Extensions 1→N→G→Q→1 with N=Dic₃ and Q=C₄○D₄

Direct product G=N×Q with N=Dic₃ and Q=C₄○D₄

		d	ρ	Label	ID
Dic₃×C₄○D₄		96		Dic3xC4oD4	192,1385

Semidirect products G=N:Q with N=Dic₃ and Q=C₄○D₄

extension	φ:Q→Out N	d	Label	ID
Dic₃⋊₁(C₄○D₄) = C₄².₂₂₈D₆	φ: C₄○D₄/C₂×C₄ → C₂ ⊆ Out Dic₃	96	Dic3:1(C4oD4)	192,1107
Dic₃⋊₂(C₄○D₄) = C₁₂⋊(C₄○D₄)	φ: C₄○D₄/C₂×C₄ → C₂ ⊆ Out Dic₃	96	Dic3:2(C4oD4)	192,1155
Dic₃⋊₃(C₄○D₄) = C₄².₂₃₃D₆	φ: C₄○D₄/C₂×C₄ → C₂ ⊆ Out Dic₃	96	Dic3:3(C4oD4)	192,1227
Dic₃⋊₄(C₄○D₄) = (C₂×C₁₂)⋊₁₇D₄	φ: C₄○D₄/C₂×C₄ → C₂ ⊆ Out Dic₃	96	Dic3:4(C4oD4)	192,1391
Dic₃⋊₅(C₄○D₄) = D₁₂⋊₂₂D₄	φ: C₄○D₄/D₄ → C₂ ⊆ Out Dic₃	96	Dic3:5(C4oD4)	192,1190
Dic₃⋊₆(C₄○D₄) = C₆.₈₂2_-¹⁺⁴	φ: C₄○D₄/D₄ → C₂ ⊆ Out Dic₃	96	Dic3:6(C4oD4)	192,1214
Dic₃⋊₇(C₄○D₄) = C₆.₁₀₄2_-¹⁺⁴	φ: C₄○D₄/D₄ → C₂ ⊆ Out Dic₃	96	Dic3:7(C4oD4)	192,1383
Dic₃⋊₈(C₄○D₄) = Dic₆⋊₂₀D₄	φ: C₄○D₄/Q₈ → C₂ ⊆ Out Dic₃	96	Dic3:8(C4oD4)	192,1158
Dic₃⋊₉(C₄○D₄) = C₆.₁₄₈2₊¹⁺⁴	φ: C₄○D₄/Q₈ → C₂ ⊆ Out Dic₃	96	Dic3:9(C4oD4)	192,1393
Dic₃⋊₁₀(C₄○D₄) = C₄².₁₈₈D₆	φ: trivial image	96	Dic3:10(C4oD4)	192,1081
Dic₃⋊₁₁(C₄○D₄) = C₄×D₄⋊₂S₃	φ: trivial image	96	Dic3:11(C4oD4)	192,1095
Dic₃⋊₁₂(C₄○D₄) = C₄×Q₈⋊₃S₃	φ: trivial image	96	Dic3:12(C4oD4)	192,1132

