Extensions 1→N→G→Q→1 with N=C₂²⋊Dic₁₄ and Q=C₂

Direct product G=N×Q with N=C₂²⋊Dic₁₄ and Q=C₂

		d	ρ	Label	ID
C₂×C₂²⋊Dic₁₄		224		C2xC2^2:Dic14	448,934

Semidirect products G=N:Q with N=C₂²⋊Dic₁₄ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
C₂²⋊Dic₁₄⋊₁C₂ = C₂³⋊₂Dic₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Dic₁₄	112	C2^2:Dic14:1C2	448,936
C₂²⋊Dic₁₄⋊₂C₂ = C₂⁴.₂₇D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Dic₁₄	112	C2^2:Dic14:2C2	448,943
C₂²⋊Dic₁₄⋊₃C₂ = C₂⁴.₃₁D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Dic₁₄	112	C2^2:Dic14:3C2	448,948
C₂²⋊Dic₁₄⋊₄C₂ = C₄²⋊₁₀D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Dic₁₄	112	C2^2:Dic14:4C2	448,980
C₂²⋊Dic₁₄⋊₅C₂ = C₄².₉₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Dic₁₄	224	C2^2:Dic14:5C2	448,984
C₂²⋊Dic₁₄⋊₆C₂ = D₄×Dic₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Dic₁₄	224	C2^2:Dic14:6C2	448,990
C₂²⋊Dic₁₄⋊₇C₂ = D₄⋊₅Dic₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Dic₁₄	224	C2^2:Dic14:7C2	448,992
C₂²⋊Dic₁₄⋊₈C₂ = D₄⋊₆Dic₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Dic₁₄	224	C2^2:Dic14:8C2	448,996
C₂²⋊Dic₁₄⋊₉C₂ = C₄²⋊₁₇D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Dic₁₄	112	C2^2:Dic14:9C2	448,1013
C₂²⋊Dic₁₄⋊₁₀C₂ = C₄².₁₁₈D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Dic₁₄	224	C2^2:Dic14:10C2	448,1017
C₂²⋊Dic₁₄⋊₁₁C₂ = C₂⁴.₅₆D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Dic₁₄	112	C2^2:Dic14:11C2	448,1039
C₂²⋊Dic₁₄⋊₁₂C₂ = C₂⁴.₃₂D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Dic₁₄	112	C2^2:Dic14:12C2	448,1040
C₂²⋊Dic₁₄⋊₁₃C₂ = C₂⁴.₃₃D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Dic₁₄	112	C2^2:Dic14:13C2	448,1044
C₂²⋊Dic₁₄⋊₁₄C₂ = C₂⁴.₃₅D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Dic₁₄	112	C2^2:Dic14:14C2	448,1046
C₂²⋊Dic₁₄⋊₁₅C₂ = C₁₄.₆₈2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Dic₁₄	224	C2^2:Dic14:15C2	448,1050
C₂²⋊Dic₁₄⋊₁₆C₂ = Dic₁₄⋊₁₉D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Dic₁₄	224	C2^2:Dic14:16C2	448,1051
C₂²⋊Dic₁₄⋊₁₇C₂ = C₁₄.₃₅2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Dic₁₄	224	C2^2:Dic14:17C2	448,1055
C₂²⋊Dic₁₄⋊₁₈C₂ = C₁₄.₇₁2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Dic₁₄	224	C2^2:Dic14:18C2	448,1056
C₂²⋊Dic₁₄⋊₁₉C₂ = C₁₄.₇₂2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Dic₁₄	224	C2^2:Dic14:19C2	448,1061
C₂²⋊Dic₁₄⋊₂₀C₂ = C₁₄.₇₃2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Dic₁₄	224	C2^2:Dic14:20C2	448,1064
C₂²⋊Dic₁₄⋊₂₁C₂ = C₁₄.₄₉2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Dic₁₄	224	C2^2:Dic14:21C2	448,1074
C₂²⋊Dic₁₄⋊₂₂C₂ = D₇×C₂²⋊Q₈	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Dic₁₄	112	C2^2:Dic14:22C2	448,1079
C₂²⋊Dic₁₄⋊₂₃C₂ = Dic₁₄⋊₂₁D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Dic₁₄	224	C2^2:Dic14:23C2	448,1085
C₂²⋊Dic₁₄⋊₂₄C₂ = C₁₄.₅₁2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Dic₁₄	112	C2^2:Dic14:24C2	448,1087
C₂²⋊Dic₁₄⋊₂₅C₂ = C₁₄.₁₁₈2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Dic₁₄	224	C2^2:Dic14:25C2	448,1088
C₂²⋊Dic₁₄⋊₂₆C₂ = C₁₄.₅₂2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Dic₁₄	224	C2^2:Dic14:26C2	448,1089
C₂²⋊Dic₁₄⋊₂₇C₂ = C₁₄.₇₉2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Dic₁₄	224	C2^2:Dic14:27C2	448,1101
