Extensions 1→N→G→Q→1 with N=D₆ and Q=C₄○D₄

Direct product G=N×Q with N=D₆ and Q=C₄○D₄

		d	ρ	Label	ID
C₂×S₃×C₄○D₄		48		C2xS3xC4oD4	192,1520

Semidirect products G=N:Q with N=D₆ and Q=C₄○D₄

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

Non-split extensions G=N.Q with N=D₆ and Q=C₄○D₄

extension	φ:Q→Out N	d	Label	ID
D₆.₁(C₄○D₄) = C₄².₉₃D₆	φ: C₄○D₄/C₂×C₄ → C₂ ⊆ Out D₆	96	D6.1(C4oD4)	192,1087
D₆.₂(C₄○D₄) = C₄².₂₂₉D₆	φ: C₄○D₄/C₂×C₄ → C₂ ⊆ Out D₆	96	D6.2(C4oD4)	192,1116
D₆.₃(C₄○D₄) = C₄².₁₃₁D₆	φ: C₄○D₄/C₂×C₄ → C₂ ⊆ Out D₆	96	D6.3(C4oD4)	192,1139
D₆.₄(C₄○D₄) = C₆.₄₂2₊¹⁺⁴	φ: C₄○D₄/C₂×C₄ → C₂ ⊆ Out D₆	48	D6.4(C4oD4)	192,1172
D₆.₅(C₄○D₄) = C₆.₂₀2_-¹⁺⁴	φ: C₄○D₄/C₂×C₄ → C₂ ⊆ Out D₆	96	D6.5(C4oD4)	192,1197
D₆.₆(C₄○D₄) = C₆.₆₁2₊¹⁺⁴	φ: C₄○D₄/C₂×C₄ → C₂ ⊆ Out D₆	48	D6.6(C4oD4)	192,1216
D₆.₇(C₄○D₄) = C₆.₆₃2₊¹⁺⁴	φ: C₄○D₄/C₂×C₄ → C₂ ⊆ Out D₆	96	D6.7(C4oD4)	192,1219
D₆.₈(C₄○D₄) = C₄²⋊₂₂D₆	φ: C₄○D₄/C₂×C₄ → C₂ ⊆ Out D₆	48	D6.8(C4oD4)	192,1237
D₆.₉(C₄○D₄) = C₄².₂₃₄D₆	φ: C₄○D₄/C₂×C₄ → C₂ ⊆ Out D₆	96	D6.9(C4oD4)	192,1239
D₆.₁₀(C₄○D₄) = C₄².₂₃₇D₆	φ: C₄○D₄/C₂×C₄ → C₂ ⊆ Out D₆	96	D6.10(C4oD4)	192,1250
D₆.₁₁(C₄○D₄) = C₄².₁₅₀D₆	φ: C₄○D₄/C₂×C₄ → C₂ ⊆ Out D₆	96	D6.11(C4oD4)	192,1251
D₆.₁₂(C₄○D₄) = C₄²⋊₂₅D₆	φ: C₄○D₄/C₂×C₄ → C₂ ⊆ Out D₆	48	D6.12(C4oD4)	192,1263
D₆.₁₃(C₄○D₄) = C₄².₁₈₉D₆	φ: C₄○D₄/C₂×C₄ → C₂ ⊆ Out D₆	96	D6.13(C4oD4)	192,1265
D₆.₁₄(C₄○D₄) = C₄².₁₆₁D₆	φ: C₄○D₄/C₂×C₄ → C₂ ⊆ Out D₆	96	D6.14(C4oD4)	192,1266
D₆.₁₅(C₄○D₄) = C₄²⋊₁₂D₆	φ: C₄○D₄/D₄ → C₂ ⊆ Out D₆	48	D6.15(C4oD4)	192,1086
D₆.₁₆(C₄○D₄) = C₄².₉₄D₆	φ: C₄○D₄/D₄ → C₂ ⊆ Out D₆	96	D6.16(C4oD4)	192,1088
D₆.₁₇(C₄○D₄) = C₄²⋊₁₈D₆	φ: C₄○D₄/D₄ → C₂ ⊆ Out D₆	48	D6.17(C4oD4)	192,1115
D₆.₁₈(C₄○D₄) = C₄².₁₃₂D₆	φ: C₄○D₄/D₄ → C₂ ⊆ Out D₆	96	D6.18(C4oD4)	192,1140
D₆.₁₉(C₄○D₄) = C₆.₅₃2₊¹⁺⁴	φ: C₄○D₄/D₄ → C₂ ⊆ Out D₆	48	D6.19(C4oD4)	192,1196
