Extensions 1→N→G→Q→1 with N=Dic₇.D₄ and Q=C₂

Direct product G=N×Q with N=Dic₇.D₄ and Q=C₂

		d	ρ	Label	ID
C₂×Dic₇.D₄		224		C2xDic7.D4	448,944

Semidirect products G=N:Q with N=Dic₇.D₄ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
Dic₇.D₄⋊₁C₂ = C₂⁴.₂₇D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇.D₄	112	Dic7.D4:1C2	448,943
Dic₇.D₄⋊₂C₂ = C₂⁴.₃₀D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇.D₄	112	Dic7.D4:2C2	448,947
Dic₇.D₄⋊₃C₂ = C₂⁴.₃₁D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇.D₄	112	Dic7.D4:3C2	448,948
Dic₇.D₄⋊₄C₂ = C₄².₉₇D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇.D₄	224	Dic7.D4:4C2	448,985
Dic₇.D₄⋊₅C₂ = C₄².₉₉D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇.D₄	224	Dic7.D4:5C2	448,987
Dic₇.D₄⋊₆C₂ = Dic₁₄⋊₂₃D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇.D₄	224	Dic7.D4:6C2	448,1005
Dic₇.D₄⋊₇C₂ = C₄²⋊₁₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇.D₄	112	Dic7.D4:7C2	448,1009
Dic₇.D₄⋊₈C₂ = C₄².₁₁₄D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇.D₄	224	Dic7.D4:8C2	448,1012
Dic₇.D₄⋊₉C₂ = C₄²⋊₁₇D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇.D₄	112	Dic7.D4:9C2	448,1013
Dic₇.D₄⋊₁₀C₂ = C₄².₁₁₅D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇.D₄	224	Dic7.D4:10C2	448,1014
Dic₇.D₄⋊₁₁C₂ = C₄².₁₁₇D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇.D₄	224	Dic7.D4:11C2	448,1016
Dic₇.D₄⋊₁₂C₂ = C₂⁴.₃₃D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇.D₄	112	Dic7.D4:12C2	448,1044
Dic₇.D₄⋊₁₃C₂ = C₂⁴.₃₄D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇.D₄	112	Dic7.D4:13C2	448,1045
Dic₇.D₄⋊₁₄C₂ = C₂⁴.₃₅D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇.D₄	112	Dic7.D4:14C2	448,1046
Dic₇.D₄⋊₁₅C₂ = C₂⁴⋊₄D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇.D₄	112	Dic7.D4:15C2	448,1047
Dic₇.D₄⋊₁₆C₂ = C₂₈⋊(C₄○D₄)	φ: C₂/C₁ → C₂ ⊆ Out Dic₇.D₄	224	Dic7.D4:16C2	448,1049
Dic₇.D₄⋊₁₇C₂ = Dic₁₄⋊₁₉D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇.D₄	224	Dic7.D4:17C2	448,1051
Dic₇.D₄⋊₁₈C₂ = C₁₄.₃₈2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₇.D₄	112	Dic7.D4:18C2	448,1060
Dic₇.D₄⋊₁₉C₂ = C₁₄.₄₀2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₇.D₄	112	Dic7.D4:19C2	448,1063
Dic₇.D₄⋊₂₀C₂ = C₁₄.₄₂2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₇.D₄	112	Dic7.D4:20C2	448,1066
Dic₇.D₄⋊₂₁C₂ = C₁₄.₄₅2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₇.D₄	224	Dic7.D4:21C2	448,1069
Dic₇.D₄⋊₂₂C₂ = C₁₄.₄₆2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₇.D₄	112	Dic7.D4:22C2	448,1070
Dic₇.D₄⋊₂₃C₂ = C₁₄.₄₉2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₇.D₄	224	Dic7.D4:23C2	448,1074
Dic₇.D₄⋊₂₄C₂ = C₁₄.₁₆2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₇.D₄	224	Dic7.D4:24C2	448,1081
Dic₇.D₄⋊₂₅C₂ = Dic₁₄⋊₂₂D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇.D₄	224	Dic7.D4:25C2	448,1086
Dic₇.D₄⋊₂₆C₂ = C₁₄.₂₂2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₇.D₄	224	Dic7.D4:26C2	448,1093
Dic₇.D₄⋊₂₇C₂ = C₁₄.₂₄2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₇.D₄	224	Dic7.D4:27C2	448,1096
