Extensions 1→N→G→Q→1 with N=Dic₇ and Q=C₂xQ₈

Direct product G=NxQ with N=Dic₇ and Q=C₂xQ₈

		d	ρ	Label	ID
C₂xQ₈xDic₇		448		C2xQ8xDic7	448,1264

Semidirect products G=N:Q with N=Dic₇ and Q=C₂xQ₈

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₇:₁(C₂xQ₈) = C₂xC₂₈:Q₈	φ: C₂xQ₈/C₂xC₄ → C₂ ⊆ Out Dic₇	448		Dic7:1(C2xQ8)	448,950
Dic₇:₂(C₂xQ₈) = D₇xC₄:Q₈	φ: C₂xQ₈/C₂xC₄ → C₂ ⊆ Out Dic₇	224		Dic7:2(C2xQ8)	448,1176
Dic₇:₃(C₂xQ₈) = C₂xDic₇:Q₈	φ: C₂xQ₈/C₂xC₄ → C₂ ⊆ Out Dic₇	448		Dic7:3(C2xQ8)	448,1263
Dic₇:₄(C₂xQ₈) = Dic₁₄:₂₁D₄	φ: C₂xQ₈/Q₈ → C₂ ⊆ Out Dic₇	224		Dic7:4(C2xQ8)	448,1085
Dic₇:₅(C₂xQ₈) = Q₈xC₇:D₄	φ: C₂xQ₈/Q₈ → C₂ ⊆ Out Dic₇	224		Dic7:5(C2xQ8)	448,1268
Dic₇:₆(C₂xQ₈) = C₂xDic₇:₃Q₈	φ: trivial image	448		Dic7:6(C2xQ8)	448,949
Dic₇:₇(C₂xQ₈) = C₄xQ₈xD₇	φ: trivial image	224		Dic7:7(C2xQ8)	448,1024

Non-split extensions G=N.Q with N=Dic₇ and Q=C₂xQ₈

extension	φ:Q→Out N	d	ρ	Label	ID
Dic₇.₁(C₂xQ₈) = C₂xDic₇.Q₈	φ: C₂xQ₈/C₂xC₄ → C₂ ⊆ Out Dic₇	448		Dic7.1(C2xQ8)	448,951
Dic₇.₂(C₂xQ₈) = C₄².₂₃₂D₁₄	φ: C₂xQ₈/C₂xC₄ → C₂ ⊆ Out Dic₇	224		Dic7.2(C2xQ8)	448,1031
Dic₇.₃(C₂xQ₈) = (Q₈xDic₇):C₂	φ: C₂xQ₈/C₂xC₄ → C₂ ⊆ Out Dic₇	224		Dic7.3(C2xQ8)	448,1075
Dic₇.₄(C₂xQ₈) = C₁₄.₇₅2_-¹⁺⁴	φ: C₂xQ₈/C₂xC₄ → C₂ ⊆ Out Dic₇	224		Dic7.4(C2xQ8)	448,1076
Dic₇.₅(C₂xQ₈) = D₇xC₄².C₂	φ: C₂xQ₈/C₂xC₄ → C₂ ⊆ Out Dic₇	224		Dic7.5(C2xQ8)	448,1140
Dic₇.₆(C₂xQ₈) = C₄².₁₄₈D₁₄	φ: C₂xQ₈/C₂xC₄ → C₂ ⊆ Out Dic₇	224		Dic7.6(C2xQ8)	448,1142
Dic₇.₇(C₂xQ₈) = C₄².₁₇₄D₁₄	φ: C₂xQ₈/C₂xC₄ → C₂ ⊆ Out Dic₇	224		Dic7.7(C2xQ8)	448,1182
Dic₇.₈(C₂xQ₈) = C₁₄.₁₀2₊¹⁺⁴	φ: C₂xQ₈/Q₈ → C₂ ⊆ Out Dic₇	224		Dic7.8(C2xQ8)	448,964
Dic₇.₉(C₂xQ₈) = Q₈xDic₁₄	φ: C₂xQ₈/Q₈ → C₂ ⊆ Out Dic₇	448		Dic7.9(C2xQ8)	448,1019
Dic₇.₁₀(C₂xQ₈) = Dic₁₄:₁₀Q₈	φ: C₂xQ₈/Q₈ → C₂ ⊆ Out Dic₇	448		Dic7.10(C2xQ8)	448,1020
Dic₇.₁₁(C₂xQ₈) = C₁₄.₁₁₈2₊¹⁺⁴	φ: C₂xQ₈/Q₈ → C₂ ⊆ Out Dic₇	224		Dic7.11(C2xQ8)	448,1088
Dic₇.₁₂(C₂xQ₈) = C₁₄.₅₂2₊¹⁺⁴	φ: C₂xQ₈/Q₈ → C₂ ⊆ Out Dic₇	224		Dic7.12(C2xQ8)	448,1089
Dic₇.₁₃(C₂xQ₈) = Dic₁₄:₇Q₈	φ: C₂xQ₈/Q₈ → C₂ ⊆ Out Dic₇	448		Dic7.13(C2xQ8)	448,1138
Dic₇.₁₄(C₂xQ₈) = Dic₁₄:₈Q₈	φ: C₂xQ₈/Q₈ → C₂ ⊆ Out Dic₇	448		Dic7.14(C2xQ8)	448,1174
Dic₇.₁₅(C₂xQ₈) = Dic₁₄:₉Q₈	φ: C₂xQ₈/Q₈ → C₂ ⊆ Out Dic₇	448		Dic7.15(C2xQ8)	448,1175
Dic₇.₁₆(C₂xQ₈) = C₄².₂₃₆D₁₄	φ: trivial image	224		Dic7.16(C2xQ8)	448,1141
Dic₇.₁₇(C₂xQ₈) = C₄².₂₄₁D₁₄	φ: trivial image	224		Dic7.17(C2xQ8)	448,1181

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