Extensions 1→N→G→Q→1 with N=D₆ and Q=C₄oD₄

Direct product G=NxQ with N=D₆ and Q=C₄oD₄

		d	ρ	Label	ID
C₂xS₃xC₄oD₄		48		C2xS3xC4oD4	192,1520

Semidirect products G=N:Q with N=D₆ and Q=C₄oD₄

extension	φ:Q→Out N	d	Label	ID
D₆:₁(C₄oD₄) = C₄²:₁₀D₆	φ: C₄oD₄/C₂xC₄ → C₂ ⊆ Out D₆	48	D6:1(C4oD4)	192,1083
D₆:₂(C₄oD₄) = C₄²:₁₄D₆	φ: C₄oD₄/C₂xC₄ → C₂ ⊆ Out D₆	48	D6:2(C4oD4)	192,1106
D₆:₃(C₄oD₄) = C₄:C₄:₂₁D₆	φ: C₄oD₄/C₂xC₄ → C₂ ⊆ Out D₆	48	D6:3(C4oD4)	192,1165
D₆:₄(C₄oD₄) = C₄:C₄:₂₆D₆	φ: C₄oD₄/C₂xC₄ → C₂ ⊆ Out D₆	48	D6:4(C4oD4)	192,1186
D₆:₅(C₄oD₄) = C₄:C₄:₂₈D₆	φ: C₄oD₄/C₂xC₄ → C₂ ⊆ Out D₆	48	D6:5(C4oD4)	192,1215
D₆:₆(C₄oD₄) = (C₂xD₄):₄₃D₆	φ: C₄oD₄/C₂xC₄ → C₂ ⊆ Out D₆	48	D6:6(C4oD4)	192,1387
D₆:₇(C₄oD₄) = D₄:₅D₁₂	φ: C₄oD₄/D₄ → C₂ ⊆ Out D₆	48	D6:7(C4oD4)	192,1113
D₆:₈(C₄oD₄) = C₆.₄₀2₊¹⁺⁴	φ: C₄oD₄/D₄ → C₂ ⊆ Out D₆	48	D6:8(C4oD4)	192,1169
D₆:₉(C₄oD₄) = D₁₂:₂₀D₄	φ: C₄oD₄/D₄ → C₂ ⊆ Out D₆	48	D6:9(C4oD4)	192,1171
D₆:₁₀(C₄oD₄) = C₆.₁₂₁2₊¹⁺⁴	φ: C₄oD₄/D₄ → C₂ ⊆ Out D₆	48	D6:10(C4oD4)	192,1213
D₆:₁₁(C₄oD₄) = D₁₂:₁₀D₄	φ: C₄oD₄/D₄ → C₂ ⊆ Out D₆	48	D6:11(C4oD4)	192,1235
D₆:₁₂(C₄oD₄) = C₆.₁₄₅2₊¹⁺⁴	φ: C₄oD₄/D₄ → C₂ ⊆ Out D₆	48	D6:12(C4oD4)	192,1388
D₆:₁₃(C₄oD₄) = Q₈:₆D₁₂	φ: C₄oD₄/Q₈ → C₂ ⊆ Out D₆	96	D6:13(C4oD4)	192,1135
D₆:₁₄(C₄oD₄) = Dic₆:₂₂D₄	φ: C₄oD₄/Q₈ → C₂ ⊆ Out D₆	96	D6:14(C4oD4)	192,1192
D₆:₁₅(C₄oD₄) = Dic₆:₁₀D₄	φ: C₄oD₄/Q₈ → C₂ ⊆ Out D₆	96	D6:15(C4oD4)	192,1236
D₆:₁₆(C₄oD₄) = C₆.₁₀₇2_-¹⁺⁴	φ: C₄oD₄/Q₈ → C₂ ⊆ Out D₆	96	D6:16(C4oD4)	192,1390

