Extensions 1→N→G→Q→1 with N=Dic₇ and Q=C₄○D₄

Direct product G=N×Q with N=Dic₇ and Q=C₄○D₄

		d	ρ	Label	ID
C₄○D₄×Dic₇		224		C4oD4xDic7	448,1279

Semidirect products G=N:Q with N=Dic₇ and Q=C₄○D₄

extension	φ:Q→Out N	d	Label	ID
Dic₇⋊₁(C₄○D₄) = C₄².₂₂₈D₁₄	φ: C₄○D₄/C₂×C₄ → C₂ ⊆ Out Dic₇	224	Dic7:1(C4oD4)	448,1001
Dic₇⋊₂(C₄○D₄) = C₂₈⋊(C₄○D₄)	φ: C₄○D₄/C₂×C₄ → C₂ ⊆ Out Dic₇	224	Dic7:2(C4oD4)	448,1049
Dic₇⋊₃(C₄○D₄) = C₄².₂₃₃D₁₄	φ: C₄○D₄/C₂×C₄ → C₂ ⊆ Out Dic₇	224	Dic7:3(C4oD4)	448,1121
Dic₇⋊₄(C₄○D₄) = (C₂×C₂₈)⋊₁₇D₄	φ: C₄○D₄/C₂×C₄ → C₂ ⊆ Out Dic₇	224	Dic7:4(C4oD4)	448,1285
Dic₇⋊₅(C₄○D₄) = D₂₈⋊₂₂D₄	φ: C₄○D₄/D₄ → C₂ ⊆ Out Dic₇	224	Dic7:5(C4oD4)	448,1084
Dic₇⋊₆(C₄○D₄) = C₁₄.₈₂2_-¹⁺⁴	φ: C₄○D₄/D₄ → C₂ ⊆ Out Dic₇	224	Dic7:6(C4oD4)	448,1108
Dic₇⋊₇(C₄○D₄) = C₁₄.₁₀₄2_-¹⁺⁴	φ: C₄○D₄/D₄ → C₂ ⊆ Out Dic₇	224	Dic7:7(C4oD4)	448,1277
Dic₇⋊₈(C₄○D₄) = Dic₁₄⋊₂₀D₄	φ: C₄○D₄/Q₈ → C₂ ⊆ Out Dic₇	224	Dic7:8(C4oD4)	448,1052
Dic₇⋊₉(C₄○D₄) = C₁₄.₁₄₈2₊¹⁺⁴	φ: C₄○D₄/Q₈ → C₂ ⊆ Out Dic₇	224	Dic7:9(C4oD4)	448,1287
Dic₇⋊₁₀(C₄○D₄) = C₄².₁₈₈D₁₄	φ: trivial image	224	Dic7:10(C4oD4)	448,975
Dic₇⋊₁₁(C₄○D₄) = C₄×D₄⋊₂D₇	φ: trivial image	224	Dic7:11(C4oD4)	448,989
Dic₇⋊₁₂(C₄○D₄) = C₄×Q₈⋊₂D₇	φ: trivial image	224	Dic7:12(C4oD4)	448,1026