Dic₇.D₄⋊₂₈C₂ = C₁₄.₂₆2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₇.D₄	224	Dic7.D4:28C2	448,1100
Dic₇.D₄⋊₂₉C₂ = C₁₄.₇₉2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₇.D₄	224	Dic7.D4:29C2	448,1101
Dic₇.D₄⋊₃₀C₂ = C₄⋊C₄.₁₉₇D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇.D₄	224	Dic7.D4:30C2	448,1102
Dic₇.D₄⋊₃₁C₂ = C₁₄.₁₂₁2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₇.D₄	112	Dic7.D4:31C2	448,1107
Dic₇.D₄⋊₃₂C₂ = C₁₄.₆₁2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₇.D₄	112	Dic7.D4:32C2	448,1110
Dic₇.D₄⋊₃₃C₂ = C₁₄.₁₂₂2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₇.D₄	112	Dic7.D4:33C2	448,1111
Dic₇.D₄⋊₃₄C₂ = C₁₄.₈₄2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₇.D₄	224	Dic7.D4:34C2	448,1115
Dic₇.D₄⋊₃₅C₂ = C₁₄.₆₇2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₇.D₄	224	Dic7.D4:35C2	448,1117
Dic₇.D₄⋊₃₆C₂ = C₁₄.₈₆2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₇.D₄	224	Dic7.D4:36C2	448,1120
Dic₇.D₄⋊₃₇C₂ = C₄².₁₃₇D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇.D₄	224	Dic7.D4:37C2	448,1122
Dic₇.D₄⋊₃₈C₂ = C₄².₁₃₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇.D₄	224	Dic7.D4:38C2	448,1123
Dic₇.D₄⋊₃₉C₂ = D₇×C₄.₄D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇.D₄	112	Dic7.D4:39C2	448,1126
Dic₇.D₄⋊₄₀C₂ = Dic₁₄⋊₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇.D₄	224	Dic7.D4:40C2	448,1130
Dic₇.D₄⋊₄₁C₂ = C₄².₁₄₃D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇.D₄	224	Dic7.D4:41C2	448,1134
Dic₇.D₄⋊₄₂C₂ = C₄².₁₄₄D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇.D₄	224	Dic7.D4:42C2	448,1135
Dic₇.D₄⋊₄₃C₂ = C₄²⋊₂₂D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇.D₄	112	Dic7.D4:43C2	448,1136
Dic₇.D₄⋊₄₄C₂ = C₄²⋊₂₃D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇.D₄	112	Dic7.D4:44C2	448,1157
Dic₇.D₄⋊₄₅C₂ = C₄²⋊₂₄D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇.D₄	112	Dic7.D4:45C2	448,1158
Dic₇.D₄⋊₄₆C₂ = C₄².₁₈₉D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇.D₄	224	Dic7.D4:46C2	448,1159
Dic₇.D₄⋊₄₇C₂ = C₄².₁₆₄D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇.D₄	224	Dic7.D4:47C2	448,1163
Dic₇.D₄⋊₄₈C₂ = C₄².₉₃D₁₄	φ: trivial image	224	Dic7.D4:48C2	448,981
Dic₇.D₄⋊₄₉C₂ = C₄².₁₀₂D₁₄	φ: trivial image	224	Dic7.D4:49C2	448,991
Dic₇.D₄⋊₅₀C₂ = C₄².₂₂₈D₁₄	φ: trivial image	224	Dic7.D4:50C2	448,1001

Non-split extensions G=N.Q with N=Dic₇.D₄ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
Dic₇.D₄.₁C₂ = C₄².₉₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇.D₄	224	Dic7.D4.1C2	448,986
Dic₇.D₄.₂C₂ = C₁₄.₂₃2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₇.D₄	224	Dic7.D4.2C2	448,1094
Dic₇.D₄.₃C₂ = C₁₄.₅₈2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₇.D₄	224	Dic7.D4.3C2	448,1099
Dic₇.D₄.₄C₂ = C₄².₁₆₀D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇.D₄	224	Dic7.D4.4C2	448,1155
Dic₇.D₄.₅C₂ = C₄².₁₆₅D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇.D₄	224	Dic7.D4.5C2	448,1165

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Extensions 1→N→G→Q→1 with N=Dic7.D4 and Q=C2

Extensions 1→N→G→Q→1 with N=Dic₇.D₄ and Q=C₂