Extensions 1→N→G→Q→1 with N=D₂₈⋊C₄ and Q=C₂

Direct product G=N×Q with N=D₂₈⋊C₄ and Q=C₂

		d	ρ	Label	ID
C₂×D₂₈⋊C₄		224		C2xD28:C4	448,956

Semidirect products G=N:Q with N=D₂₈⋊C₄ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
D₂₈⋊C₄⋊₁C₂ = Dic₇⋊₄D₈	φ: C₂/C₁ → C₂ ⊆ Out D₂₈⋊C₄	224	D28:C4:1C2	448,290
D₂₈⋊C₄⋊₂C₂ = D₄⋊D₇⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₂₈⋊C₄	224	D28:C4:2C2	448,319
D₂₈⋊C₄⋊₃C₂ = D₂₈⋊₃D₄	φ: C₂/C₁ → C₂ ⊆ Out D₂₈⋊C₄	224	D28:C4:3C2	448,320
D₂₈⋊C₄⋊₄C₂ = D₂₈.D₄	φ: C₂/C₁ → C₂ ⊆ Out D₂₈⋊C₄	224	D28:C4:4C2	448,321
D₂₈⋊C₄⋊₅C₂ = D₂₈.₁₂D₄	φ: C₂/C₁ → C₂ ⊆ Out D₂₈⋊C₄	224	D28:C4:5C2	448,353
D₂₈⋊C₄⋊₆C₂ = D₅₆⋊₉C₄	φ: C₂/C₁ → C₂ ⊆ Out D₂₈⋊C₄	224	D28:C4:6C2	448,403
D₂₈⋊C₄⋊₇C₂ = Dic₇⋊₅D₈	φ: C₂/C₁ → C₂ ⊆ Out D₂₈⋊C₄	224	D28:C4:7C2	448,406
D₂₈⋊C₄⋊₈C₂ = C₁₄.₈2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₂₈⋊C₄	224	D28:C4:8C2	448,957
D₂₈⋊C₄⋊₉C₂ = C₁₄.2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₂₈⋊C₄	224	D28:C4:9C2	448,960
D₂₈⋊C₄⋊₁₀C₂ = C₁₄.₁₁2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₂₈⋊C₄	224	D28:C4:10C2	448,967
D₂₈⋊C₄⋊₁₁C₂ = C₄²⋊₇D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₂₈⋊C₄	112	D28:C4:11C2	448,974
D₂₈⋊C₄⋊₁₂C₂ = C₄².₉₅D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₂₈⋊C₄	224	D28:C4:12C2	448,983
D₂₈⋊C₄⋊₁₃C₂ = C₄².₉₇D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₂₈⋊C₄	224	D28:C4:13C2	448,985
D₂₈⋊C₄⋊₁₄C₂ = C₄²⋊₁₁D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₂₈⋊C₄	112	D28:C4:14C2	448,998
D₂₈⋊C₄⋊₁₅C₂ = Dic₁₄⋊₂₄D₄	φ: C₂/C₁ → C₂ ⊆ Out D₂₈⋊C₄	224	D28:C4:15C2	448,1006
D₂₈⋊C₄⋊₁₆C₂ = C₄².₁₁₄D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₂₈⋊C₄	224	D28:C4:16C2	448,1012
D₂₈⋊C₄⋊₁₇C₂ = C₄².₁₂₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₂₈⋊C₄	224	D28:C4:17C2	448,1027
D₂₈⋊C₄⋊₁₈C₂ = C₄².₁₃₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₂₈⋊C₄	224	D28:C4:18C2	448,1038
D₂₈⋊C₄⋊₁₉C₂ = C₂₈⋊(C₄○D₄)	φ: C₂/C₁ → C₂ ⊆ Out D₂₈⋊C₄	224	D28:C4:19C2	448,1049
D₂₈⋊C₄⋊₂₀C₂ = D₂₈⋊₁₉D₄	φ: C₂/C₁ → C₂ ⊆ Out D₂₈⋊C₄	112	D28:C4:20C2	448,1062
D₂₈⋊C₄⋊₂₁C₂ = D₂₈⋊₂₀D₄	φ: C₂/C₁ → C₂ ⊆ Out D₂₈⋊C₄	112	D28:C4:21C2	448,1065
D₂₈⋊C₄⋊₂₂C₂ = C₁₄.₄₇2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₂₈⋊C₄	224	D28:C4:22C2	448,1072
D₂₈⋊C₄⋊₂₃C₂ = C₂²⋊Q₈⋊₂₅D₇	φ: C₂/C₁ → C₂ ⊆ Out D₂₈⋊C₄	224	D28:C4:23C2	448,1077
D₂₈⋊C₄⋊₂₄C₂ = C₄⋊C₄⋊₂₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₂₈⋊C₄	112	D28:C4:24C2	448,1080
D₂₈⋊C₄⋊₂₅C₂ = D₂₈⋊₂₁D₄	φ: C₂/C₁ → C₂ ⊆ Out D₂₈⋊C₄	112	D28:C4:25C2	448,1083
D₂₈⋊C₄⋊₂₆C₂ = D₂₈⋊₂₂D₄	φ: C₂/C₁ → C₂ ⊆ Out D₂₈⋊C₄	224	D28:C4:26C2	448,1084
D₂₈⋊C₄⋊₂₇C₂ = Dic₁₄⋊₂₂D₄	φ: C₂/C₁ → C₂ ⊆ Out D₂₈⋊C₄	224	D28:C4:27C2	448,1086
D₂₈⋊C₄⋊₂₈C₂ = C₁₄.₅₃2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₂₈⋊C₄	112	D28:C4:28C2	448,1090
D₂₈⋊C₄⋊₂₉C₂ = C₁₄.₂₀2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₂₈⋊C₄	224	D28:C4:29C2	448,1091
D₂₈⋊C₄⋊₃₀C₂ = C₁₄.₂₄2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₂₈⋊C₄	224	D28:C4:30C2	448,1096
D₂₈⋊C₄⋊₃₁C₂ = C₁₄.₁₂₁2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₂₈⋊C₄	112	D28:C4:31C2	448,1107
D₂₈⋊C₄⋊₃₂C₂ = C₄⋊C₄⋊₂₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₂₈⋊C₄	112	D28:C4:32C2	448,1109
D₂₈⋊C₄⋊₃₃C₂ = C₁₄.₆₁2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₂₈⋊C₄	112	D28:C4:33C2	448,1110
D₂₈⋊C₄⋊₃₄C₂ = C₁₄.₆₄2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₂₈⋊C₄	224	D28:C4:34C2	448,1114
D₂₈⋊C₄⋊₃₅C₂ = C₄².₂₃₇D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₂₈⋊C₄	224	D28:C4:35C2	448,1144
D₂₈⋊C₄⋊₃₆C₂ = C₄².₁₅₀D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₂₈⋊C₄	224	D28:C4:36C2	448,1145
D₂₈⋊C₄⋊₃₇C₂ = C₄².₁₅₃D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₂₈⋊C₄	224	D28:C4:37C2	448,1148
D₂₈⋊C₄⋊₃₈C₂ = C₄².₁₅₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₂₈⋊C₄	224	D28:C4:38C2	448,1151
D₂₈⋊C₄⋊₃₉C₂ = C₄²⋊₂₃D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₂₈⋊C₄	112	D28:C4:39C2	448,1157
D₂₈⋊C₄⋊₄₀C₂ = C₄²⋊₂₄D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₂₈⋊C₄	112	D28:C4:40C2	448,1158
D₂₈⋊C₄⋊₄₁C₂ = C₄².₁₈₉D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₂₈⋊C₄	224	D28:C4:41C2	448,1159
D₂₈⋊C₄⋊₄₂C₂ = C₄².₁₆₃D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₂₈⋊C₄	224	D28:C4:42C2	448,1162
D₂₈⋊C₄⋊₄₃C₂ = C₄².₂₄₀D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₂₈⋊C₄	224	D28:C4:43C2	448,1178
D₂₈⋊C₄⋊₄₄C₂ = C₄².₁₇₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₂₈⋊C₄	224	D28:C4:44C2	448,1186
D₂₈⋊C₄⋊₄₅C₂ = C₄².₁₈₈D₁₄	φ: trivial image	224	D28:C4:45C2	448,975
D₂₈⋊C₄⋊₄₆C₂ = C₄×D₄×D₇	φ: trivial image	112	D28:C4:46C2	448,997
D₂₈⋊C₄⋊₄₇C₂ = C₄×Q₈⋊₂D₇	φ: trivial image	224	D28:C4:47C2	448,1026