Non-split extensions G=N.Q with N=D₆ and Q=C₄oD₄

extension	φ:Q→Out N	d	Label	ID
D₆.₁(C₄oD₄) = C₄².₉₃D₆	φ: C₄oD₄/C₂xC₄ → C₂ ⊆ Out D₆	96	D6.1(C4oD4)	192,1087
D₆.₂(C₄oD₄) = C₄².₂₂₉D₆	φ: C₄oD₄/C₂xC₄ → C₂ ⊆ Out D₆	96	D6.2(C4oD4)	192,1116
D₆.₃(C₄oD₄) = C₄².₁₃₁D₆	φ: C₄oD₄/C₂xC₄ → C₂ ⊆ Out D₆	96	D6.3(C4oD4)	192,1139
D₆.₄(C₄oD₄) = C₆.₄₂2₊¹⁺⁴	φ: C₄oD₄/C₂xC₄ → C₂ ⊆ Out D₆	48	D6.4(C4oD4)	192,1172
D₆.₅(C₄oD₄) = C₆.₂₀2_-¹⁺⁴	φ: C₄oD₄/C₂xC₄ → C₂ ⊆ Out D₆	96	D6.5(C4oD4)	192,1197
D₆.₆(C₄oD₄) = C₆.₆₁2₊¹⁺⁴	φ: C₄oD₄/C₂xC₄ → C₂ ⊆ Out D₆	48	D6.6(C4oD4)	192,1216
D₆.₇(C₄oD₄) = C₆.₆₃2₊¹⁺⁴	φ: C₄oD₄/C₂xC₄ → C₂ ⊆ Out D₆	96	D6.7(C4oD4)	192,1219
D₆.₈(C₄oD₄) = C₄²:₂₂D₆	φ: C₄oD₄/C₂xC₄ → C₂ ⊆ Out D₆	48	D6.8(C4oD4)	192,1237
D₆.₉(C₄oD₄) = C₄².₂₃₄D₆	φ: C₄oD₄/C₂xC₄ → C₂ ⊆ Out D₆	96	D6.9(C4oD4)	192,1239
D₆.₁₀(C₄oD₄) = C₄².₂₃₇D₆	φ: C₄oD₄/C₂xC₄ → C₂ ⊆ Out D₆	96	D6.10(C4oD4)	192,1250
D₆.₁₁(C₄oD₄) = C₄².₁₅₀D₆	φ: C₄oD₄/C₂xC₄ → C₂ ⊆ Out D₆	96	D6.11(C4oD4)	192,1251
D₆.₁₂(C₄oD₄) = C₄²:₂₅D₆	φ: C₄oD₄/C₂xC₄ → C₂ ⊆ Out D₆	48	D6.12(C4oD4)	192,1263
D₆.₁₃(C₄oD₄) = C₄².₁₈₉D₆	φ: C₄oD₄/C₂xC₄ → C₂ ⊆ Out D₆	96	D6.13(C4oD4)	192,1265
D₆.₁₄(C₄oD₄) = C₄².₁₆₁D₆	φ: C₄oD₄/C₂xC₄ → C₂ ⊆ Out D₆	96	D6.14(C4oD4)	192,1266
D₆.₁₅(C₄oD₄) = C₄²:₁₂D₆	φ: C₄oD₄/D₄ → C₂ ⊆ Out D₆	48	D6.15(C4oD4)	192,1086
D₆.₁₆(C₄oD₄) = C₄².₉₄D₆	φ: C₄oD₄/D₄ → C₂ ⊆ Out D₆	96	D6.16(C4oD4)	192,1088
D₆.₁₇(C₄oD₄) = C₄²:₁₈D₆	φ: C₄oD₄/D₄ → C₂ ⊆ Out D₆	48	D6.17(C4oD4)	192,1115
D₆.₁₈(C₄oD₄) = C₄².₁₃₂D₆	φ: C₄oD₄/D₄ → C₂ ⊆ Out D₆	96	D6.18(C4oD4)	192,1140
D₆.₁₉(C₄oD₄) = C₆.₅₃2₊¹⁺⁴	φ: C₄oD₄/D₄ → C₂ ⊆ Out D₆	48	D6.19(C4oD4)	192,1196
D₆.₂₀(C₄oD₄) = C₆.₂₁2_-¹⁺⁴	φ: C₄oD₄/D₄ → C₂ ⊆ Out D₆	96	D6.20(C4oD4)	192,1198