D₆.₂₀(C₄○D₄) = C₆.₂₁2_-¹⁺⁴	φ: C₄○D₄/D₄ → C₂ ⊆ Out D₆	96	D6.20(C4oD4)	192,1198
D₆.₂₁(C₄○D₄) = C₆.₁₂₂2₊¹⁺⁴	φ: C₄○D₄/D₄ → C₂ ⊆ Out D₆	48	D6.21(C4oD4)	192,1217
D₆.₂₂(C₄○D₄) = C₆.₆₂2₊¹⁺⁴	φ: C₄○D₄/D₄ → C₂ ⊆ Out D₆	48	D6.22(C4oD4)	192,1218
D₆.₂₃(C₄○D₄) = C₄²⋊₂₃D₆	φ: C₄○D₄/D₄ → C₂ ⊆ Out D₆	48	D6.23(C4oD4)	192,1238
D₆.₂₄(C₄○D₄) = C₄².₁₅₁D₆	φ: C₄○D₄/D₄ → C₂ ⊆ Out D₆	96	D6.24(C4oD4)	192,1252
D₆.₂₅(C₄○D₄) = C₄².₁₅₂D₆	φ: C₄○D₄/D₄ → C₂ ⊆ Out D₆	96	D6.25(C4oD4)	192,1253
D₆.₂₆(C₄○D₄) = C₄²⋊₂₆D₆	φ: C₄○D₄/D₄ → C₂ ⊆ Out D₆	48	D6.26(C4oD4)	192,1264
D₆.₂₇(C₄○D₄) = C₄².₁₆₂D₆	φ: C₄○D₄/D₄ → C₂ ⊆ Out D₆	96	D6.27(C4oD4)	192,1267
D₆.₂₈(C₄○D₄) = C₄².₉₅D₆	φ: C₄○D₄/Q₈ → C₂ ⊆ Out D₆	96	D6.28(C4oD4)	192,1089
D₆.₂₉(C₄○D₄) = C₄².₁₁₃D₆	φ: C₄○D₄/Q₈ → C₂ ⊆ Out D₆	96	D6.29(C4oD4)	192,1117
D₆.₃₀(C₄○D₄) = C₆.₄₃2₊¹⁺⁴	φ: C₄○D₄/Q₈ → C₂ ⊆ Out D₆	96	D6.30(C4oD4)	192,1173
D₆.₃₁(C₄○D₄) = C₆.₆₄2₊¹⁺⁴	φ: C₄○D₄/Q₈ → C₂ ⊆ Out D₆	96	D6.31(C4oD4)	192,1220
D₆.₃₂(C₄○D₄) = C₄².₁₅₃D₆	φ: C₄○D₄/Q₈ → C₂ ⊆ Out D₆	96	D6.32(C4oD4)	192,1254
D₆.₃₃(C₄○D₄) = C₄².₁₆₃D₆	φ: C₄○D₄/Q₈ → C₂ ⊆ Out D₆	96	D6.33(C4oD4)	192,1268
D₆.₃₄(C₄○D₄) = S₃×C₄²⋊C₂	φ: trivial image	48	D6.34(C4oD4)	192,1079
D₆.₃₅(C₄○D₄) = C₄×S₃×D₄	φ: trivial image	48	D6.35(C4oD4)	192,1103
D₆.₃₆(C₄○D₄) = C₄×S₃×Q₈	φ: trivial image	96	D6.36(C4oD4)	192,1130
D₆.₃₇(C₄○D₄) = S₃×C₄⋊D₄	φ: trivial image	48	D6.37(C4oD4)	192,1163
D₆.₃₈(C₄○D₄) = S₃×C₂²⋊Q₈	φ: trivial image	48	D6.38(C4oD4)	192,1185
D₆.₃₉(C₄○D₄) = S₃×C₂².D₄	φ: trivial image	48	D6.39(C4oD4)	192,1211
D₆.₄₀(C₄○D₄) = S₃×C₄.₄D₄	φ: trivial image	48	D6.40(C4oD4)	192,1232
D₆.₄₁(C₄○D₄) = S₃×C₄².C₂	φ: trivial image	96	D6.41(C4oD4)	192,1246
D₆.₄₂(C₄○D₄) = S₃×C₄²⋊₂C₂	φ: trivial image	48	D6.42(C4oD4)	192,1262

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Extensions 1→N→G→Q→1 with N=D6 and Q=C4○D4

Extensions 1→N→G→Q→1 with N=D₆ and Q=C₄○D₄