Extensions 1→N→G→Q→1 with N=Dic₃⋊₄D₄ and Q=C₂

Direct product G=N×Q with N=Dic₃⋊₄D₄ and Q=C₂

		d	ρ	Label	ID
C₂×Dic₃⋊₄D₄		96		C2xDic3:4D4	192,1044

Semidirect products G=N:Q with N=Dic₃⋊₄D₄ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
Dic₃⋊₄D₄⋊₁C₂ = C₂⁴.₆₇D₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₃⋊₄D₄	48	Dic3:4D4:1C2	192,1145
Dic₃⋊₄D₄⋊₂C₂ = C₂⁴⋊₈D₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₃⋊₄D₄	48	Dic3:4D4:2C2	192,1149
Dic₃⋊₄D₄⋊₃C₂ = C₂⁴.₄₄D₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₃⋊₄D₄	48	Dic3:4D4:3C2	192,1150
Dic₃⋊₄D₄⋊₄C₂ = C₂⁴.₄₆D₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₃⋊₄D₄	48	Dic3:4D4:4C2	192,1152
Dic₃⋊₄D₄⋊₅C₂ = C₁₂⋊(C₄○D₄)	φ: C₂/C₁ → C₂ ⊆ Out Dic₃⋊₄D₄	96	Dic3:4D4:5C2	192,1155
Dic₃⋊₄D₄⋊₆C₂ = Dic₆⋊₂₀D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₃⋊₄D₄	96	Dic3:4D4:6C2	192,1158
Dic₃⋊₄D₄⋊₇C₂ = C₆.₃₄2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₃⋊₄D₄	96	Dic3:4D4:7C2	192,1160
Dic₃⋊₄D₄⋊₈C₂ = C₄⋊C₄⋊₂₁D₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₃⋊₄D₄	48	Dic3:4D4:8C2	192,1165
Dic₃⋊₄D₄⋊₉C₂ = C₆.₄₀2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₃⋊₄D₄	48	Dic3:4D4:9C2	192,1169
Dic₃⋊₄D₄⋊₁₀C₂ = C₆.₄₂2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₃⋊₄D₄	48	Dic3:4D4:10C2	192,1172
Dic₃⋊₄D₄⋊₁₁C₂ = C₆.₄₃2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₃⋊₄D₄	96	Dic3:4D4:11C2	192,1173
Dic₃⋊₄D₄⋊₁₂C₂ = C₆.₄₄2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₃⋊₄D₄	96	Dic3:4D4:12C2	192,1174
Dic₃⋊₄D₄⋊₁₃C₂ = C₄⋊C₄.₁₈₇D₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₃⋊₄D₄	96	Dic3:4D4:13C2	192,1183
Dic₃⋊₄D₄⋊₁₄C₂ = C₄⋊C₄⋊₂₆D₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₃⋊₄D₄	48	Dic3:4D4:14C2	192,1186
Dic₃⋊₄D₄⋊₁₅C₂ = C₆.₅₆2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₃⋊₄D₄	48	Dic3:4D4:15C2	192,1203
Dic₃⋊₄D₄⋊₁₆C₂ = C₆.₇₈2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₃⋊₄D₄	96	Dic3:4D4:16C2	192,1204
Dic₃⋊₄D₄⋊₁₇C₂ = C₄⋊C₄.₁₉₇D₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₃⋊₄D₄	96	Dic3:4D4:17C2	192,1208
Dic₃⋊₄D₄⋊₁₈C₂ = C₆.₁₂₁2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₃⋊₄D₄	48	Dic3:4D4:18C2	192,1213
Dic₃⋊₄D₄⋊₁₉C₂ = C₆.₈₂2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₃⋊₄D₄	96	Dic3:4D4:19C2	192,1214
Dic₃⋊₄D₄⋊₂₀C₂ = C₄⋊C₄⋊₂₈D₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₃⋊₄D₄	48	Dic3:4D4:20C2	192,1215
Dic₃⋊₄D₄⋊₂₁C₂ = C₆.₁₂₂2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₃⋊₄D₄	48	Dic3:4D4:21C2	192,1217
Dic₃⋊₄D₄⋊₂₂C₂ = C₆.₆₃2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₃⋊₄D₄	96	Dic3:4D4:22C2	192,1219
Dic₃⋊₄D₄⋊₂₃C₂ = C₆.₆₄2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₃⋊₄D₄	96	Dic3:4D4:23C2	192,1220
Dic₃⋊₄D₄⋊₂₄C₂ = C₆.₆₆2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₃⋊₄D₄	96	Dic3:4D4:24C2	192,1222
Dic₃⋊₄D₄⋊₂₅C₂ = C₆.₆₇2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₃⋊₄D₄	96	Dic3:4D4:25C2	192,1223
Dic₃⋊₄D₄⋊₂₆C₂ = C₆.₈₅2_-¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₃⋊₄D₄	96	Dic3:4D4:26C2	192,1224
Dic₃⋊₄D₄⋊₂₇C₂ = C₄².₂₃₃D₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₃⋊₄D₄	96	Dic3:4D4:27C2	192,1227
Dic₃⋊₄D₄⋊₂₈C₂ = C₄².₁₃₇D₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₃⋊₄D₄	96	Dic3:4D4:28C2	192,1228
Dic₃⋊₄D₄⋊₂₉C₂ = C₄².₁₃₈D₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₃⋊₄D₄	96	Dic3:4D4:29C2	192,1229
Dic₃⋊₄D₄⋊₃₀C₂ = Dic₆⋊₁₀D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₃⋊₄D₄	96	Dic3:4D4:30C2	192,1236
Dic₃⋊₄D₄⋊₃₁C₂ = C₄²⋊₂₂D₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₃⋊₄D₄	48	Dic3:4D4:31C2	192,1237
Dic₃⋊₄D₄⋊₃₂C₂ = C₄²⋊₂₃D₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₃⋊₄D₄	48	Dic3:4D4:32C2	192,1238
Dic₃⋊₄D₄⋊₃₃C₂ = C₄².₂₃₄D₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₃⋊₄D₄	96	Dic3:4D4:33C2	192,1239
Dic₃⋊₄D₄⋊₃₄C₂ = C₄².₁₄₃D₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₃⋊₄D₄	96	Dic3:4D4:34C2	192,1240
Dic₃⋊₄D₄⋊₃₅C₂ = C₄².₁₈₉D₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₃⋊₄D₄	96	Dic3:4D4:35C2	192,1265
Dic₃⋊₄D₄⋊₃₆C₂ = C₄².₁₆₁D₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₃⋊₄D₄	96	Dic3:4D4:36C2	192,1266
Dic₃⋊₄D₄⋊₃₇C₂ = C₄².₁₆₃D₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₃⋊₄D₄	96	Dic3:4D4:37C2	192,1268
Dic₃⋊₄D₄⋊₃₈C₂ = C₄².₁₆₄D₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₃⋊₄D₄	96	Dic3:4D4:38C2	192,1269
Dic₃⋊₄D₄⋊₃₉C₂ = C₂⁴.₃₅D₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₃⋊₄D₄	48	Dic3:4D4:39C2	192,1045
Dic₃⋊₄D₄⋊₄₀C₂ = C₂⁴.₃₈D₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₃⋊₄D₄	48	Dic3:4D4:40C2	192,1049
Dic₃⋊₄D₄⋊₄₁C₂ = C₂⁴.₄₂D₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₃⋊₄D₄	48	Dic3:4D4:41C2	192,1054
Dic₃⋊₄D₄⋊₄₂C₂ = C₄².₉₁D₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₃⋊₄D₄	96	Dic3:4D4:42C2	192,1082
Dic₃⋊₄D₄⋊₄₃C₂ = C₄²⋊₁₂D₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₃⋊₄D₄	48	Dic3:4D4:43C2	192,1086
Dic₃⋊₄D₄⋊₄₄C₂ = C₄².₁₀₄D₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₃⋊₄D₄	96	Dic3:4D4:44C2	192,1099
Dic₃⋊₄D₄⋊₄₅C₂ = C₄²⋊₁₃D₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₃⋊₄D₄	48	Dic3:4D4:45C2	192,1104
Dic₃⋊₄D₄⋊₄₆C₂ = C₄².₁₀₈D₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₃⋊₄D₄	96	Dic3:4D4:46C2	192,1105
Dic₃⋊₄D₄⋊₄₇C₂ = Dic₆⋊₂₃D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₃⋊₄D₄	96	Dic3:4D4:47C2	192,1111
Dic₃⋊₄D₄⋊₄₈C₂ = C₄².₁₁₉D₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₃⋊₄D₄	96	Dic3:4D4:48C2	192,1124
Dic₃⋊₄D₄⋊₄₉C₂ = C₄².₁₈₈D₆	φ: trivial image	96	Dic3:4D4:49C2	192,1081
Dic₃⋊₄D₄⋊₅₀C₂ = C₄×D₄⋊₂S₃	φ: trivial image	96	Dic3:4D4:50C2	192,1095
Dic₃⋊₄D₄⋊₅₁C₂ = C₄×S₃×D₄	φ: trivial image	48	Dic3:4D4:51C2	192,1103

