Extensions 1→N→G→Q→1 with N=C₆ and Q=2₊¹⁺⁴

Direct product G=N×Q with N=C₆ and Q=2₊¹⁺⁴

		d	ρ	Label	ID
C₆×2₊¹⁺⁴		48		C6xES+(2,2)	192,1534

Semidirect products G=N:Q with N=C₆ and Q=2₊¹⁺⁴

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊₁2₊¹⁺⁴ = C₂×D₄⋊₆D₆	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	48		C6:1ES+(2,2)	192,1516
C₆⋊₂2₊¹⁺⁴ = C₂×D₄○D₁₂	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₆	48		C6:2ES+(2,2)	192,1521

Non-split extensions G=N.Q with N=C₆ and Q=2₊¹⁺⁴

extension	φ:Q→Aut N	d	Label	ID
C₆.₁2₊¹⁺⁴ = C₂³⋊₃Dic₆	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	48	C6.1ES+(2,2)	192,1042
C₆.₂2₊¹⁺⁴ = C₂⁴.₃₅D₆	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	48	C6.2ES+(2,2)	192,1045
C₆.₃2₊¹⁺⁴ = C₂⁴.₃₈D₆	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	48	C6.3ES+(2,2)	192,1049
C₆.₄2₊¹⁺⁴ = C₂³⋊₄D₁₂	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	48	C6.4ES+(2,2)	192,1052
C₆.₅2₊¹⁺⁴ = C₂⁴.₄₁D₆	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	48	C6.5ES+(2,2)	192,1053
C₆.₆2₊¹⁺⁴ = C₂⁴.₄₂D₆	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	48	C6.6ES+(2,2)	192,1054
C₆.₇2₊¹⁺⁴ = C₆.₇2₊¹⁺⁴	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	96	C6.7ES+(2,2)	192,1059
C₆.₈2₊¹⁺⁴ = C₆.₈2₊¹⁺⁴	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	96	C6.8ES+(2,2)	192,1063
C₆.₉2₊¹⁺⁴ = C₆.2₊¹⁺⁴	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	96	C6.9ES+(2,2)	192,1069
C₆.₁₀2₊¹⁺⁴ = C₆.₁₀2₊¹⁺⁴	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	96	C6.10ES+(2,2)	192,1070
C₆.₁₁2₊¹⁺⁴ = C₆.₁₁2₊¹⁺⁴	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	96	C6.11ES+(2,2)	192,1073
C₆.₁₂2₊¹⁺⁴ = C₆.₆2_-¹⁺⁴	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	96	C6.12ES+(2,2)	192,1074
C₆.₁₃2₊¹⁺⁴ = D₄⋊₅Dic₆	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	96	C6.13ES+(2,2)	192,1098
C₆.₁₄2₊¹⁺⁴ = C₄².₁₀₄D₆	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	96	C6.14ES+(2,2)	192,1099
C₆.₁₅2₊¹⁺⁴ = C₄²⋊₁₃D₆	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	48	C6.15ES+(2,2)	192,1104
C₆.₁₆2₊¹⁺⁴ = C₄².₁₀₈D₆	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	96	C6.16ES+(2,2)	192,1105
C₆.₁₇2₊¹⁺⁴ = D₄⋊₅D₁₂	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	48	C6.17ES+(2,2)	192,1113
C₆.₁₈2₊¹⁺⁴ = C₄²⋊₁₈D₆	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	48	C6.18ES+(2,2)	192,1115
C₆.₁₉2₊¹⁺⁴ = C₄².₁₁₃D₆	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	96	C6.19ES+(2,2)	192,1117
C₆.₂₀2₊¹⁺⁴ = C₄².₁₁₄D₆	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	96	C6.20ES+(2,2)	192,1118
