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

Direct product G=NxQ with N=D₂₈:C₄ and Q=C₂

		d	ρ	Label	ID
C₂xD₂₈: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:(C₄oD₄)	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 = C₄xD₄xD₇	φ: trivial image	112	D28:C4:46C2	448,997
D₂₈:C₄:₄₇C₂ = C₄xQ₈:₂D₇	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

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