D₆.₂₁(C₄oD₄) = C₆.₁₂₂2₊¹⁺⁴	φ: C₄oD₄/D₄ → C₂ ⊆ Out D₆	48	D6.21(C4oD4)	192,1217
D₆.₂₂(C₄oD₄) = C₆.₆₂2₊¹⁺⁴	φ: C₄oD₄/D₄ → C₂ ⊆ Out D₆	48	D6.22(C4oD4)	192,1218
D₆.₂₃(C₄oD₄) = C₄²:₂₃D₆	φ: C₄oD₄/D₄ → C₂ ⊆ Out D₆	48	D6.23(C4oD4)	192,1238
D₆.₂₄(C₄oD₄) = C₄².₁₅₁D₆	φ: C₄oD₄/D₄ → C₂ ⊆ Out D₆	96	D6.24(C4oD4)	192,1252
D₆.₂₅(C₄oD₄) = C₄².₁₅₂D₆	φ: C₄oD₄/D₄ → C₂ ⊆ Out D₆	96	D6.25(C4oD4)	192,1253
D₆.₂₆(C₄oD₄) = C₄²:₂₆D₆	φ: C₄oD₄/D₄ → C₂ ⊆ Out D₆	48	D6.26(C4oD4)	192,1264
D₆.₂₇(C₄oD₄) = C₄².₁₆₂D₆	φ: C₄oD₄/D₄ → C₂ ⊆ Out D₆	96	D6.27(C4oD4)	192,1267
D₆.₂₈(C₄oD₄) = C₄².₉₅D₆	φ: C₄oD₄/Q₈ → C₂ ⊆ Out D₆	96	D6.28(C4oD4)	192,1089
D₆.₂₉(C₄oD₄) = C₄².₁₁₃D₆	φ: C₄oD₄/Q₈ → C₂ ⊆ Out D₆	96	D6.29(C4oD4)	192,1117
D₆.₃₀(C₄oD₄) = C₆.₄₃2₊¹⁺⁴	φ: C₄oD₄/Q₈ → C₂ ⊆ Out D₆	96	D6.30(C4oD4)	192,1173
D₆.₃₁(C₄oD₄) = C₆.₆₄2₊¹⁺⁴	φ: C₄oD₄/Q₈ → C₂ ⊆ Out D₆	96	D6.31(C4oD4)	192,1220
D₆.₃₂(C₄oD₄) = C₄².₁₅₃D₆	φ: C₄oD₄/Q₈ → C₂ ⊆ Out D₆	96	D6.32(C4oD4)	192,1254
D₆.₃₃(C₄oD₄) = C₄².₁₆₃D₆	φ: C₄oD₄/Q₈ → C₂ ⊆ Out D₆	96	D6.33(C4oD4)	192,1268
D₆.₃₄(C₄oD₄) = S₃xC₄²:C₂	φ: trivial image	48	D6.34(C4oD4)	192,1079
D₆.₃₅(C₄oD₄) = C₄xS₃xD₄	φ: trivial image	48	D6.35(C4oD4)	192,1103
D₆.₃₆(C₄oD₄) = C₄xS₃xQ₈	φ: trivial image	96	D6.36(C4oD4)	192,1130
D₆.₃₇(C₄oD₄) = S₃xC₄:D₄	φ: trivial image	48	D6.37(C4oD4)	192,1163
D₆.₃₈(C₄oD₄) = S₃xC₂²:Q₈	φ: trivial image	48	D6.38(C4oD4)	192,1185
D₆.₃₉(C₄oD₄) = S₃xC₂².D₄	φ: trivial image	48	D6.39(C4oD4)	192,1211
D₆.₄₀(C₄oD₄) = S₃xC₄.₄D₄	φ: trivial image	48	D6.40(C4oD4)	192,1232
D₆.₄₁(C₄oD₄) = S₃xC₄².C₂	φ: trivial image	96	D6.41(C4oD4)	192,1246
D₆.₄₂(C₄oD₄) = S₃xC₄²:₂C₂	φ: trivial image	48	D6.42(C4oD4)	192,1262

Extensions 1→N→G→Q→1 with N=D6 and Q=C4oD4

Extensions 1→N→G→Q→1 with N=D₆ and Q=C₄oD₄