Extensions 1→N→G→Q→1 with N=D₁₄⋊Q₈ and Q=C₂

Direct product G=N×Q with N=D₁₄⋊Q₈ and Q=C₂

		d	ρ	Label	ID
C₂×D₁₄⋊Q₈		224		C2xD14:Q8	448,961

Semidirect products G=N:Q with N=D₁₄⋊Q₈ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
D₁₄⋊Q₈⋊₁C₂ = C₁₄.2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₁₄⋊Q₈	224	D14:Q8:1C2	448,960
D₁₄⋊Q₈⋊₂C₂ = C₁₄.₁₀2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₁₄⋊Q₈	224	D14:Q8:2C2	448,964
D₁₄⋊Q₈⋊₃C₂ = C₁₄.₆2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₁₄⋊Q₈	224	D14:Q8:3C2	448,968
D₁₄⋊Q₈⋊₄C₂ = C₄²⋊₁₀D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₄⋊Q₈	112	D14:Q8:4C2	448,980
D₁₄⋊Q₈⋊₅C₂ = C₄².₉₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₄⋊Q₈	224	D14:Q8:5C2	448,984
D₁₄⋊Q₈⋊₆C₂ = C₄².₉₉D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₄⋊Q₈	224	D14:Q8:6C2	448,987
D₁₄⋊Q₈⋊₇C₂ = Dic₁₄⋊₂₃D₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₄⋊Q₈	224	D14:Q8:7C2	448,1005
D₁₄⋊Q₈⋊₈C₂ = C₄²⋊₁₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₄⋊Q₈	112	D14:Q8:8C2	448,1009
D₁₄⋊Q₈⋊₉C₂ = C₄².₁₁₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₄⋊Q₈	224	D14:Q8:9C2	448,1017
D₁₄⋊Q₈⋊₁₀C₂ = C₄².₁₂₂D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₄⋊Q₈	224	D14:Q8:10C2	448,1021
D₁₄⋊Q₈⋊₁₁C₂ = D₂₈⋊₁₀Q₈	φ: C₂/C₁ → C₂ ⊆ Out D₁₄⋊Q₈	224	D14:Q8:11C2	448,1032
D₁₄⋊Q₈⋊₁₂C₂ = C₄².₁₃₃D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₄⋊Q₈	224	D14:Q8:12C2	448,1035
D₁₄⋊Q₈⋊₁₃C₂ = C₁₄.₆₈2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₁₄⋊Q₈	224	D14:Q8:13C2	448,1050
D₁₄⋊Q₈⋊₁₄C₂ = C₁₄.₄₀2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₁₄⋊Q₈	112	D14:Q8:14C2	448,1063
D₁₄⋊Q₈⋊₁₅C₂ = C₁₄.₄₂2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₁₄⋊Q₈	112	D14:Q8:15C2	448,1066
D₁₄⋊Q₈⋊₁₆C₂ = C₁₄.₄₉2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₁₄⋊Q₈	224	D14:Q8:16C2	448,1074
D₁₄⋊Q₈⋊₁₇C₂ = D₇×C₂²⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out D₁₄⋊Q₈	112	D14:Q8:17C2	448,1079
D₁₄⋊Q₈⋊₁₈C₂ = C₁₄.₁₇2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₁₄⋊Q₈	224	D14:Q8:18C2	448,1082
D₁₄⋊Q₈⋊₁₉C₂ = Dic₁₄⋊₂₁D₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₄⋊Q₈	224	D14:Q8:19C2	448,1085
D₁₄⋊Q₈⋊₂₀C₂ = Dic₁₄⋊₂₂D₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₄⋊Q₈	224	D14:Q8:20C2	448,1086
D₁₄⋊Q₈⋊₂₁C₂ = C₁₄.₅₁2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₁₄⋊Q₈	112	D14:Q8:21C2	448,1087
D₁₄⋊Q₈⋊₂₂C₂ = C₁₄.₅₂2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₁₄⋊Q₈	224	D14:Q8:22C2	448,1089
D₁₄⋊Q₈⋊₂₃C₂ = C₁₄.₂₂2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₁₄⋊Q₈	224	D14:Q8:23C2	448,1093
D₁₄⋊Q₈⋊₂₄C₂ = C₁₄.₅₈2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₁₄⋊Q₈	224	D14:Q8:24C2	448,1099
D₁₄⋊Q₈⋊₂₅C₂ = C₁₄.₂₆2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₁₄⋊Q₈	224	D14:Q8:25C2	448,1100
D₁₄⋊Q₈⋊₂₆C₂ = C₁₄.₇₉2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₁₄⋊Q₈	224	D14:Q8:26C2	448,1101
D₁₄⋊Q₈⋊₂₇C₂ = C₁₄.₁₂₁2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₁₄⋊Q₈	112	D14:Q8:27C2	448,1107