C₂²⋊Dic₁₄⋊₂₈C₂ = C₄⋊C₄.₁₉₇D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Dic₁₄	224	C2^2:Dic14:28C2	448,1102
C₂²⋊Dic₁₄⋊₂₉C₂ = C₁₄.₈₀2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Dic₁₄	224	C2^2:Dic14:29C2	448,1103
C₂²⋊Dic₁₄⋊₃₀C₂ = C₁₄.₆₀2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Dic₁₄	224	C2^2:Dic14:30C2	448,1104
C₂²⋊Dic₁₄⋊₃₁C₂ = C₁₄.₈₂2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Dic₁₄	224	C2^2:Dic14:31C2	448,1108
C₂²⋊Dic₁₄⋊₃₂C₂ = C₁₄.₁₂₂2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Dic₁₄	112	C2^2:Dic14:32C2	448,1111
C₂²⋊Dic₁₄⋊₃₃C₂ = C₁₄.₈₃2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Dic₁₄	224	C2^2:Dic14:33C2	448,1113
C₂²⋊Dic₁₄⋊₃₄C₂ = C₁₄.₈₄2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Dic₁₄	224	C2^2:Dic14:34C2	448,1115
C₂²⋊Dic₁₄⋊₃₅C₂ = C₁₄.₈₅2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Dic₁₄	224	C2^2:Dic14:35C2	448,1118
C₂²⋊Dic₁₄⋊₃₆C₂ = C₁₄.₈₆2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Dic₁₄	224	C2^2:Dic14:36C2	448,1120
C₂²⋊Dic₁₄⋊₃₇C₂ = C₄².₁₃₇D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Dic₁₄	224	C2^2:Dic14:37C2	448,1122
C₂²⋊Dic₁₄⋊₃₈C₂ = C₄².₁₃₉D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Dic₁₄	224	C2^2:Dic14:38C2	448,1124
C₂²⋊Dic₁₄⋊₃₉C₂ = C₄².₁₄₀D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Dic₁₄	224	C2^2:Dic14:39C2	448,1125
C₂²⋊Dic₁₄⋊₄₀C₂ = C₄².₁₄₁D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Dic₁₄	224	C2^2:Dic14:40C2	448,1128
C₂²⋊Dic₁₄⋊₄₁C₂ = Dic₁₄⋊₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Dic₁₄	224	C2^2:Dic14:41C2	448,1130
C₂²⋊Dic₁₄⋊₄₂C₂ = C₄².₁₄₄D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Dic₁₄	224	C2^2:Dic14:42C2	448,1135
C₂²⋊Dic₁₄⋊₄₃C₂ = C₄².₁₄₅D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Dic₁₄	224	C2^2:Dic14:43C2	448,1137
C₂²⋊Dic₁₄⋊₄₄C₂ = C₄².₁₆₀D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Dic₁₄	224	C2^2:Dic14:44C2	448,1155
C₂²⋊Dic₁₄⋊₄₅C₂ = C₄².₁₆₁D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Dic₁₄	224	C2^2:Dic14:45C2	448,1160
C₂²⋊Dic₁₄⋊₄₆C₂ = C₄².₁₆₂D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Dic₁₄	224	C2^2:Dic14:46C2	448,1161
C₂²⋊Dic₁₄⋊₄₇C₂ = C₄².₁₆₄D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Dic₁₄	224	C2^2:Dic14:47C2	448,1163
C₂²⋊Dic₁₄⋊₄₈C₂ = C₄².₁₆₅D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Dic₁₄	224	C2^2:Dic14:48C2	448,1165
C₂²⋊Dic₁₄⋊₄₉C₂ = C₄².₁₀₂D₁₄	φ: trivial image	224	C2^2:Dic14:49C2	448,991
C₂²⋊Dic₁₄⋊₅₀C₂ = C₄²⋊₁₂D₁₄	φ: trivial image	112	C2^2:Dic14:50C2	448,1000

Non-split extensions G=N.Q with N=C₂²⋊Dic₁₄ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
C₂²⋊Dic₁₄.₁C₂ = C₄².₉₀D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Dic₁₄	224	C2^2:Dic14.1C2	448,972
C₂²⋊Dic₁₄.₂C₂ = (Q₈×Dic₇)⋊C₂	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Dic₁₄	224	C2^2:Dic14.2C2	448,1075
C₂²⋊Dic₁₄.₃C₂ = C₁₄.₇₅2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Dic₁₄	224	C2^2:Dic14.3C2	448,1076
C₂²⋊Dic₁₄.₄C₂ = C₄².₁₅₉D₁₄	φ: C₂/C₁ → C₂ ⊆ Out C₂²⋊Dic₁₄	224	C2^2:Dic14.4C2	448,1154
C₂²⋊Dic₁₄.₅C₂ = C₄².₈₈D₁₄	φ: trivial image	224	C2^2:Dic14.5C2	448,970

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Extensions 1→N→G→Q→1 with N=C22⋊Dic14 and Q=C2

Extensions 1→N→G→Q→1 with N=C₂²⋊Dic₁₄ and Q=C₂