Non-split extensions G=N.Q with N=Dic₇ and Q=C₄○D₄

extension	φ:Q→Out N	d	Label	ID
Dic₇.₁(C₄○D₄) = C₄².₈₈D₁₄	φ: C₄○D₄/C₂×C₄ → C₂ ⊆ Out Dic₇	224	Dic7.1(C4oD4)	448,970
Dic₇.₂(C₄○D₄) = C₄².₉₃D₁₄	φ: C₄○D₄/C₂×C₄ → C₂ ⊆ Out Dic₇	224	Dic7.2(C4oD4)	448,981
Dic₇.₃(C₄○D₄) = C₄².₁₀₂D₁₄	φ: C₄○D₄/C₂×C₄ → C₂ ⊆ Out Dic₇	224	Dic7.3(C4oD4)	448,991
Dic₇.₄(C₄○D₄) = C₄².₂₃₂D₁₄	φ: C₄○D₄/C₂×C₄ → C₂ ⊆ Out Dic₇	224	Dic7.4(C4oD4)	448,1031
Dic₇.₅(C₄○D₄) = C₁₄.₄₄2₊¹⁺⁴	φ: C₄○D₄/C₂×C₄ → C₂ ⊆ Out Dic₇	224	Dic7.5(C4oD4)	448,1068
Dic₇.₆(C₄○D₄) = (Q₈×Dic₇)⋊C₂	φ: C₄○D₄/C₂×C₄ → C₂ ⊆ Out Dic₇	224	Dic7.6(C4oD4)	448,1075
Dic₇.₇(C₄○D₄) = C₁₄.₂₂2_-¹⁺⁴	φ: C₄○D₄/C₂×C₄ → C₂ ⊆ Out Dic₇	224	Dic7.7(C4oD4)	448,1093
Dic₇.₈(C₄○D₄) = C₄⋊C₄.₁₉₇D₁₄	φ: C₄○D₄/C₂×C₄ → C₂ ⊆ Out Dic₇	224	Dic7.8(C4oD4)	448,1102
Dic₇.₉(C₄○D₄) = C₁₄.₈₄2_-¹⁺⁴	φ: C₄○D₄/C₂×C₄ → C₂ ⊆ Out Dic₇	224	Dic7.9(C4oD4)	448,1115
Dic₇.₁₀(C₄○D₄) = C₁₄.₆₆2₊¹⁺⁴	φ: C₄○D₄/C₂×C₄ → C₂ ⊆ Out Dic₇	224	Dic7.10(C4oD4)	448,1116
Dic₇.₁₁(C₄○D₄) = C₄².₁₃₇D₁₄	φ: C₄○D₄/C₂×C₄ → C₂ ⊆ Out Dic₇	224	Dic7.11(C4oD4)	448,1122
Dic₇.₁₂(C₄○D₄) = C₄².₂₃₆D₁₄	φ: C₄○D₄/C₂×C₄ → C₂ ⊆ Out Dic₇	224	Dic7.12(C4oD4)	448,1141
Dic₇.₁₃(C₄○D₄) = C₄².₁₅₄D₁₄	φ: C₄○D₄/C₂×C₄ → C₂ ⊆ Out Dic₇	224	Dic7.13(C4oD4)	448,1149
Dic₇.₁₄(C₄○D₄) = C₄².₁₅₉D₁₄	φ: C₄○D₄/C₂×C₄ → C₂ ⊆ Out Dic₇	224	Dic7.14(C4oD4)	448,1154
Dic₇.₁₅(C₄○D₄) = C₄².₁₈₉D₁₄	φ: C₄○D₄/C₂×C₄ → C₂ ⊆ Out Dic₇	224	Dic7.15(C4oD4)	448,1159
Dic₇.₁₆(C₄○D₄) = C₄².₁₆₄D₁₄	φ: C₄○D₄/C₂×C₄ → C₂ ⊆ Out Dic₇	224	Dic7.16(C4oD4)	448,1163
Dic₇.₁₇(C₄○D₄) = C₄².₉₆D₁₄	φ: C₄○D₄/D₄ → C₂ ⊆ Out Dic₇	224	Dic7.17(C4oD4)	448,984
Dic₇.₁₈(C₄○D₄) = C₄².₉₇D₁₄	φ: C₄○D₄/D₄ → C₂ ⊆ Out Dic₇	224	Dic7.18(C4oD4)	448,985
Dic₇.₁₉(C₄○D₄) = D₄⋊₅Dic₁₄	φ: C₄○D₄/D₄ → C₂ ⊆ Out Dic₇	224	Dic7.19(C4oD4)	448,992
Dic₇.₂₀(C₄○D₄) = C₄².₁₀₄D₁₄	φ: C₄○D₄/D₄ → C₂ ⊆ Out Dic₇	224	Dic7.20(C4oD4)	448,993
Dic₇.₂₁(C₄○D₄) = C₄².₁₂₂D₁₄	φ: C₄○D₄/D₄ → C₂ ⊆ Out Dic₇	224	Dic7.21(C4oD4)	448,1021
Dic₇.₂₂(C₄○D₄) = C₁₄.₃₄2₊¹⁺⁴	φ: C₄○D₄/D₄ → C₂ ⊆ Out Dic₇	224	Dic7.22(C4oD4)	448,1054