D₁₄⋊Q₈⋊₂₈C₂ = C₁₄.₈₂2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₁₄⋊Q₈	224	D14:Q8:28C2	448,1108
D₁₄⋊Q₈⋊₂₉C₂ = C₄⋊C₄⋊₂₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₄⋊Q₈	112	D14:Q8:29C2	448,1109
D₁₄⋊Q₈⋊₃₀C₂ = C₁₄.₆₂2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₁₄⋊Q₈	112	D14:Q8:30C2	448,1112
D₁₄⋊Q₈⋊₃₁C₂ = C₁₄.₈₃2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₁₄⋊Q₈	224	D14:Q8:31C2	448,1113
D₁₄⋊Q₈⋊₃₂C₂ = C₁₄.₈₄2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₁₄⋊Q₈	224	D14:Q8:32C2	448,1115
D₁₄⋊Q₈⋊₃₃C₂ = C₁₄.₈₆2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out D₁₄⋊Q₈	224	D14:Q8:33C2	448,1120
D₁₄⋊Q₈⋊₃₄C₂ = D₂₈⋊₇Q₈	φ: C₂/C₁ → C₂ ⊆ Out D₁₄⋊Q₈	224	D14:Q8:34C2	448,1143
D₁₄⋊Q₈⋊₃₅C₂ = C₄².₁₅₀D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₄⋊Q₈	224	D14:Q8:35C2	448,1145
D₁₄⋊Q₈⋊₃₆C₂ = C₄².₁₅₁D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₄⋊Q₈	224	D14:Q8:36C2	448,1146
D₁₄⋊Q₈⋊₃₇C₂ = C₄².₁₅₇D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₄⋊Q₈	224	D14:Q8:37C2	448,1152
D₁₄⋊Q₈⋊₃₈C₂ = C₄².₁₅₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₄⋊Q₈	224	D14:Q8:38C2	448,1153
D₁₄⋊Q₈⋊₃₉C₂ = C₄².₁₆₀D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₄⋊Q₈	224	D14:Q8:39C2	448,1155
D₁₄⋊Q₈⋊₄₀C₂ = C₄²⋊₂₃D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₄⋊Q₈	112	D14:Q8:40C2	448,1157
D₁₄⋊Q₈⋊₄₁C₂ = C₄²⋊₂₄D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₄⋊Q₈	112	D14:Q8:41C2	448,1158
D₁₄⋊Q₈⋊₄₂C₂ = C₄².₁₈₉D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₄⋊Q₈	224	D14:Q8:42C2	448,1159
D₁₄⋊Q₈⋊₄₃C₂ = C₄².₁₆₁D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₄⋊Q₈	224	D14:Q8:43C2	448,1160
D₁₄⋊Q₈⋊₄₄C₂ = C₄².₁₆₂D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₄⋊Q₈	224	D14:Q8:44C2	448,1161
D₁₄⋊Q₈⋊₄₅C₂ = C₄².₁₆₄D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₄⋊Q₈	224	D14:Q8:45C2	448,1163
D₁₄⋊Q₈⋊₄₆C₂ = C₄².₁₆₅D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₄⋊Q₈	224	D14:Q8:46C2	448,1165
D₁₄⋊Q₈⋊₄₇C₂ = C₄².₁₇₁D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₄⋊Q₈	224	D14:Q8:47C2	448,1177
D₁₄⋊Q₈⋊₄₈C₂ = D₂₈⋊₈Q₈	φ: C₂/C₁ → C₂ ⊆ Out D₁₄⋊Q₈	224	D14:Q8:48C2	448,1180
D₁₄⋊Q₈⋊₄₉C₂ = C₄².₁₈₀D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₄⋊Q₈	224	D14:Q8:49C2	448,1188
D₁₄⋊Q₈⋊₅₀C₂ = C₄².₉₃D₁₄	φ: trivial image	224	D14:Q8:50C2	448,981
D₁₄⋊Q₈⋊₅₁C₂ = C₄²⋊₁₂D₁₄	φ: trivial image	112	D14:Q8:51C2	448,1000

Non-split extensions G=N.Q with N=D₁₄⋊Q₈ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
D₁₄⋊Q₈.₁C₂ = C₄².₂₃₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₄⋊Q₈	224	D14:Q8.1C2	448,1141
D₁₄⋊Q₈.₂C₂ = C₄².₁₄₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₄⋊Q₈	224	D14:Q8.2C2	448,1142
D₁₄⋊Q₈.₃C₂ = C₄².₁₅₄D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₄⋊Q₈	224	D14:Q8.3C2	448,1149
D₁₄⋊Q₈.₄C₂ = C₄².₁₇₄D₁₄	φ: C₂/C₁ → C₂ ⊆ Out D₁₄⋊Q₈	224	D14:Q8.4C2	448,1182
D₁₄⋊Q₈.₅C₂ = C₄².₂₃₂D₁₄	φ: trivial image	224	D14:Q8.5C2	448,1031

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Extensions 1→N→G→Q→1 with N=D14⋊Q8 and Q=C2

Extensions 1→N→G→Q→1 with N=D₁₄⋊Q₈ and Q=C₂