C₆.₂₁2₊¹⁺⁴ = C₄²⋊₁₉D₆	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	48	C6.21ES+(2,2)	192,1119
C₆.₂₂2₊¹⁺⁴ = C₄².₁₁₅D₆	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	96	C6.22ES+(2,2)	192,1120
C₆.₂₃2₊¹⁺⁴ = C₄².₁₁₈D₆	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	96	C6.23ES+(2,2)	192,1123
C₆.₂₄2₊¹⁺⁴ = C₂⁴.₄₃D₆	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	48	C6.24ES+(2,2)	192,1146
C₆.₂₅2₊¹⁺⁴ = C₂⁴⋊₇D₆	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	48	C6.25ES+(2,2)	192,1148
C₆.₂₆2₊¹⁺⁴ = C₂⁴⋊₈D₆	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	48	C6.26ES+(2,2)	192,1149
C₆.₂₇2₊¹⁺⁴ = C₂⁴.₄₄D₆	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	48	C6.27ES+(2,2)	192,1150
C₆.₂₈2₊¹⁺⁴ = C₂⁴.₄₅D₆	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	48	C6.28ES+(2,2)	192,1151
C₆.₂₉2₊¹⁺⁴ = C₂⁴.₄₆D₆	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	48	C6.29ES+(2,2)	192,1152
C₆.₃₀2₊¹⁺⁴ = C₂⁴⋊₉D₆	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	48	C6.30ES+(2,2)	192,1153
C₆.₃₁2₊¹⁺⁴ = C₂⁴.₄₇D₆	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	48	C6.31ES+(2,2)	192,1154
C₆.₃₂2₊¹⁺⁴ = C₆.₃₂2₊¹⁺⁴	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	96	C6.32ES+(2,2)	192,1156
C₆.₃₃2₊¹⁺⁴ = Dic₆⋊₂₀D₄	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	96	C6.33ES+(2,2)	192,1158
C₆.₃₄2₊¹⁺⁴ = C₆.₃₄2₊¹⁺⁴	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	96	C6.34ES+(2,2)	192,1160
C₆.₃₅2₊¹⁺⁴ = C₆.₇₀2_-¹⁺⁴	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	96	C6.35ES+(2,2)	192,1161
C₆.₃₆2₊¹⁺⁴ = C₆.₇₁2_-¹⁺⁴	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	96	C6.36ES+(2,2)	192,1162
C₆.₃₇2₊¹⁺⁴ = C₆.₃₇2₊¹⁺⁴	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	48	C6.37ES+(2,2)	192,1164
C₆.₃₈2₊¹⁺⁴ = C₆.₃₈2₊¹⁺⁴	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	48	C6.38ES+(2,2)	192,1166
C₆.₃₉2₊¹⁺⁴ = C₆.₇₂2_-¹⁺⁴	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	96	C6.39ES+(2,2)	192,1167
C₆.₄₀2₊¹⁺⁴ = C₆.₄₀2₊¹⁺⁴	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	48	C6.40ES+(2,2)	192,1169
C₆.₄₁2₊¹⁺⁴ = D₁₂⋊₂₀D₄	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	48	C6.41ES+(2,2)	192,1171
C₆.₄₂2₊¹⁺⁴ = C₆.₄₂2₊¹⁺⁴	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	48	C6.42ES+(2,2)	192,1172
C₆.₄₃2₊¹⁺⁴ = C₆.₄₃2₊¹⁺⁴	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	96	C6.43ES+(2,2)	192,1173
C₆.₄₄2₊¹⁺⁴ = C₆.₄₄2₊¹⁺⁴	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	96	C6.44ES+(2,2)	192,1174
C₆.₄₅2₊¹⁺⁴ = C₆.₄₅2₊¹⁺⁴	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	96	C6.45ES+(2,2)	192,1175
