Extensions 1→N→G→Q→1 with N=C₂₈⋊Q₈ and Q=C₂

Direct product G=N×Q with N=C₂₈⋊Q₈ and Q=C₂

		d	ρ	Label	ID
C₂×C₂₈⋊Q₈		448		C2xC28:Q8	448,950

Semidirect products G=N:Q with N=C₂₈⋊Q₈ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
C₂₈⋊Q₈⋊₁C₂ = Dic₇.D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊Q₈	224	C28:Q8:1C2	448,293
C₂₈⋊Q₈⋊₂C₂ = Dic₇.SD₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊Q₈	224	C28:Q8:2C2	448,294
C₂₈⋊Q₈⋊₃C₂ = D₄⋊Dic₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊Q₈	224	C28:Q8:3C2	448,295
C₂₈⋊Q₈⋊₄C₂ = C₂₈⋊Q₈⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊Q₈	224	C28:Q8:4C2	448,299
C₂₈⋊Q₈⋊₅C₂ = Q₈⋊C₄⋊D₇	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊Q₈	224	C28:Q8:5C2	448,329
C₂₈⋊Q₈⋊₆C₂ = D₂₈⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊Q₈	224	C28:Q8:6C2	448,404
C₂₈⋊Q₈⋊₇C₂ = D₂₈⋊₂Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊Q₈	224	C28:Q8:7C2	448,424
C₂₈⋊Q₈⋊₈C₂ = C₁₄.₇2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊Q₈	224	C28:Q8:8C2	448,953
C₂₈⋊Q₈⋊₉C₂ = C₁₄.2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊Q₈	224	C28:Q8:9C2	448,960
C₂₈⋊Q₈⋊₁₀C₂ = C₁₄.₁₀2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊Q₈	224	C28:Q8:10C2	448,964
C₂₈⋊Q₈⋊₁₁C₂ = C₄².₉₀D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊Q₈	224	C28:Q8:11C2	448,972
C₂₈⋊Q₈⋊₁₂C₂ = C₄².₉₇D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊Q₈	224	C28:Q8:12C2	448,985
C₂₈⋊Q₈⋊₁₃C₂ = C₄².₉₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊Q₈	224	C28:Q8:13C2	448,986
C₂₈⋊Q₈⋊₁₄C₂ = D₄×Dic₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊Q₈	224	C28:Q8:14C2	448,990
C₂₈⋊Q₈⋊₁₅C₂ = D₄⋊₅Dic₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊Q₈	224	C28:Q8:15C2	448,992
C₂₈⋊Q₈⋊₁₆C₂ = C₄².₁₁₅D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊Q₈	224	C28:Q8:16C2	448,1014
C₂₈⋊Q₈⋊₁₇C₂ = C₄².₁₃₃D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊Q₈	224	C28:Q8:17C2	448,1035
C₂₈⋊Q₈⋊₁₈C₂ = C₂₈⋊(C₄○D₄)	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊Q₈	224	C28:Q8:18C2	448,1049
C₂₈⋊Q₈⋊₁₉C₂ = C₁₄.₇₁2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊Q₈	224	C28:Q8:19C2	448,1056
C₂₈⋊Q₈⋊₂₀C₂ = C₁₄.₇₃2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊Q₈	224	C28:Q8:20C2	448,1064
C₂₈⋊Q₈⋊₂₁C₂ = C₁₄.₄₅2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊Q₈	224	C28:Q8:21C2	448,1069
C₂₈⋊Q₈⋊₂₂C₂ = (Q₈×Dic₇)⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊Q₈	224	C28:Q8:22C2	448,1075
C₂₈⋊Q₈⋊₂₃C₂ = C₁₄.₇₅2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊Q₈	224	C28:Q8:23C2	448,1076
C₂₈⋊Q₈⋊₂₄C₂ = C₁₄.₁₆2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊Q₈	224	C28:Q8:24C2	448,1081
C₂₈⋊Q₈⋊₂₅C₂ = Dic₁₄⋊₂₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊Q₈	224	C28:Q8:25C2	448,1085
C₂₈⋊Q₈⋊₂₆C₂ = C₁₄.₁₁₈2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊Q₈	224	C28:Q8:26C2	448,1088
C₂₈⋊Q₈⋊₂₇C₂ = C₁₄.₂₃2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊Q₈	224	C28:Q8:27C2	448,1094
C₂₈⋊Q₈⋊₂₈C₂ = C₁₄.₂₄2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊Q₈	224	C28:Q8:28C2	448,1096
C₂₈⋊Q₈⋊₂₉C₂ = C₁₄.₅₈2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊Q₈	224	C28:Q8:29C2	448,1099
C₂₈⋊Q₈⋊₃₀C₂ = C₁₄.₇₉2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊Q₈	224	C28:Q8:30C2	448,1101
C₂₈⋊Q₈⋊₃₁C₂ = C₁₄.₆₀2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊Q₈	224	C28:Q8:31C2	448,1104
C₂₈⋊Q₈⋊₃₂C₂ = C₁₄.₈₂2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊Q₈	224	C28:Q8:32C2	448,1108
C₂₈⋊Q₈⋊₃₃C₂ = C₁₄.₈₄2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊Q₈	224	C28:Q8:33C2	448,1115
C₂₈⋊Q₈⋊₃₄C₂ = C₄².₂₃₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊Q₈	224	C28:Q8:34C2	448,1141
C₂₈⋊Q₈⋊₃₅C₂ = C₄².₁₄₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊Q₈	224	C28:Q8:35C2	448,1142
C₂₈⋊Q₈⋊₃₆C₂ = D₂₈⋊₇Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊Q₈	224	C28:Q8:36C2	448,1143
C₂₈⋊Q₈⋊₃₇C₂ = C₄².₁₅₄D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊Q₈	224	C28:Q8:37C2	448,1149
C₂₈⋊Q₈⋊₃₈C₂ = C₄².₁₅₇D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊Q₈	224	C28:Q8:38C2	448,1152
C₂₈⋊Q₈⋊₃₉C₂ = C₄².₁₅₉D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊Q₈	224	C28:Q8:39C2	448,1154
C₂₈⋊Q₈⋊₄₀C₂ = C₄².₁₆₀D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊Q₈	224	C28:Q8:40C2	448,1155
C₂₈⋊Q₈⋊₄₁C₂ = C₄².₁₆₄D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊Q₈	224	C28:Q8:41C2	448,1163
C₂₈⋊Q₈⋊₄₂C₂ = C₄².₁₆₅D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊Q₈	224	C28:Q8:42C2	448,1165
C₂₈⋊Q₈⋊₄₃C₂ = D₇×C₄⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊Q₈	224	C28:Q8:43C2	448,1176
C₂₈⋊Q₈⋊₄₄C₂ = D₂₈⋊₈Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊Q₈	224	C28:Q8:44C2	448,1180
C₂₈⋊Q₈⋊₄₅C₂ = C₄².₁₇₄D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊Q₈	224	C28:Q8:45C2	448,1182
C₂₈⋊Q₈⋊₄₆C₂ = C₄².₈₈D₁₄	φ: trivial image	224	C28:Q8:46C2	448,970
C₂₈⋊Q₈⋊₄₇C₂ = C₄².₂₂₈D₁₄	φ: trivial image	224	C28:Q8:47C2	448,1001
C₂₈⋊Q₈⋊₄₈C₂ = C₄².₂₃₂D₁₄	φ: trivial image	224	C28:Q8:48C2	448,1031

