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	448,1255

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

extension	φ:Q→Out N	d	Label	ID
Dic₇⋊D₄⋊₁C₂ = C₂⁴.₅₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊D₄	112	Dic7:D4:1C2	448,1039
Dic₇⋊D₄⋊₂C₂ = C₂⁴⋊₃D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊D₄	112	Dic7:D4:2C2	448,1043
Dic₇⋊D₄⋊₃C₂ = C₂⁴.₃₃D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊D₄	112	Dic7:D4:3C2	448,1044
Dic₇⋊D₄⋊₄C₂ = C₂⁴.₃₄D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊D₄	112	Dic7:D4:4C2	448,1045
Dic₇⋊D₄⋊₅C₂ = C₂⁴.₃₅D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊D₄	112	Dic7:D4:5C2	448,1046
Dic₇⋊D₄⋊₆C₂ = C₂⁴.₃₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊D₄	112	Dic7:D4:6C2	448,1048
Dic₇⋊D₄⋊₇C₂ = C₂₈⋊(C₄○D₄)	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊D₄	224	Dic7:D4:7C2	448,1049
Dic₇⋊D₄⋊₈C₂ = C₁₄.₆₈2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊D₄	224	Dic7:D4:8C2	448,1050
Dic₇⋊D₄⋊₉C₂ = Dic₁₄⋊₁₉D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊D₄	224	Dic7:D4:9C2	448,1051
Dic₇⋊D₄⋊₁₀C₂ = Dic₁₄⋊₂₀D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊D₄	224	Dic7:D4:10C2	448,1052
Dic₇⋊D₄⋊₁₁C₂ = D₇×C₄⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊D₄	112	Dic7:D4:11C2	448,1057
Dic₇⋊D₄⋊₁₂C₂ = C₁₄.₃₇2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊D₄	112	Dic7:D4:12C2	448,1058
Dic₇⋊D₄⋊₁₃C₂ = C₁₄.₇₂2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊D₄	224	Dic7:D4:13C2	448,1061
Dic₇⋊D₄⋊₁₄C₂ = C₁₄.₄₂2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊D₄	112	Dic7:D4:14C2	448,1066
Dic₇⋊D₄⋊₁₅C₂ = C₁₄.₄₅2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊D₄	224	Dic7:D4:15C2	448,1069
Dic₇⋊D₄⋊₁₆C₂ = C₁₄.₁₁₅2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊D₄	224	Dic7:D4:16C2	448,1071
Dic₇⋊D₄⋊₁₇C₂ = C₁₄.₄₇2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊D₄	224	Dic7:D4:17C2	448,1072
Dic₇⋊D₄⋊₁₈C₂ = C₁₄.₄₈2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊D₄	112	Dic7:D4:18C2	448,1073
Dic₇⋊D₄⋊₁₉C₂ = C₁₄.₄₉2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊D₄	224	Dic7:D4:19C2	448,1074
Dic₇⋊D₄⋊₂₀C₂ = C₁₄.₁₂₁2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊D₄	112	Dic7:D4:20C2	448,1107
Dic₇⋊D₄⋊₂₁C₂ = C₁₄.₈₂2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊D₄	224	Dic7:D4:21C2	448,1108
Dic₇⋊D₄⋊₂₂C₂ = C₁₄.₆₄2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊D₄	224	Dic7:D4:22C2	448,1114
Dic₇⋊D₄⋊₂₃C₂ = C₁₄.₆₆2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊D₄	224	Dic7:D4:23C2	448,1116
Dic₇⋊D₄⋊₂₄C₂ = C₁₄.₈₆2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊D₄	224	Dic7:D4:24C2	448,1120
Dic₇⋊D₄⋊₂₅C₂ = C₄².₁₀₄D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊D₄	224	Dic7:D4:25C2	448,993
Dic₇⋊D₄⋊₂₆C₂ = Dic₁₄⋊₂₃D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊D₄	224	Dic7:D4:26C2	448,1005