Dic₇.₂₃(C₄○D₄) = C₁₄.₄₅2₊¹⁺⁴	φ: C₄○D₄/D₄ → C₂ ⊆ Out Dic₇	224	Dic7.23(C4oD4)	448,1069
Dic₇.₂₄(C₄○D₄) = C₁₄.₅₂2₊¹⁺⁴	φ: C₄○D₄/D₄ → C₂ ⊆ Out Dic₇	224	Dic7.24(C4oD4)	448,1089
Dic₇.₂₅(C₄○D₄) = C₁₄.₈₀2_-¹⁺⁴	φ: C₄○D₄/D₄ → C₂ ⊆ Out Dic₇	224	Dic7.25(C4oD4)	448,1103
Dic₇.₂₆(C₄○D₄) = C₁₄.₆₄2₊¹⁺⁴	φ: C₄○D₄/D₄ → C₂ ⊆ Out Dic₇	224	Dic7.26(C4oD4)	448,1114
Dic₇.₂₇(C₄○D₄) = C₄².₁₃₈D₁₄	φ: C₄○D₄/D₄ → C₂ ⊆ Out Dic₇	224	Dic7.27(C4oD4)	448,1123
Dic₇.₂₈(C₄○D₄) = C₄².₁₃₉D₁₄	φ: C₄○D₄/D₄ → C₂ ⊆ Out Dic₇	224	Dic7.28(C4oD4)	448,1124
Dic₇.₂₉(C₄○D₄) = D₂₈⋊₇Q₈	φ: C₄○D₄/D₄ → C₂ ⊆ Out Dic₇	224	Dic7.29(C4oD4)	448,1143
Dic₇.₃₀(C₄○D₄) = C₄².₁₅₁D₁₄	φ: C₄○D₄/D₄ → C₂ ⊆ Out Dic₇	224	Dic7.30(C4oD4)	448,1146
Dic₇.₃₁(C₄○D₄) = C₄².₁₆₀D₁₄	φ: C₄○D₄/D₄ → C₂ ⊆ Out Dic₇	224	Dic7.31(C4oD4)	448,1155
Dic₇.₃₂(C₄○D₄) = C₄².₁₆₂D₁₄	φ: C₄○D₄/D₄ → C₂ ⊆ Out Dic₇	224	Dic7.32(C4oD4)	448,1161
Dic₇.₃₃(C₄○D₄) = C₄².₁₆₃D₁₄	φ: C₄○D₄/D₄ → C₂ ⊆ Out Dic₇	224	Dic7.33(C4oD4)	448,1162
Dic₇.₃₄(C₄○D₄) = C₄².₉₈D₁₄	φ: C₄○D₄/Q₈ → C₂ ⊆ Out Dic₇	224	Dic7.34(C4oD4)	448,986
Dic₇.₃₅(C₄○D₄) = C₄².₁₁₄D₁₄	φ: C₄○D₄/Q₈ → C₂ ⊆ Out Dic₇	224	Dic7.35(C4oD4)	448,1012
Dic₇.₃₆(C₄○D₄) = Q₈⋊₅Dic₁₄	φ: C₄○D₄/Q₈ → C₂ ⊆ Out Dic₇	448	Dic7.36(C4oD4)	448,1022
Dic₇.₃₇(C₄○D₄) = C₁₄.₂₃2_-¹⁺⁴	φ: C₄○D₄/Q₈ → C₂ ⊆ Out Dic₇	224	Dic7.37(C4oD4)	448,1094
Dic₇.₃₈(C₄○D₄) = C₁₄.₆₇2₊¹⁺⁴	φ: C₄○D₄/Q₈ → C₂ ⊆ Out Dic₇	224	Dic7.38(C4oD4)	448,1117
Dic₇.₃₉(C₄○D₄) = C₄².₁₄₃D₁₄	φ: C₄○D₄/Q₈ → C₂ ⊆ Out Dic₇	224	Dic7.39(C4oD4)	448,1134
Dic₇.₄₀(C₄○D₄) = Dic₁₄⋊₇Q₈	φ: C₄○D₄/Q₈ → C₂ ⊆ Out Dic₇	448	Dic7.40(C4oD4)	448,1138
Dic₇.₄₁(C₄○D₄) = C₄⋊C₄.₁₇₈D₁₄	φ: trivial image	224	Dic7.41(C4oD4)	448,1053
Dic₇.₄₂(C₄○D₄) = C₂²⋊Q₈⋊₂₅D₇	φ: trivial image	224	Dic7.42(C4oD4)	448,1077
Dic₇.₄₃(C₄○D₄) = C₄².₂₃₄D₁₄	φ: trivial image	224	Dic7.43(C4oD4)	448,1133
Dic₇.₄₄(C₄○D₄) = C₄².₂₃₇D₁₄	φ: trivial image	224	Dic7.44(C4oD4)	448,1144

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Extensions 1→N→G→Q→1 with N=Dic7 and Q=C4○D4

Extensions 1→N→G→Q→1 with N=Dic₇ and Q=C₄○D₄