C₆.₄₆2₊¹⁺⁴ = C₆.₄₆2₊¹⁺⁴	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	48	C6.46ES+(2,2)	192,1176
C₆.₄₇2₊¹⁺⁴ = C₆.₄₇2₊¹⁺⁴	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	96	C6.47ES+(2,2)	192,1178
C₆.₄₈2₊¹⁺⁴ = C₆.₄₈2₊¹⁺⁴	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	48	C6.48ES+(2,2)	192,1179
C₆.₄₉2₊¹⁺⁴ = C₆.₄₉2₊¹⁺⁴	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	96	C6.49ES+(2,2)	192,1180
C₆.₅₀2₊¹⁺⁴ = C₆.₇₅2_-¹⁺⁴	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	96	C6.50ES+(2,2)	192,1182
C₆.₅₁2₊¹⁺⁴ = C₆.₅₁2₊¹⁺⁴	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	48	C6.51ES+(2,2)	192,1193
C₆.₅₂2₊¹⁺⁴ = C₆.₅₂2₊¹⁺⁴	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	96	C6.52ES+(2,2)	192,1195
C₆.₅₃2₊¹⁺⁴ = C₆.₅₃2₊¹⁺⁴	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	48	C6.53ES+(2,2)	192,1196
C₆.₅₄2₊¹⁺⁴ = C₆.₂₀2_-¹⁺⁴	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	96	C6.54ES+(2,2)	192,1197
C₆.₅₅2₊¹⁺⁴ = C₆.₂₂2_-¹⁺⁴	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	96	C6.55ES+(2,2)	192,1199
C₆.₅₆2₊¹⁺⁴ = C₆.₅₆2₊¹⁺⁴	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	48	C6.56ES+(2,2)	192,1203
C₆.₅₇2₊¹⁺⁴ = C₆.₇₈2_-¹⁺⁴	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	96	C6.57ES+(2,2)	192,1204
C₆.₅₈2₊¹⁺⁴ = C₆.₂₅2_-¹⁺⁴	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	96	C6.58ES+(2,2)	192,1205
C₆.₅₉2₊¹⁺⁴ = C₆.₅₉2₊¹⁺⁴	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	96	C6.59ES+(2,2)	192,1206
C₆.₆₀2₊¹⁺⁴ = C₆.₈₁2_-¹⁺⁴	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	96	C6.60ES+(2,2)	192,1210
C₆.₆₁2₊¹⁺⁴ = C₆.₆₁2₊¹⁺⁴	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	48	C6.61ES+(2,2)	192,1216
C₆.₆₂2₊¹⁺⁴ = C₆.₆₂2₊¹⁺⁴	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	48	C6.62ES+(2,2)	192,1218
C₆.₆₃2₊¹⁺⁴ = C₆.₆₃2₊¹⁺⁴	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	96	C6.63ES+(2,2)	192,1219
C₆.₆₄2₊¹⁺⁴ = C₆.₆₄2₊¹⁺⁴	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	96	C6.64ES+(2,2)	192,1220
C₆.₆₅2₊¹⁺⁴ = C₆.₆₅2₊¹⁺⁴	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	96	C6.65ES+(2,2)	192,1221
C₆.₆₆2₊¹⁺⁴ = C₆.₆₆2₊¹⁺⁴	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	96	C6.66ES+(2,2)	192,1222
C₆.₆₇2₊¹⁺⁴ = C₆.₆₇2₊¹⁺⁴	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	96	C6.67ES+(2,2)	192,1223
C₆.₆₈2₊¹⁺⁴ = C₆.₆₈2₊¹⁺⁴	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	48	C6.68ES+(2,2)	192,1225
C₆.₆₉2₊¹⁺⁴ = C₆.₆₉2₊¹⁺⁴	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	96	C6.69ES+(2,2)	192,1226