Non-split extensions G=N.Q with N=Dic₃⋊₄D₄ and Q=C₂

extension	φ:Q→Out N	d	Label	ID
Dic₃⋊₄D₄.₁C₂ = Dic₆⋊₂₁D₄	φ: C₂/C₁ → C₂ ⊆ Out Dic₃⋊₄D₄	96	Dic3:4D4.1C2	192,1191
Dic₃⋊₄D₄.₂C₂ = C₆.₁₁₈2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₃⋊₄D₄	96	Dic3:4D4.2C2	192,1194
Dic₃⋊₄D₄.₃C₂ = C₆.₅₂2₊¹⁺⁴	φ: C₂/C₁ → C₂ ⊆ Out Dic₃⋊₄D₄	96	Dic3:4D4.3C2	192,1195
Dic₃⋊₄D₄.₄C₂ = C₄².₁₆₀D₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₃⋊₄D₄	96	Dic3:4D4.4C2	192,1261
Dic₃⋊₄D₄.₅C₂ = C₄².₁₆₂D₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₃⋊₄D₄	96	Dic3:4D4.5C2	192,1267
Dic₃⋊₄D₄.₆C₂ = C₄².₉₆D₆	φ: C₂/C₁ → C₂ ⊆ Out Dic₃⋊₄D₄	96	Dic3:4D4.6C2	192,1090

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Extensions 1→N→G→Q→1 with N=Dic3⋊4D4 and Q=C2

Extensions 1→N→G→Q→1 with N=Dic₃⋊₄D₄ and Q=C₂