Non-split extensions G=N.Q with N=Dic₃ and Q=C₄○D₄

extension	φ:Q→Out N	d	Label	ID
Dic₃.₁(C₄○D₄) = C₄².₈₈D₆	φ: C₄○D₄/C₂×C₄ → C₂ ⊆ Out Dic₃	96	Dic3.1(C4oD4)	192,1076
Dic₃.₂(C₄○D₄) = C₄².₉₃D₆	φ: C₄○D₄/C₂×C₄ → C₂ ⊆ Out Dic₃	96	Dic3.2(C4oD4)	192,1087
Dic₃.₃(C₄○D₄) = C₄².₁₀₂D₆	φ: C₄○D₄/C₂×C₄ → C₂ ⊆ Out Dic₃	96	Dic3.3(C4oD4)	192,1097
Dic₃.₄(C₄○D₄) = C₄².₂₃₂D₆	φ: C₄○D₄/C₂×C₄ → C₂ ⊆ Out Dic₃	96	Dic3.4(C4oD4)	192,1137
Dic₃.₅(C₄○D₄) = C₆.₄₄2₊¹⁺⁴	φ: C₄○D₄/C₂×C₄ → C₂ ⊆ Out Dic₃	96	Dic3.5(C4oD4)	192,1174
Dic₃.₆(C₄○D₄) = (Q₈×Dic₃)⋊C₂	φ: C₄○D₄/C₂×C₄ → C₂ ⊆ Out Dic₃	96	Dic3.6(C4oD4)	192,1181
Dic₃.₇(C₄○D₄) = C₆.₂₂2_-¹⁺⁴	φ: C₄○D₄/C₂×C₄ → C₂ ⊆ Out Dic₃	96	Dic3.7(C4oD4)	192,1199
Dic₃.₈(C₄○D₄) = C₄⋊C₄.₁₉₇D₆	φ: C₄○D₄/C₂×C₄ → C₂ ⊆ Out Dic₃	96	Dic3.8(C4oD4)	192,1208
Dic₃.₉(C₄○D₄) = C₆.₆₅2₊¹⁺⁴	φ: C₄○D₄/C₂×C₄ → C₂ ⊆ Out Dic₃	96	Dic3.9(C4oD4)	192,1221
Dic₃.₁₀(C₄○D₄) = C₆.₆₆2₊¹⁺⁴	φ: C₄○D₄/C₂×C₄ → C₂ ⊆ Out Dic₃	96	Dic3.10(C4oD4)	192,1222
Dic₃.₁₁(C₄○D₄) = C₄².₁₃₇D₆	φ: C₄○D₄/C₂×C₄ → C₂ ⊆ Out Dic₃	96	Dic3.11(C4oD4)	192,1228
Dic₃.₁₂(C₄○D₄) = C₄².₂₃₆D₆	φ: C₄○D₄/C₂×C₄ → C₂ ⊆ Out Dic₃	96	Dic3.12(C4oD4)	192,1247
Dic₃.₁₃(C₄○D₄) = C₄².₁₅₄D₆	φ: C₄○D₄/C₂×C₄ → C₂ ⊆ Out Dic₃	96	Dic3.13(C4oD4)	192,1255
Dic₃.₁₄(C₄○D₄) = C₄².₁₅₉D₆	φ: C₄○D₄/C₂×C₄ → C₂ ⊆ Out Dic₃	96	Dic3.14(C4oD4)	192,1260
Dic₃.₁₅(C₄○D₄) = C₄².₁₈₉D₆	φ: C₄○D₄/C₂×C₄ → C₂ ⊆ Out Dic₃	96	Dic3.15(C4oD4)	192,1265
Dic₃.₁₆(C₄○D₄) = C₄².₁₆₄D₆	φ: C₄○D₄/C₂×C₄ → C₂ ⊆ Out Dic₃	96	Dic3.16(C4oD4)	192,1269
Dic₃.₁₇(C₄○D₄) = C₄².₉₆D₆	φ: C₄○D₄/D₄ → C₂ ⊆ Out Dic₃	96	Dic3.17(C4oD4)	192,1090
Dic₃.₁₈(C₄○D₄) = C₄².₉₇D₆	φ: C₄○D₄/D₄ → C₂ ⊆ Out Dic₃	96	Dic3.18(C4oD4)	192,1091
Dic₃.₁₉(C₄○D₄) = D₄⋊₅Dic₆	φ: C₄○D₄/D₄ → C₂ ⊆ Out Dic₃	96	Dic3.19(C4oD4)	192,1098
Dic₃.₂₀(C₄○D₄) = C₄².₁₀₄D₆	φ: C₄○D₄/D₄ → C₂ ⊆ Out Dic₃	96	Dic3.20(C4oD4)	192,1099
Dic₃.₂₁(C₄○D₄) = C₄².₁₂₂D₆	φ: C₄○D₄/D₄ → C₂ ⊆ Out Dic₃	96	Dic3.21(C4oD4)	192,1127
Dic₃.₂₂(C₄○D₄) = C₆.₃₄2₊¹⁺⁴	φ: C₄○D₄/D₄ → C₂ ⊆ Out Dic₃	96	Dic3.22(C4oD4)	192,1160