C₆.₇₀2₊¹⁺⁴ = C₄².₁₃₇D₆	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	96	C6.70ES+(2,2)	192,1228
C₆.₇₁2₊¹⁺⁴ = C₄².₁₃₈D₆	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	96	C6.71ES+(2,2)	192,1229
C₆.₇₂2₊¹⁺⁴ = C₄².₁₄₀D₆	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	96	C6.72ES+(2,2)	192,1231
C₆.₇₃2₊¹⁺⁴ = C₄²⋊₂₃D₆	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	48	C6.73ES+(2,2)	192,1238
C₆.₇₄2₊¹⁺⁴ = C₄².₁₄₅D₆	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	96	C6.74ES+(2,2)	192,1243
C₆.₇₅2₊¹⁺⁴ = C₄².₁₆₆D₆	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	96	C6.75ES+(2,2)	192,1272
C₆.₇₆2₊¹⁺⁴ = C₄²⋊₂₈D₆	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	48	C6.76ES+(2,2)	192,1274
C₆.₇₇2₊¹⁺⁴ = D₁₂⋊₁₁D₄	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	48	C6.77ES+(2,2)	192,1276
C₆.₇₈2₊¹⁺⁴ = Dic₆⋊₁₁D₄	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	96	C6.78ES+(2,2)	192,1277
C₆.₇₉2₊¹⁺⁴ = C₄².₁₆₈D₆	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	96	C6.79ES+(2,2)	192,1278
C₆.₈₀2₊¹⁺⁴ = C₄²⋊₃₀D₆	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	48	C6.80ES+(2,2)	192,1279
C₆.₈₁2₊¹⁺⁴ = Dic₆⋊₉Q₈	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	192	C6.81ES+(2,2)	192,1281
C₆.₈₂2₊¹⁺⁴ = C₄².₁₇₄D₆	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	96	C6.82ES+(2,2)	192,1288
C₆.₈₃2₊¹⁺⁴ = D₁₂⋊₉Q₈	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	96	C6.83ES+(2,2)	192,1289
C₆.₈₄2₊¹⁺⁴ = C₄².₁₇₈D₆	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	96	C6.84ES+(2,2)	192,1292
C₆.₈₅2₊¹⁺⁴ = C₄².₁₇₉D₆	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	96	C6.85ES+(2,2)	192,1293
C₆.₈₆2₊¹⁺⁴ = C₄².₁₈₀D₆	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	96	C6.86ES+(2,2)	192,1294
C₆.₈₇2₊¹⁺⁴ = C₂⁴.₄₉D₆	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	48	C6.87ES+(2,2)	192,1357
C₆.₈₈2₊¹⁺⁴ = D₄×C₃⋊D₄	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	48	C6.88ES+(2,2)	192,1360
C₆.₈₉2₊¹⁺⁴ = C₂⁴⋊₁₂D₆	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	48	C6.89ES+(2,2)	192,1363
C₆.₉₀2₊¹⁺⁴ = C₂⁴.₅₂D₆	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	48	C6.90ES+(2,2)	192,1364
C₆.₉₁2₊¹⁺⁴ = C₂⁴.₅₃D₆	φ: 2₊¹⁺⁴/C₂×D₄ → C₂ ⊆ Aut C₆	48	C6.91ES+(2,2)	192,1365
C₆.₉₂2₊¹⁺⁴ = C₄².₉₀D₆	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₆	96	C6.92ES+(2,2)	192,1078
C₆.₉₃2₊¹⁺⁴ = C₄²⋊₉D₆	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₆	48	C6.93ES+(2,2)	192,1080
C₆.₉₄2₊¹⁺⁴ = C₄².₉₁D₆	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₆	96	C6.94ES+(2,2)	192,1082
