Extensions 1→N→G→Q→1 with N=C₂₈⋊₂D₄ and Q=C₂

Direct product G=N×Q with N=C₂₈⋊₂D₄ and Q=C₂

		d	ρ	Label	ID
C₂×C₂₈⋊₂D₄		224		C2xC28:2D4	448,1253

Semidirect products G=N:Q with N=C₂₈⋊₂D₄ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
C₂₈⋊₂D₄⋊₁C₂ = D₁₄⋊D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₂D₄	224	C28:2D4:1C2	448,309
C₂₈⋊₂D₄⋊₂C₂ = C₇⋊C₈⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₂D₄	224	C28:2D4:2C2	448,316
C₂₈⋊₂D₄⋊₃C₂ = D₂₈⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₂D₄	112	C28:2D4:3C2	448,690
C₂₈⋊₂D₄⋊₄C₂ = C₅₆⋊₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₂D₄	224	C28:2D4:4C2	448,691
C₂₈⋊₂D₄⋊₅C₂ = Dic₁₄⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₂D₄	224	C28:2D4:5C2	448,692
C₂₈⋊₂D₄⋊₆C₂ = C₅₆⋊₁₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₂D₄	224	C28:2D4:6C2	448,693
C₂₈⋊₂D₄⋊₇C₂ = D₂₈⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₂D₄	224	C28:2D4:7C2	448,706
C₂₈⋊₂D₄⋊₈C₂ = D₂₈⋊₂₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₂D₄	224	C28:2D4:8C2	448,1004
C₂₈⋊₂D₄⋊₉C₂ = C₄².₁₁₃D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₂D₄	224	C28:2D4:9C2	448,1011
C₂₈⋊₂D₄⋊₁₀C₂ = C₄².₁₁₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₂D₄	224	C28:2D4:10C2	448,1015
C₂₈⋊₂D₄⋊₁₁C₂ = C₄².₁₁₇D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₂D₄	224	C28:2D4:11C2	448,1016
C₂₈⋊₂D₄⋊₁₂C₂ = C₂⁴⋊₂D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₂D₄	112	C28:2D4:12C2	448,1042
C₂₈⋊₂D₄⋊₁₃C₂ = C₂⁴.₃₃D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₂D₄	112	C28:2D4:13C2	448,1044
C₂₈⋊₂D₄⋊₁₄C₂ = C₂⁴.₃₅D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₂D₄	112	C28:2D4:14C2	448,1046
C₂₈⋊₂D₄⋊₁₅C₂ = C₂⁴.₃₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₂D₄	112	C28:2D4:15C2	448,1048
C₂₈⋊₂D₄⋊₁₆C₂ = D₇×C₄⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₂D₄	112	C28:2D4:16C2	448,1057
C₂₈⋊₂D₄⋊₁₇C₂ = C₄⋊C₄⋊₂₁D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₂D₄	112	C28:2D4:17C2	448,1059
C₂₈⋊₂D₄⋊₁₈C₂ = C₁₄.₃₈2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₂D₄	112	C28:2D4:18C2	448,1060
C₂₈⋊₂D₄⋊₁₉C₂ = C₁₄.₇₂2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₂D₄	224	C28:2D4:19C2	448,1061
C₂₈⋊₂D₄⋊₂₀C₂ = C₁₄.₇₃2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₂D₄	224	C28:2D4:20C2	448,1064
C₂₈⋊₂D₄⋊₂₁C₂ = D₂₈⋊₂₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₂D₄	112	C28:2D4:21C2	448,1065
C₂₈⋊₂D₄⋊₂₂C₂ = C₁₄.₄₂2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₂D₄	112	C28:2D4:22C2	448,1066
C₂₈⋊₂D₄⋊₂₃C₂ = C₁₄.₄₃2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₂D₄	224	C28:2D4:23C2	448,1067
C₂₈⋊₂D₄⋊₂₄C₂ = C₁₄.₄₄2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₂D₄	224	C28:2D4:24C2	448,1068
C₂₈⋊₂D₄⋊₂₅C₂ = C₁₄.₄₅2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₂D₄	224	C28:2D4:25C2	448,1069
C₂₈⋊₂D₄⋊₂₆C₂ = C₁₄.₁₁₅2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₂D₄	224	C28:2D4:26C2	448,1071
C₂₈⋊₂D₄⋊₂₇C₂ = C₁₄.₄₇2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₂D₄	224	C28:2D4:27C2	448,1072
C₂₈⋊₂D₄⋊₂₈C₂ = C₁₄.₄₈2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₂D₄	112	C28:2D4:28C2	448,1073
C₂₈⋊₂D₄⋊₂₉C₂ = C₁₄.₄₉2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₂D₄	224	C28:2D4:29C2	448,1074
C₂₈⋊₂D₄⋊₃₀C₂ = C₁₄.₆₁2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₂D₄	112	C28:2D4:30C2	448,1110
C₂₈⋊₂D₄⋊₃₁C₂ = C₁₄.₆₄2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₂D₄	224	C28:2D4:31C2	448,1114
C₂₈⋊₂D₄⋊₃₂C₂ = C₁₄.₈₆2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₂D₄	224	C28:2D4:32C2	448,1120
C₂₈⋊₂D₄⋊₃₃C₂ = D₂₈⋊₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₂D₄	112	C28:2D4:33C2	448,1129
C₂₈⋊₂D₄⋊₃₄C₂ = Dic₁₄⋊₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₂D₄	224	C28:2D4:34C2	448,1130
C₂₈⋊₂D₄⋊₃₅C₂ = C₄².₂₃₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₂D₄	224	C28:2D4:35C2	448,1169
C₂₈⋊₂D₄⋊₃₆C₂ = D₂₈⋊₁₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₂D₄	112	C28:2D4:36C2	448,1170
C₂₈⋊₂D₄⋊₃₇C₂ = Dic₁₄⋊₁₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₂D₄	224	C28:2D4:37C2	448,1171
C₂₈⋊₂D₄⋊₃₈C₂ = C₄².₁₆₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₂D₄	224	C28:2D4:38C2	448,1172
C₂₈⋊₂D₄⋊₃₉C₂ = D₄×C₇⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₂D₄	112	C28:2D4:39C2	448,1254
C₂₈⋊₂D₄⋊₄₀C₂ = C₂⁴.₄₁D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₂D₄	112	C28:2D4:40C2	448,1258
C₂₈⋊₂D₄⋊₄₁C₂ = C₂⁴.₄₂D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₂D₄	112	C28:2D4:41C2	448,1259
C₂₈⋊₂D₄⋊₄₂C₂ = C₁₄.₁₀₇2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₂D₄	224	C28:2D4:42C2	448,1284
C₂₈⋊₂D₄⋊₄₃C₂ = C₁₄.₁₀₈2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₂D₄	224	C28:2D4:43C2	448,1286
C₂₈⋊₂D₄⋊₄₄C₂ = C₁₄.₁₄₈2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₂D₄	224	C28:2D4:44C2	448,1287
C₂₈⋊₂D₄⋊₄₅C₂ = C₄².₂₂₈D₁₄	φ: trivial image	224	C28:2D4:45C2	448,1001
C₂₈⋊₂D₄⋊₄₆C₂ = (C₂×C₂₈)⋊₁₅D₄	φ: trivial image	112	C28:2D4:46C2	448,1281