Non-split extensions G=N.Q with N=D₂₈⋊C₄ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
D₂₈⋊C₄.₁C₂ = Dic₇⋊₇SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₂₈⋊C₄	224	D28:C4.1C2	448,322
D₂₈⋊C₄.₂C₂ = Q₈⋊D₇⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₂₈⋊C₄	224	D28:C4.2C2	448,351
D₂₈⋊C₄.₃C₂ = Dic₇⋊SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₂₈⋊C₄	224	D28:C4.3C2	448,352
D₂₈⋊C₄.₄C₂ = Dic₇⋊₈SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out D₂₈⋊C₄	224	D28:C4.4C2	448,386
D₂₈⋊C₄.₅C₂ = D₂₈⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out D₂₈⋊C₄	224	D28:C4.5C2	448,404
D₂₈⋊C₄.₆C₂ = D₂₈.Q₈	φ: C₂/C₁ → C₂ ⊆ Out D₂₈⋊C₄	224	D28:C4.6C2	448,405
D₂₈⋊C₄.₇C₂ = C₅₆⋊C₂⋊C₄	φ: C₂/C₁ → C₂ ⊆ Out D₂₈⋊C₄	224	D28:C4.7C2	448,423
D₂₈⋊C₄.₈C₂ = D₂₈⋊₂Q₈	φ: C₂/C₁ → C₂ ⊆ Out D₂₈⋊C₄	224	D28:C4.8C2	448,424
D₂₈⋊C₄.₉C₂ = D₂₈.₂Q₈	φ: C₂/C₁ → C₂ ⊆ Out D₂₈⋊C₄	224	D28:C4.9C2	448,425
D₂₈⋊C₄.₁₀C₂ = C₄².₁₂₂D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₂₈⋊C₄	224	D28:C4.10C2	448,1021
D₂₈⋊C₄.₁₁C₂ = D₂₈⋊₇Q₈	φ: C₂/C₁ → C₂ ⊆ Out D₂₈⋊C₄	224	D28:C4.11C2	448,1143
D₂₈⋊C₄.₁₂C₂ = C₄².₁₅₁D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₂₈⋊C₄	224	D28:C4.12C2	448,1146
D₂₈⋊C₄.₁₃C₂ = D₂₈⋊₈Q₈	φ: C₂/C₁ → C₂ ⊆ Out D₂₈⋊C₄	224	D28:C4.13C2	448,1180
D₂₈⋊C₄.₁₄C₂ = D₂₈⋊₉Q₈	φ: C₂/C₁ → C₂ ⊆ Out D₂₈⋊C₄	224	D28:C4.14C2	448,1183

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Extensions 1→N→G→Q→1 with N=D28⋊C4 and Q=C2

Extensions 1→N→G→Q→1 with N=D₂₈⋊C₄ and Q=C₂