C₆.₉₅2₊¹⁺⁴ = C₄²⋊₁₁D₆	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₆	48	C6.95ES+(2,2)	192,1084
C₆.₉₆2₊¹⁺⁴ = C₄²⋊₁₂D₆	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₆	48	C6.96ES+(2,2)	192,1086
C₆.₉₇2₊¹⁺⁴ = C₄².₉₅D₆	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₆	96	C6.97ES+(2,2)	192,1089
C₆.₉₈2₊¹⁺⁴ = C₄².₉₇D₆	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₆	96	C6.98ES+(2,2)	192,1091
C₆.₉₉2₊¹⁺⁴ = C₄².₉₉D₆	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₆	96	C6.99ES+(2,2)	192,1093
C₆.₁₀₀2₊¹⁺⁴ = C₄².₁₀₀D₆	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₆	96	C6.100ES+(2,2)	192,1094
C₆.₁₀₁2₊¹⁺⁴ = D₄⋊₆Dic₆	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₆	96	C6.101ES+(2,2)	192,1102
C₆.₁₀₂2₊¹⁺⁴ = D₄×D₁₂	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₆	48	C6.102ES+(2,2)	192,1108
C₆.₁₀₃2₊¹⁺⁴ = D₁₂⋊₂₃D₄	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₆	48	C6.103ES+(2,2)	192,1109
C₆.₁₀₄2₊¹⁺⁴ = Dic₆⋊₂₄D₄	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₆	96	C6.104ES+(2,2)	192,1112
C₆.₁₀₅2₊¹⁺⁴ = C₄².₁₁₆D₆	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₆	96	C6.105ES+(2,2)	192,1121
C₆.₁₀₆2₊¹⁺⁴ = C₄².₁₁₇D₆	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₆	96	C6.106ES+(2,2)	192,1122
C₆.₁₀₇2₊¹⁺⁴ = C₄².₁₁₉D₆	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₆	96	C6.107ES+(2,2)	192,1124
C₆.₁₀₈2₊¹⁺⁴ = Q₈×Dic₆	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₆	192	C6.108ES+(2,2)	192,1125
C₆.₁₀₉2₊¹⁺⁴ = C₄².₁₂₆D₆	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₆	96	C6.109ES+(2,2)	192,1133
C₆.₁₁₀2₊¹⁺⁴ = Q₈⋊₇D₁₂	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₆	96	C6.110ES+(2,2)	192,1136
C₆.₁₁₁2₊¹⁺⁴ = D₁₂⋊₁₀Q₈	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₆	96	C6.111ES+(2,2)	192,1138
C₆.₁₁₂2₊¹⁺⁴ = C₄².₁₃₃D₆	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₆	96	C6.112ES+(2,2)	192,1141
C₆.₁₁₃2₊¹⁺⁴ = C₄².₁₃₆D₆	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₆	96	C6.113ES+(2,2)	192,1144
C₆.₁₁₄2₊¹⁺⁴ = D₁₂⋊₁₉D₄	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₆	48	C6.114ES+(2,2)	192,1168
C₆.₁₁₅2₊¹⁺⁴ = C₆.₁₁₅2₊¹⁺⁴	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₆	96	C6.115ES+(2,2)	192,1177
C₆.₁₁₆2₊¹⁺⁴ = C₆.₁₇2_-¹⁺⁴	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₆	96	C6.116ES+(2,2)	192,1188
C₆.₁₁₇2₊¹⁺⁴ = D₁₂⋊₂₁D₄	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₆	48	C6.117ES+(2,2)	192,1189
C₆.₁₁₈2₊¹⁺⁴ = C₆.₁₁₈2₊¹⁺⁴	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₆	96	C6.118ES+(2,2)	192,1194
