Extensions 1→N→G→Q→1 with N=C₂₈⋊₇D₄ and Q=C₂

Direct product G=N×Q with N=C₂₈⋊₇D₄ and Q=C₂

		d	ρ	Label	ID
C₂×C₂₈⋊₇D₄		224		C2xC28:7D4	448,1243

Semidirect products G=N:Q with N=C₂₈⋊₇D₄ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
C₂₈⋊₇D₄⋊₁C₂ = D₂₈⋊₁₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₇D₄	112	C28:7D4:1C2	448,266
C₂₈⋊₇D₄⋊₂C₂ = C₅₆⋊₂₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₇D₄	224	C28:7D4:2C2	448,649
C₂₈⋊₇D₄⋊₃C₂ = C₂³⋊₃D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₇D₄	112	C28:7D4:3C2	448,946
C₂₈⋊₇D₄⋊₄C₂ = C₂⁴.₃₀D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₇D₄	112	C28:7D4:4C2	448,947
C₂₈⋊₇D₄⋊₅C₂ = C₁₄.2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₇D₄	224	C28:7D4:5C2	448,963
C₂₈⋊₇D₄⋊₆C₂ = C₄².₁₀₄D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₇D₄	224	C28:7D4:6C2	448,993
C₂₈⋊₇D₄⋊₇C₂ = D₄×D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₇D₄	112	C28:7D4:7C2	448,1002
C₂₈⋊₇D₄⋊₈C₂ = Dic₁₄⋊₂₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₇D₄	224	C28:7D4:8C2	448,1005
C₂₈⋊₇D₄⋊₉C₂ = D₄⋊₅D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₇D₄	112	C28:7D4:9C2	448,1007
C₂₈⋊₇D₄⋊₁₀C₂ = D₄⋊₆D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₇D₄	224	C28:7D4:10C2	448,1008
C₂₈⋊₇D₄⋊₁₁C₂ = C₄²⋊₁₇D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₇D₄	112	C28:7D4:11C2	448,1013
C₂₈⋊₇D₄⋊₁₂C₂ = C₄².₁₁₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₇D₄	224	C28:7D4:12C2	448,1015
C₂₈⋊₇D₄⋊₁₃C₂ = C₄².₁₁₉D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₇D₄	224	C28:7D4:13C2	448,1018
C₂₈⋊₇D₄⋊₁₄C₂ = C₁₄.₆₈2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₇D₄	112	C28:7D4:14C2	448,1119
C₂₈⋊₇D₄⋊₁₅C₂ = C₁₄.₈₆2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₇D₄	224	C28:7D4:15C2	448,1120
C₂₈⋊₇D₄⋊₁₆C₂ = D₂₈⋊₁₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₇D₄	224	C28:7D4:16C2	448,268
C₂₈⋊₇D₄⋊₁₇C₂ = C₂⁴.₂₇D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₇D₄	112	C28:7D4:17C2	448,943
C₂₈⋊₇D₄⋊₁₈C₂ = D₂₈⋊₂₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₇D₄	112	C28:7D4:18C2	448,1003
C₂₈⋊₇D₄⋊₁₉C₂ = Dic₁₄⋊₂₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₇D₄	224	C28:7D4:19C2	448,1006
C₂₈⋊₇D₄⋊₂₀C₂ = C₄².₁₁₇D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₇D₄	224	C28:7D4:20C2	448,1016
C₂₈⋊₇D₄⋊₂₁C₂ = C₁₄.₆₁2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₇D₄	112	C28:7D4:21C2	448,1110
C₂₈⋊₇D₄⋊₂₂C₂ = C₁₄.₆₆2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₇D₄	224	C28:7D4:22C2	448,1116
C₂₈⋊₇D₄⋊₂₃C₂ = C₇⋊C₈⋊₂₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₇D₄	224	C28:7D4:23C2	448,572
C₂₈⋊₇D₄⋊₂₄C₂ = C₄⋊D₄⋊D₇	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₇D₄	224	C28:7D4:24C2	448,573
C₂₈⋊₇D₄⋊₂₅C₂ = (C₂×C₁₄)⋊₈D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₇D₄	112	C28:7D4:25C2	448,751
C₂₈⋊₇D₄⋊₂₆C₂ = (C₇×D₄)⋊₁₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₇D₄	224	C28:7D4:26C2	448,772
C₂₈⋊₇D₄⋊₂₇C₂ = C₁₄.2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₇D₄	224	C28:7D4:27C2	448,960
C₂₈⋊₇D₄⋊₂₈C₂ = C₁₄.₁₁2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₇D₄	224	C28:7D4:28C2	448,967
C₂₈⋊₇D₄⋊₂₉C₂ = C₄².₉₅D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₇D₄	224	C28:7D4:29C2	448,983
C₂₈⋊₇D₄⋊₃₀C₂ = C₄².₉₇D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₇D₄	224	C28:7D4:30C2	448,985
C₂₈⋊₇D₄⋊₃₁C₂ = C₂₈⋊(C₄○D₄)	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₇D₄	224	C28:7D4:31C2	448,1049
C₂₈⋊₇D₄⋊₃₂C₂ = D₇×C₄⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₇D₄	112	C28:7D4:32C2	448,1057
C₂₈⋊₇D₄⋊₃₃C₂ = C₁₄.₃₈2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₇D₄	112	C28:7D4:33C2	448,1060
C₂₈⋊₇D₄⋊₃₄C₂ = C₁₄.₄₇2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₇D₄	224	C28:7D4:34C2	448,1072
C₂₈⋊₇D₄⋊₃₅C₂ = C₄⋊C₄⋊₂₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₇D₄	112	C28:7D4:35C2	448,1080
C₂₈⋊₇D₄⋊₃₆C₂ = C₁₄.₁₇2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₇D₄	224	C28:7D4:36C2	448,1082
C₂₈⋊₇D₄⋊₃₇C₂ = D₄×C₇⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₇D₄	112	C28:7D4:37C2	448,1254
C₂₈⋊₇D₄⋊₃₈C₂ = C₁₄.₄₅2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₇D₄	224	C28:7D4:38C2	448,1270
C₂₈⋊₇D₄⋊₃₉C₂ = C₁₄.₁₄₅2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₇D₄	112	C28:7D4:39C2	448,1282
C₂₈⋊₇D₄⋊₄₀C₂ = C₁₄.₁₄₈2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₇D₄	224	C28:7D4:40C2	448,1287
C₂₈⋊₇D₄⋊₄₁C₂ = C₅₆⋊₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₇D₄	224	C28:7D4:41C2	448,669
C₂₈⋊₇D₄⋊₄₂C₂ = C₄².₁₀₀D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₇D₄	224	C28:7D4:42C2	448,988
C₂₈⋊₇D₄⋊₄₃C₂ = C₁₄.₆₈2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₇D₄	224	C28:7D4:43C2	448,1050
C₂₈⋊₇D₄⋊₄₄C₂ = C₁₄.₃₇2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₇D₄	112	C28:7D4:44C2	448,1058
C₂₈⋊₇D₄⋊₄₅C₂ = C₁₄.₄₈2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₇D₄	112	C28:7D4:45C2	448,1073
C₂₈⋊₇D₄⋊₄₆C₂ = C₁₄.₅₆2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₇D₄	112	C28:7D4:46C2	448,1097
C₂₈⋊₇D₄⋊₄₇C₂ = C₁₄.₂₆2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₇D₄	224	C28:7D4:47C2	448,1100
C₂₈⋊₇D₄⋊₄₈C₂ = C₁₄.₁₄₆2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₇D₄	112	C28:7D4:48C2	448,1283
C₂₈⋊₇D₄⋊₄₉C₂ = C₁₄.₁₀₈2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₇D₄	224	C28:7D4:49C2	448,1286
C₂₈⋊₇D₄⋊₅₀C₂ = C₄².₂₇₆D₁₄	φ: trivial image	224	C28:7D4:50C2	448,930
C₂₈⋊₇D₄⋊₅₁C₂ = C₂⁴.₇₂D₁₄	φ: trivial image	112	C28:7D4:51C2	448,1244

