = C₄²⋊₁₁D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₇	112		C4^2:D7:11C2	448,998
C₄²⋊D₇⋊₁₂C₂ = C₄².₁₀₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₇	224		C4^2:D7:12C2	448,999
C₄²⋊D₇⋊₁₃C₂ = C₄²⋊₁₂D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₇	112		C4^2:D7:13C2	448,1000
C₄²⋊D₇⋊₁₄C₂ = C₄².₁₁₅D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₇	224		C4^2:D7:14C2	448,1014
C₄²⋊D₇⋊₁₅C₂ = C₄².₁₁₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₇	224		C4^2:D7:15C2	448,1015
C₄²⋊D₇⋊₁₆C₂ = C₄².₁₂₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₇	224		C4^2:D7:16C2	448,1027
C₄²⋊D₇⋊₁₇C₂ = C₄².₁₃₁D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₇	224		C4^2:D7:17C2	448,1033
C₄²⋊D₇⋊₁₈C₂ = C₄².₁₃₃D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₇	224		C4^2:D7:18C2	448,1035
C₄²⋊D₇⋊₁₉C₂ = C₄²⋊₁₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₇	112		C4^2:D7:19C2	448,1127
C₄²⋊D₇⋊₂₀C₂ = C₄².₁₄₁D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₇	224		C4^2:D7:20C2	448,1128
C₄²⋊D₇⋊₂₁C₂ = C₄².₁₄₄D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₇	224		C4^2:D7:21C2	448,1135
C₄²⋊D₇⋊₂₂C₂ = C₄².₁₅₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₇	224		C4^2:D7:22C2	448,1151
C₄²⋊D₇⋊₂₃C₂ = C₄²⋊₂₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₇	112		C4^2:D7:23C2	448,1168
C₄²⋊D₇⋊₂₄C₂ = C₄².₁₆₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₇	224		C4^2:D7:24C2	448,1172
C₄²⋊D₇⋊₂₅C₂ = C₄².₁₇₁D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₇	224		C4^2:D7:25C2	448,1177
C₄²⋊D₇⋊₂₆C₂ = C₄².₁₇₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₇	224		C4^2:D7:26C2	448,1186
C₄²⋊D₇⋊₂₇C₂ = C₄².₂₇₇D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₇	224		C4^2:D7:27C2	448,932
C₄²⋊D₇⋊₂₈C₂ = D₇×C₄²⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₇	112		C4^2:D7:28C2	448,973
C₄²⋊D₇⋊₂₉C₂ = C₄².₁₈₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₇	224		C4^2:D7:29C2	448,975
C₄²⋊D₇⋊₃₀C₂ = C₄².₉₃D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₇	224		C4^2:D7:30C2	448,981
C₄²⋊D₇⋊₃₁C₂ = C₄².₁₀₄D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₇	224		C4^2:D7:31C2	448,993
C₄²⋊D₇⋊₃₂C₂ = C₄²⋊₁₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₇	112		C4^2:D7:32C2	448,1009
C₄²⋊D₇⋊₃₃C₂ = C₄².₁₂₂D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₇	224		C4^2:D7:33C2	448,1021
C₄²⋊D₇⋊₃₄C₂ = C₄².₁₃₂D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₇	224		C4^2:D7:34C2	448,1034
C₄²⋊D₇⋊₃₅C₂ = C₄².₁₃₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₇	224		C4^2:D7:35C2	448,1123
C₄²⋊D₇⋊₃₆C₂ = C₄²⋊₂₁D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₇	112		C4^2:D7:36C2	448,1132
C₄²⋊D₇⋊₃₇C₂ = C₄².₁₅₁D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₇	224		C4^2:D7:37C2	448,1146
C₄²⋊D₇⋊₃₈C₂ = C₄×C₄○D₂₈	φ: trivial image	224		C4^2:D7:38C2	448,927

Non-split extensions G=N.Q with N=C₄²⋊D₇ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
C₄²⋊D₇.₁C₂ = C₄².₃₀D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₇	224	C4^2:D7.1C2	448,373
C₄²⋊D₇.₂C₂ = C₄².₃₁D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₇	224	C4^2:D7.2C2	448,374
C₄²⋊D₇.₃C₂ = C₄².₁₂₅D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₇	224	C4^2:D7.3C2	448,1025
C₄²⋊D₇.₄C₂ = C₄².₂₃₂D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₇	224	C4^2:D7.4C2	448,1031
C₄²⋊D₇.₅C₂ = C₄².₁₃₄D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₇	224	C4^2:D7.5C2	448,1036
C₄²⋊D₇.₆C₂ = C₄².₁₄₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₇	224	C4^2:D7.6C2	448,1142
C₄²⋊D₇.₇C₂ = C₄².₁₅₅D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₇	224	C4^2:D7.7C2	448,1150
C₄²⋊D₇.₈C₂ = C₄².₁₇₄D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₇	224	C4^2:D7.8C2	448,1182
C₄²⋊D₇.₉C₂ = C₄².₁₇₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₇	224	C4^2:D7.9C2	448,1184
C₄²⋊D₇.₁₀C₂ = C₄².₂₄₃D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₇	224	C4^2:D7.10C2	448,224
C₄²⋊D₇.₁₁C₂ = D₁₄.₄C₄²	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₇	224	C4^2:D7.11C2	448,242
C₄²⋊D₇.₁₂C₂ = C₄².₁₈₅D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₄²⋊D₇	224	C4^2:D7.12C2	448,243
C₄²⋊D₇.₁₃C₂ = D₁₄.C₄²	φ: trivial image	224	C4^2:D7.13C2	448,223

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Extensions 1→N→G→Q→1 with N=C42⋊D7 and Q=C2

Extensions 1→N→G→Q→1 with N=C₄²⋊D₇ and Q=C₂