C₆.₁₁₉2₊¹⁺⁴ = C₆.₂₄2_-¹⁺⁴	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₆	96	C6.119ES+(2,2)	192,1202
C₆.₁₂₀2₊¹⁺⁴ = C₆.₁₂₀2₊¹⁺⁴	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₆	48	C6.120ES+(2,2)	192,1212
C₆.₁₂₁2₊¹⁺⁴ = C₆.₁₂₁2₊¹⁺⁴	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₆	48	C6.121ES+(2,2)	192,1213
C₆.₁₂₂2₊¹⁺⁴ = C₆.₁₂₂2₊¹⁺⁴	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₆	48	C6.122ES+(2,2)	192,1217
C₆.₁₂₃2₊¹⁺⁴ = C₆.₈₅2_-¹⁺⁴	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₆	96	C6.123ES+(2,2)	192,1224
C₆.₁₂₄2₊¹⁺⁴ = C₄²⋊₂₀D₆	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₆	48	C6.124ES+(2,2)	192,1233
C₆.₁₂₅2₊¹⁺⁴ = D₁₂⋊₁₀D₄	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₆	48	C6.125ES+(2,2)	192,1235
C₆.₁₂₆2₊¹⁺⁴ = C₄²⋊₂₂D₆	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₆	48	C6.126ES+(2,2)	192,1237
C₆.₁₂₇2₊¹⁺⁴ = C₄².₁₄₃D₆	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₆	96	C6.127ES+(2,2)	192,1240
C₆.₁₂₈2₊¹⁺⁴ = C₄².₁₄₄D₆	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₆	96	C6.128ES+(2,2)	192,1241
C₆.₁₂₉2₊¹⁺⁴ = C₄²⋊₂₄D₆	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₆	48	C6.129ES+(2,2)	192,1242
C₆.₁₃₀2₊¹⁺⁴ = C₄².₁₄₈D₆	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₆	96	C6.130ES+(2,2)	192,1248
C₆.₁₃₁2₊¹⁺⁴ = D₁₂⋊₇Q₈	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₆	96	C6.131ES+(2,2)	192,1249
C₆.₁₃₂2₊¹⁺⁴ = C₄².₁₅₀D₆	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₆	96	C6.132ES+(2,2)	192,1251
C₆.₁₃₃2₊¹⁺⁴ = C₄².₁₅₃D₆	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₆	96	C6.133ES+(2,2)	192,1254
C₆.₁₃₄2₊¹⁺⁴ = C₄².₁₅₅D₆	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₆	96	C6.134ES+(2,2)	192,1256
C₆.₁₃₅2₊¹⁺⁴ = C₄².₁₅₇D₆	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₆	96	C6.135ES+(2,2)	192,1258
C₆.₁₃₆2₊¹⁺⁴ = C₄².₁₅₈D₆	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₆	96	C6.136ES+(2,2)	192,1259
C₆.₁₃₇2₊¹⁺⁴ = C₄²⋊₂₅D₆	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₆	48	C6.137ES+(2,2)	192,1263
C₆.₁₃₈2₊¹⁺⁴ = C₄²⋊₂₆D₆	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₆	48	C6.138ES+(2,2)	192,1264
C₆.₁₃₉2₊¹⁺⁴ = C₄².₁₆₁D₆	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₆	96	C6.139ES+(2,2)	192,1266
C₆.₁₄₀2₊¹⁺⁴ = C₄².₁₆₃D₆	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₆	96	C6.140ES+(2,2)	192,1268
C₆.₁₄₁2₊¹⁺⁴ = C₄².₁₆₄D₆	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₆	96	C6.141ES+(2,2)	192,1269
C₆.₁₄₂2₊¹⁺⁴ = C₄²⋊₂₇D₆	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₆	48	C6.142ES+(2,2)	192,1270
C₆.₁₄₃2₊¹⁺⁴ = C₄².₁₆₅D₆	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₆	96	C6.143ES+(2,2)	192,1271