Dic₃.₂₃(C₄○D₄) = C₆.₄₅2₊¹⁺⁴	φ: C₄○D₄/D₄ → C₂ ⊆ Out Dic₃	96	Dic3.23(C4oD4)	192,1175
Dic₃.₂₄(C₄○D₄) = C₆.₅₂2₊¹⁺⁴	φ: C₄○D₄/D₄ → C₂ ⊆ Out Dic₃	96	Dic3.24(C4oD4)	192,1195
Dic₃.₂₅(C₄○D₄) = C₆.₈₀2_-¹⁺⁴	φ: C₄○D₄/D₄ → C₂ ⊆ Out Dic₃	96	Dic3.25(C4oD4)	192,1209
Dic₃.₂₆(C₄○D₄) = C₆.₆₄2₊¹⁺⁴	φ: C₄○D₄/D₄ → C₂ ⊆ Out Dic₃	96	Dic3.26(C4oD4)	192,1220
Dic₃.₂₇(C₄○D₄) = C₄².₁₃₈D₆	φ: C₄○D₄/D₄ → C₂ ⊆ Out Dic₃	96	Dic3.27(C4oD4)	192,1229
Dic₃.₂₈(C₄○D₄) = C₄².₁₃₉D₆	φ: C₄○D₄/D₄ → C₂ ⊆ Out Dic₃	96	Dic3.28(C4oD4)	192,1230
Dic₃.₂₉(C₄○D₄) = D₁₂⋊₇Q₈	φ: C₄○D₄/D₄ → C₂ ⊆ Out Dic₃	96	Dic3.29(C4oD4)	192,1249
Dic₃.₃₀(C₄○D₄) = C₄².₁₅₁D₆	φ: C₄○D₄/D₄ → C₂ ⊆ Out Dic₃	96	Dic3.30(C4oD4)	192,1252
Dic₃.₃₁(C₄○D₄) = C₄².₁₆₀D₆	φ: C₄○D₄/D₄ → C₂ ⊆ Out Dic₃	96	Dic3.31(C4oD4)	192,1261
Dic₃.₃₂(C₄○D₄) = C₄².₁₆₂D₆	φ: C₄○D₄/D₄ → C₂ ⊆ Out Dic₃	96	Dic3.32(C4oD4)	192,1267
Dic₃.₃₃(C₄○D₄) = C₄².₁₆₃D₆	φ: C₄○D₄/D₄ → C₂ ⊆ Out Dic₃	96	Dic3.33(C4oD4)	192,1268
Dic₃.₃₄(C₄○D₄) = C₄².₉₈D₆	φ: C₄○D₄/Q₈ → C₂ ⊆ Out Dic₃	96	Dic3.34(C4oD4)	192,1092
Dic₃.₃₅(C₄○D₄) = C₄².₁₁₄D₆	φ: C₄○D₄/Q₈ → C₂ ⊆ Out Dic₃	96	Dic3.35(C4oD4)	192,1118
Dic₃.₃₆(C₄○D₄) = Q₈⋊₆Dic₆	φ: C₄○D₄/Q₈ → C₂ ⊆ Out Dic₃	192	Dic3.36(C4oD4)	192,1128
Dic₃.₃₇(C₄○D₄) = C₆.₂₃2_-¹⁺⁴	φ: C₄○D₄/Q₈ → C₂ ⊆ Out Dic₃	96	Dic3.37(C4oD4)	192,1200
Dic₃.₃₈(C₄○D₄) = C₆.₆₇2₊¹⁺⁴	φ: C₄○D₄/Q₈ → C₂ ⊆ Out Dic₃	96	Dic3.38(C4oD4)	192,1223
Dic₃.₃₉(C₄○D₄) = C₄².₁₄₃D₆	φ: C₄○D₄/Q₈ → C₂ ⊆ Out Dic₃	96	Dic3.39(C4oD4)	192,1240
Dic₃.₄₀(C₄○D₄) = Dic₆⋊₇Q₈	φ: C₄○D₄/Q₈ → C₂ ⊆ Out Dic₃	192	Dic3.40(C4oD4)	192,1244
Dic₃.₄₁(C₄○D₄) = C₄⋊C₄.₁₇₈D₆	φ: trivial image	96	Dic3.41(C4oD4)	192,1159
Dic₃.₄₂(C₄○D₄) = C₄⋊C₄.₁₈₇D₆	φ: trivial image	96	Dic3.42(C4oD4)	192,1183
Dic₃.₄₃(C₄○D₄) = C₄².₂₃₄D₆	φ: trivial image	96	Dic3.43(C4oD4)	192,1239
Dic₃.₄₄(C₄○D₄) = C₄².₂₃₇D₆	φ: trivial image	96	Dic3.44(C4oD4)	192,1250

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Extensions 1→N→G→Q→1 with N=Dic3 and Q=C4○D4

Extensions 1→N→G→Q→1 with N=Dic₃ and Q=C₄○D₄