Non-split extensions G=N.Q with N=C₂₈⋊₂D₄ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
C₂₈⋊₂D₄.₁C₂ = D₁₄.D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₂D₄	224	C28:2D4.1C2	448,308
C₂₈⋊₂D₄.₂C₂ = D₁₄.SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₂D₄	224	C28:2D4.2C2	448,311
C₂₈⋊₂D₄.₃C₂ = D₁₄⋊SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₂D₄	224	C28:2D4.3C2	448,312
C₂₈⋊₂D₄.₄C₂ = C₈⋊Dic₇⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₂D₄	224	C28:2D4.4C2	448,313
C₂₈⋊₂D₄.₅C₂ = C₇⋊C₈⋊₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₂D₄	224	C28:2D4.5C2	448,314
C₂₈⋊₂D₄.₆C₂ = C₅₆⋊₁C₄⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₂D₄	224	C28:2D4.6C2	448,318
C₂₈⋊₂D₄.₇C₂ = Dic₁₄⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₂D₄	224	C28:2D4.7C2	448,704
C₂₈⋊₂D₄.₈C₂ = C₅₆⋊₁₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₂D₄	224	C28:2D4.8C2	448,705
C₂₈⋊₂D₄.₉C₂ = C₅₆⋊₈D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₂D₄	224	C28:2D4.9C2	448,708
C₂₈⋊₂D₄.₁₀C₂ = C₄².₁₁₅D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₂D₄	224	C28:2D4.10C2	448,1014
C₂₈⋊₂D₄.₁₁C₂ = C₁₄.₈₃2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₂D₄	224	C28:2D4.11C2	448,1113
C₂₈⋊₂D₄.₁₂C₂ = C₄².₂₃₄D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₂D₄	224	C28:2D4.12C2	448,1133
C₂₈⋊₂D₄.₁₃C₂ = C₄².₁₄₄D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₂D₄	224	C28:2D4.13C2	448,1135
C₂₈⋊₂D₄.₁₄C₂ = C₄².₂₂₉D₁₄	φ: trivial image	224	C28:2D4.14C2	448,1010

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Extensions 1→N→G→Q→1 with N=C28⋊2D4 and Q=C2

Extensions 1→N→G→Q→1 with N=C₂₈⋊₂D₄ and Q=C₂