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

Direct product G=N×Q with N=C₂₈⋊₁D₄ and Q=C₂

		d	ρ	Label	ID
C₂×C₂₈⋊₁D₄		224		C2xC28:1D4	448,959

Semidirect products G=N:Q with N=C₂₈⋊₁D₄ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
C₂₈⋊₁D₄⋊₁C₂ = D₄⋊D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₁D₄	112	C28:1D4:1C2	448,307
C₂₈⋊₁D₄⋊₂C₂ = D₁₄⋊D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₁D₄	224	C28:1D4:2C2	448,309
C₂₈⋊₁D₄⋊₃C₂ = D₄⋊₃D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₁D₄	224	C28:1D4:3C2	448,315
C₂₈⋊₁D₄⋊₄C₂ = C₇⋊C₈⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₁D₄	224	C28:1D4:4C2	448,316
C₂₈⋊₁D₄⋊₅C₂ = D₂₈⋊₄D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₁D₄	224	C28:1D4:5C2	448,345
C₂₈⋊₁D₄⋊₆C₂ = C₅₆⋊₇D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₁D₄	224	C28:1D4:6C2	448,399
C₂₈⋊₁D₄⋊₇C₂ = C₈⋊₇D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₁D₄	224	C28:1D4:7C2	448,417
C₂₈⋊₁D₄⋊₈C₂ = C₁₄.2_-⁽¹⁺⁴⁾	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₁D₄	224	C28:1D4:8C2	448,960
C₂₈⋊₁D₄⋊₉C₂ = C₁₄.2₊⁽¹⁺⁴⁾	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₁D₄	224	C28:1D4:9C2	448,963
C₂₈⋊₁D₄⋊₁₀C₂ = C₁₄.₁₁2₊⁽¹⁺⁴⁾	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₁D₄	224	C28:1D4:10C2	448,967
C₂₈⋊₁D₄⋊₁₁C₂ = C₄²⋊₉D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₁D₄	112	C28:1D4:11C2	448,978
C₂₈⋊₁D₄⋊₁₂C₂ = C₄².₉₅D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₁D₄	224	C28:1D4:12C2	448,983
C₂₈⋊₁D₄⋊₁₃C₂ = C₄².₉₇D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₁D₄	224	C28:1D4:13C2	448,985
C₂₈⋊₁D₄⋊₁₄C₂ = D₄×D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₁D₄	112	C28:1D4:14C2	448,1002
C₂₈⋊₁D₄⋊₁₅C₂ = D₄⋊₅D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₁D₄	112	C28:1D4:15C2	448,1007
C₂₈⋊₁D₄⋊₁₆C₂ = C₄².₁₁₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₁D₄	224	C28:1D4:16C2	448,1015
C₂₈⋊₁D₄⋊₁₇C₂ = Q₈⋊₅D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₁D₄	224	C28:1D4:17C2	448,1029
C₂₈⋊₁D₄⋊₁₈C₂ = Q₈⋊₆D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₁D₄	224	C28:1D4:18C2	448,1030
C₂₈⋊₁D₄⋊₁₉C₂ = Dic₁₄⋊₂₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₁D₄	224	C28:1D4:19C2	448,1052
C₂₈⋊₁D₄⋊₂₀C₂ = D₇×C₄⋊D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₁D₄	112	C28:1D4:20C2	448,1057
C₂₈⋊₁D₄⋊₂₁C₂ = C₁₄.₃₈2₊⁽¹⁺⁴⁾	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₁D₄	112	C28:1D4:21C2	448,1060
C₂₈⋊₁D₄⋊₂₂C₂ = D₂₈⋊₁₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₁D₄	112	C28:1D4:22C2	448,1062
C₂₈⋊₁D₄⋊₂₃C₂ = C₄⋊C₄⋊₂₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₁D₄	112	C28:1D4:23C2	448,1080
C₂₈⋊₁D₄⋊₂₄C₂ = C₁₄.₁₇2_-⁽¹⁺⁴⁾	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₁D₄	224	C28:1D4:24C2	448,1082
C₂₈⋊₁D₄⋊₂₅C₂ = D₂₈⋊₂₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₁D₄	112	C28:1D4:25C2	448,1083
C₂₈⋊₁D₄⋊₂₆C₂ = Dic₁₄⋊₂₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₁D₄	224	C28:1D4:26C2	448,1086
C₂₈⋊₁D₄⋊₂₇C₂ = C₁₄.₅₆2₊⁽¹⁺⁴⁾	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₁D₄	112	C28:1D4:27C2	448,1097
C₂₈⋊₁D₄⋊₂₈C₂ = C₁₄.₂₆2_-⁽¹⁺⁴⁾	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₁D₄	224	C28:1D4:28C2	448,1100
C₂₈⋊₁D₄⋊₂₉C₂ = C₁₄.₁₂₀2₊⁽¹⁺⁴⁾	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₁D₄	112	C28:1D4:29C2	448,1106
C₂₈⋊₁D₄⋊₃₀C₂ = C₁₄.₁₂₁2₊⁽¹⁺⁴⁾	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₁D₄	112	C28:1D4:30C2	448,1107
C₂₈⋊₁D₄⋊₃₁C₂ = C₁₄.₆₆2₊⁽¹⁺⁴⁾	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₁D₄	224	C28:1D4:31C2	448,1116
C₂₈⋊₁D₄⋊₃₂C₂ = C₁₄.₆₈2₊⁽¹⁺⁴⁾	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₁D₄	112	C28:1D4:32C2	448,1119
C₂₈⋊₁D₄⋊₃₃C₂ = C₄².₁₅₃D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₁D₄	224	C28:1D4:33C2	448,1148
C₂₈⋊₁D₄⋊₃₄C₂ = C₄².₁₅₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₁D₄	224	C28:1D4:34C2	448,1151
C₂₈⋊₁D₄⋊₃₅C₂ = C₄².₁₅₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₁D₄	224	C28:1D4:35C2	448,1153
C₂₈⋊₁D₄⋊₃₆C₂ = C₄²⋊₂₃D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₁D₄	112	C28:1D4:36C2	448,1157
C₂₈⋊₁D₄⋊₃₇C₂ = C₄².₁₆₃D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₁D₄	224	C28:1D4:37C2	448,1162
C₂₈⋊₁D₄⋊₃₈C₂ = C₄²⋊₂₅D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₁D₄	112	C28:1D4:38C2	448,1164
C₂₈⋊₁D₄⋊₃₉C₂ = C₄².₂₄₀D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₁D₄	224	C28:1D4:39C2	448,1178
C₂₈⋊₁D₄⋊₄₀C₂ = D₂₈⋊₁₂D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₁D₄	224	C28:1D4:40C2	448,1179
C₂₈⋊₁D₄⋊₄₁C₂ = C₄².₁₇₉D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₁D₄	224	C28:1D4:41C2	448,1187
C₂₈⋊₁D₄⋊₄₂C₂ = C₄²⋊₈D₁₄	φ: trivial image	112	C28:1D4:42C2	448,977
C₂₈⋊₁D₄⋊₄₃C₂ = C₄².₂₂₈D₁₄	φ: trivial image	224	C28:1D4:43C2	448,1001

