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⁾ = C₆.₆₈2_-⁽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⁾ = C₆.₅₀2₊⁽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⁾ = C₆.₅₅2₊⁽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⁾ = C₆.₅₇2₊⁽¹⁺⁴⁾	φ: 2₊⁽¹⁺⁴⁾/C₂×D₄ → C₂ ⊆ Aut C₆	96	C6.57ES+(2,2)	192,1204
C₆.₅₈2₊⁽¹⁺⁴⁾ = C₆.₅₈2₊⁽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⁾ = C₆.₁₀₆2_-⁽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⁾