C₆.₁₄₄2₊¹⁺⁴ = C₆.₁₄₄2₊¹⁺⁴	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₆	96	C6.144ES+(2,2)	192,1386
C₆.₁₄₅2₊¹⁺⁴ = C₆.₁₄₅2₊¹⁺⁴	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₆	48	C6.145ES+(2,2)	192,1388
C₆.₁₄₆2₊¹⁺⁴ = C₆.₁₄₆2₊¹⁺⁴	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₆	48	C6.146ES+(2,2)	192,1389
C₆.₁₄₇2₊¹⁺⁴ = C₆.₁₀₈2_-¹⁺⁴	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₆	96	C6.147ES+(2,2)	192,1392
C₆.₁₄₈2₊¹⁺⁴ = C₆.₁₄₈2₊¹⁺⁴	φ: 2₊¹⁺⁴/C₄○D₄ → C₂ ⊆ Aut C₆	96	C6.148ES+(2,2)	192,1393
C₆.₁₄₉2₊¹⁺⁴ = C₃×C₂².₁₁C₂⁴	central extension (φ=1)	48	C6.149ES+(2,2)	192,1407
C₆.₁₅₀2₊¹⁺⁴ = C₃×C₂³.₃₃C₂³	central extension (φ=1)	96	C6.150ES+(2,2)	192,1409
C₆.₁₅₁2₊¹⁺⁴ = C₃×C₂³⋊₃D₄	central extension (φ=1)	48	C6.151ES+(2,2)	192,1423
C₆.₁₅₂2₊¹⁺⁴ = C₃×C₂².₂₉C₂⁴	central extension (φ=1)	48	C6.152ES+(2,2)	192,1424
C₆.₁₅₃2₊¹⁺⁴ = C₃×C₂².₃₁C₂⁴	central extension (φ=1)	96	C6.153ES+(2,2)	192,1426
C₆.₁₅₄2₊¹⁺⁴ = C₃×C₂².₃₂C₂⁴	central extension (φ=1)	48	C6.154ES+(2,2)	192,1427
C₆.₁₅₅2₊¹⁺⁴ = C₃×C₂².₃₃C₂⁴	central extension (φ=1)	96	C6.155ES+(2,2)	192,1428
C₆.₁₅₆2₊¹⁺⁴ = C₃×C₂².₃₄C₂⁴	central extension (φ=1)	96	C6.156ES+(2,2)	192,1429
C₆.₁₅₇2₊¹⁺⁴ = C₃×C₂².₃₆C₂⁴	central extension (φ=1)	96	C6.157ES+(2,2)	192,1431
C₆.₁₅₈2₊¹⁺⁴ = C₃×C₂³⋊₂Q₈	central extension (φ=1)	48	C6.158ES+(2,2)	192,1432
C₆.₁₅₉2₊¹⁺⁴ = C₃×C₂³.₄₁C₂³	central extension (φ=1)	96	C6.159ES+(2,2)	192,1433
C₆.₁₆₀2₊¹⁺⁴ = C₃×D₄²	central extension (φ=1)	48	C6.160ES+(2,2)	192,1434
C₆.₁₆₁2₊¹⁺⁴ = C₃×D₄⋊₅D₄	central extension (φ=1)	48	C6.161ES+(2,2)	192,1435
C₆.₁₆₂2₊¹⁺⁴ = C₃×Q₈⋊₆D₄	central extension (φ=1)	96	C6.162ES+(2,2)	192,1439
C₆.₁₆₃2₊¹⁺⁴ = C₃×C₂².₄₅C₂⁴	central extension (φ=1)	48	C6.163ES+(2,2)	192,1440
C₆.₁₆₄2₊¹⁺⁴ = C₃×C₂².₄₇C₂⁴	central extension (φ=1)	96	C6.164ES+(2,2)	192,1442
C₆.₁₆₅2₊¹⁺⁴ = C₃×D₄⋊₃Q₈	central extension (φ=1)	96	C6.165ES+(2,2)	192,1443
C₆.₁₆₆2₊¹⁺⁴ = C₃×C₂².₄₉C₂⁴	central extension (φ=1)	96	C6.166ES+(2,2)	192,1444
C₆.₁₆₇2₊¹⁺⁴ = C₃×Q₈²	central extension (φ=1)	192	C6.167ES+(2,2)	192,1447
C₆.₁₆₈2₊¹⁺⁴ = C₃×C₂².₅₃C₂⁴	central extension (φ=1)	96	C6.168ES+(2,2)	192,1448
C₆.₁₆₉2₊¹⁺⁴ = C₃×C₂².₅₄C₂⁴	central extension (φ=1)	48	C6.169ES+(2,2)	192,1449
C₆.₁₇₀2₊¹⁺⁴ = C₃×C₂⁴⋊C₂²	central extension (φ=1)	48	C6.170ES+(2,2)	192,1450
C₆.₁₇₁2₊¹⁺⁴ = C₃×C₂².₅₆C₂⁴	central extension (φ=1)	96	C6.171ES+(2,2)	192,1451
C₆.₁₇₂2₊¹⁺⁴ = C₃×C₂².₅₇C₂⁴	central extension (φ=1)	96	C6.172ES+(2,2)	192,1452

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Extensions 1→N→G→Q→1 with N=C6 and Q=2+ 1+4

Extensions 1→N→G→Q→1 with N=C₆ and Q=2₊¹⁺⁴