Non-split extensions G=N.Q with N=C₂₈⋊₁D₄ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
C₂₈⋊₁D₄.₁C₂ = Q₈⋊₂D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₁D₄	224	C28:1D4.1C2	448,340
C₂₈⋊₁D₄.₂C₂ = D₁₄⋊₂SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₁D₄	224	C28:1D4.2C2	448,341
C₂₈⋊₁D₄.₃C₂ = C₇⋊(C₈⋊D₄)	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₁D₄	224	C28:1D4.3C2	448,346
C₂₈⋊₁D₄.₄C₂ = D₁₄.₄SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₁D₄	224	C28:1D4.4C2	448,397
C₂₈⋊₁D₄.₅C₂ = C₈⋊₈D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₁D₄	224	C28:1D4.5C2	448,398
C₂₈⋊₁D₄.₆C₂ = C₄.Q₈⋊D₇	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₁D₄	224	C28:1D4.6C2	448,400
C₂₈⋊₁D₄.₇C₂ = D₁₄.₅D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₁D₄	224	C28:1D4.7C2	448,416
C₂₈⋊₁D₄.₈C₂ = C₂.D₈⋊D₇	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₁D₄	224	C28:1D4.8C2	448,419
C₂₈⋊₁D₄.₉C₂ = C₈⋊₃D₂₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₁D₄	224	C28:1D4.9C2	448,420
C₂₈⋊₁D₄.₁₀C₂ = C₄².₁₃₃D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₁D₄	224	C28:1D4.10C2	448,1035
C₂₈⋊₁D₄.₁₁C₂ = C₄².₂₃₇D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₁D₄	224	C28:1D4.11C2	448,1144
C₂₈⋊₁D₄.₁₂C₂ = C₄².₁₅₀D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₁D₄	224	C28:1D4.12C2	448,1145
C₂₈⋊₁D₄.₁₃C₂ = C₄².₁₇₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊₁D₄	224	C28:1D4.13C2	448,1186
C₂₈⋊₁D₄.₁₄C₂ = C₄².₁₃₁D₁₄	φ: trivial image	224	C28:1D4.14C2	448,1033

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

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