Non-split extensions G=N.Q with N=C₂₈⋊Q₈ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
C₂₈⋊Q₈.₁C₂ = Q₈⋊Dic₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊Q₈	448	C28:Q8.1C2	448,325
C₂₈⋊Q₈.₂C₂ = Dic₇.₁Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊Q₈	448	C28:Q8.2C2	448,326
C₂₈⋊Q₈.₃C₂ = Dic₇.Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊Q₈	448	C28:Q8.3C2	448,328
C₂₈⋊Q₈.₄C₂ = Dic₁₄⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊Q₈	448	C28:Q8.4C2	448,388
C₂₈⋊Q₈.₅C₂ = C₅₆⋊₅Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊Q₈	448	C28:Q8.5C2	448,389
C₂₈⋊Q₈.₆C₂ = C₅₆⋊₃Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊Q₈	448	C28:Q8.6C2	448,390
C₂₈⋊Q₈.₇C₂ = C₅₆⋊₂Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊Q₈	448	C28:Q8.7C2	448,408
C₂₈⋊Q₈.₈C₂ = Dic₁₄⋊₂Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊Q₈	448	C28:Q8.8C2	448,409
C₂₈⋊Q₈.₉C₂ = C₅₆⋊₄Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊Q₈	448	C28:Q8.9C2	448,410
C₂₈⋊Q₈.₁₀C₂ = Q₈×Dic₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊Q₈	448	C28:Q8.10C2	448,1019
C₂₈⋊Q₈.₁₁C₂ = Q₈⋊₅Dic₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊Q₈	448	C28:Q8.11C2	448,1022
C₂₈⋊Q₈.₁₂C₂ = Dic₁₄⋊₇Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊Q₈	448	C28:Q8.12C2	448,1138
C₂₈⋊Q₈.₁₃C₂ = Dic₁₄⋊₉Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₈⋊Q₈	448	C28:Q8.13C2	448,1175

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C28⋊Q8 and Q=C2

Extensions 1→N→G→Q→1 with N=C₂₈⋊Q₈ and Q=C₂