Non-split extensions G=N.Q with N=C₂₈⋊₇D₄ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
C₂₈⋊₇D₄.₁C₂ = C₂².₂D₅₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₇D₄	112	C28:7D4.1C2	448,27
C₂₈⋊₇D₄.₂C₂ = C₂³.₃₈D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₇D₄	224	C28:7D4.2C2	448,269
C₂₈⋊₇D₄.₃C₂ = C₂².D₅₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₇D₄	224	C28:7D4.3C2	448,270
C₂₈⋊₇D₄.₄C₂ = Dic₁₄⋊₁₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₇D₄	224	C28:7D4.4C2	448,272
C₂₈⋊₇D₄.₅C₂ = C₅₆⋊₃₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₇D₄	224	C28:7D4.5C2	448,648
C₂₈⋊₇D₄.₆C₂ = C₁₄.₆2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₇D₄	224	C28:7D4.6C2	448,968
C₂₈⋊₇D₄.₇C₂ = C₁₄.C₄≀C₂	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₇D₄	112	C28:7D4.7C2	448,8
C₂₈⋊₇D₄.₈C₂ = C₂³.₁₃D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₇D₄	224	C28:7D4.8C2	448,271
C₂₈⋊₇D₄.₉C₂ = (C₂×C₁₄).₄₀D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₇D₄	224	C28:7D4.9C2	448,501
C₂₈⋊₇D₄.₁₀C₂ = C₄⋊C₄.₂₂₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₇D₄	224	C28:7D4.10C2	448,502
C₂₈⋊₇D₄.₁₁C₂ = C₄⋊C₄.₂₃₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₇D₄	224	C28:7D4.11C2	448,537
C₂₈⋊₇D₄.₁₂C₂ = C₇⋊C₈⋊₂₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₇D₄	224	C28:7D4.12C2	448,582
C₂₈⋊₇D₄.₁₃C₂ = C₇⋊C₈⋊₆D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₇D₄	224	C28:7D4.13C2	448,583
C₂₈⋊₇D₄.₁₄C₂ = (C₇×Q₈)⋊₁₃D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₇D₄	224	C28:7D4.14C2	448,761
C₂₈⋊₇D₄.₁₅C₂ = C₂²⋊Q₈⋊₂₅D₇	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₇D₄	224	C28:7D4.15C2	448,1077
C₂₈⋊₇D₄.₁₆C₂ = C₁₄.₂₄2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₇D₄	224	C28:7D4.16C2	448,1096
C₂₈⋊₇D₄.₁₇C₂ = C₅₆⋊₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₇D₄	224	C28:7D4.17C2	448,668
C₂₈⋊₇D₄.₁₈C₂ = C₄².₉₉D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₇D₄	224	C28:7D4.18C2	448,987
C₂₈⋊₇D₄.₁₉C₂ = C₁₄.₅₇2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₇D₄	224	C28:7D4.19C2	448,1098
C₂₈⋊₇D₄.₂₀C₂ = C₄².₂₇₇D₁₄	φ: trivial image	224	C28:7D4.20C2	448,932

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Extensions 1→N→G→Q→1 with N=C28⋊7D4 and Q=C2

Extensions 1→N→G→Q→1 with N=C₂₈⋊₇D₄ and Q=C₂