Dic₇⋊D₄⋊₂₇C₂ = C₄²⋊₁₇D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊D₄	112	Dic7:D4:27C2	448,1013
Dic₇⋊D₄⋊₂₈C₂ = C₄².₁₁₉D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊D₄	224	Dic7:D4:28C2	448,1018
Dic₇⋊D₄⋊₂₉C₂ = C₁₄.₃₄2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊D₄	224	Dic7:D4:29C2	448,1054
Dic₇⋊D₄⋊₃₀C₂ = C₁₄.₄₀2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊D₄	112	Dic7:D4:30C2	448,1063
Dic₇⋊D₄⋊₃₁C₂ = C₁₄.₄₄2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊D₄	224	Dic7:D4:31C2	448,1068
Dic₇⋊D₄⋊₃₂C₂ = C₁₄.₄₆2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊D₄	112	Dic7:D4:32C2	448,1070
Dic₇⋊D₄⋊₃₃C₂ = C₄².₁₃₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊D₄	224	Dic7:D4:33C2	448,1123
Dic₇⋊D₄⋊₃₄C₂ = C₄²⋊₂₀D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊D₄	112	Dic7:D4:34C2	448,1131
Dic₇⋊D₄⋊₃₅C₂ = C₄².₁₄₅D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊D₄	224	Dic7:D4:35C2	448,1137
Dic₇⋊D₄⋊₃₆C₂ = C₄²⋊₂₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊D₄	112	Dic7:D4:36C2	448,1168
Dic₇⋊D₄⋊₃₇C₂ = Dic₁₄⋊₁₁D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊D₄	224	Dic7:D4:37C2	448,1171
Dic₇⋊D₄⋊₃₈C₂ = C₄².₁₆₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊D₄	224	Dic7:D4:38C2	448,1172
Dic₇⋊D₄⋊₃₉C₂ = C₄²⋊₂₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊D₄	112	Dic7:D4:39C2	448,1173
Dic₇⋊D₄⋊₄₀C₂ = D₄×C₇⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊D₄	112	Dic7:D4:40C2	448,1254
Dic₇⋊D₄⋊₄₁C₂ = C₂⁴⋊₇D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊D₄	112	Dic7:D4:41C2	448,1257
Dic₇⋊D₄⋊₄₂C₂ = C₂⁴.₄₂D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊D₄	112	Dic7:D4:42C2	448,1259
Dic₇⋊D₄⋊₄₃C₂ = C₁₄.₁₀₄2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊D₄	224	Dic7:D4:43C2	448,1277
Dic₇⋊D₄⋊₄₄C₂ = C₁₄.₁₄₅2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊D₄	112	Dic7:D4:44C2	448,1282
Dic₇⋊D₄⋊₄₅C₂ = C₁₄.₁₀₈2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊D₄	224	Dic7:D4:45C2	448,1286
Dic₇⋊D₄⋊₄₆C₂ = C₄²⋊₁₂D₁₄	φ: trivial image	112	Dic7:D4:46C2	448,1000
Dic₇⋊D₄⋊₄₇C₂ = (C₂×C₂₈)⋊₁₇D₄	φ: trivial image	224	Dic7:D4:47C2	448,1285

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

extension	φ:Q→Out N	d	Label	ID
Dic₇⋊D₄.₁C₂ = C₄⋊C₄.₁₉₇D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊D₄	224	Dic7:D4.1C2	448,1102
Dic₇⋊D₄.₂C₂ = C₁₄.₈₄2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊D₄	224	Dic7:D4.2C2	448,1115
Dic₇⋊D₄.₃C₂ = C₁₄.₈₅2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊D₄	224	Dic7:D4.3C2	448,1118
Dic₇⋊D₄.₄C₂ = C₄².₁₁₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊D₄	224	Dic7:D4.4C2	448,1017
Dic₇⋊D₄.₅C₂ = C₄².₁₃₇D₁₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₇⋊D₄	224	Dic7:D4.5C2	448,1122
Dic₇⋊D₄.₆C₂ = C₄².₁₀₂D₁₄	φ: trivial image	224	Dic7:D4.6C2	448,991

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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