Extensions 1→N→G→Q→1 with N=C₈ and Q=C₂×Dic₇

Direct product G=N×Q with N=C₈ and Q=C₂×Dic₇

		d	ρ	Label	ID
C₂×C₈×Dic₇		448		C2xC8xDic7	448,632

Semidirect products G=N:Q with N=C₈ and Q=C₂×Dic₇

extension	φ:Q→Aut N	d	Label	ID
C₈⋊₁(C₂×Dic₇) = C₂³.₄₇D₂₈	φ: C₂×Dic₇/C₁₄ → C₂² ⊆ Aut C₈	224	C8:1(C2xDic7)	448,655
C₈⋊₂(C₂×Dic₇) = D₈⋊Dic₇	φ: C₂×Dic₇/C₁₄ → C₂² ⊆ Aut C₈	224	C8:2(C2xDic7)	448,686
C₈⋊₃(C₂×Dic₇) = SD₁₆⋊Dic₇	φ: C₂×Dic₇/C₁₄ → C₂² ⊆ Aut C₈	224	C8:3(C2xDic7)	448,698
C₈⋊₄(C₂×Dic₇) = D₈×Dic₇	φ: C₂×Dic₇/Dic₇ → C₂ ⊆ Aut C₈	224	C8:4(C2xDic7)	448,683
C₈⋊₅(C₂×Dic₇) = SD₁₆×Dic₇	φ: C₂×Dic₇/Dic₇ → C₂ ⊆ Aut C₈	224	C8:5(C2xDic7)	448,695
C₈⋊₆(C₂×Dic₇) = M₄(2)×Dic₇	φ: C₂×Dic₇/Dic₇ → C₂ ⊆ Aut C₈	224	C8:6(C2xDic7)	448,651
C₈⋊₇(C₂×Dic₇) = C₂×C₅₆⋊₁C₄	φ: C₂×Dic₇/C₂×C₁₄ → C₂ ⊆ Aut C₈	448	C8:7(C2xDic7)	448,639
C₈⋊₈(C₂×Dic₇) = C₂×C₈⋊Dic₇	φ: C₂×Dic₇/C₂×C₁₄ → C₂ ⊆ Aut C₈	448	C8:8(C2xDic7)	448,638
C₈⋊₉(C₂×Dic₇) = C₂×C₅₆⋊C₄	φ: C₂×Dic₇/C₂×C₁₄ → C₂ ⊆ Aut C₈	448	C8:9(C2xDic7)	448,634

Non-split extensions G=N.Q with N=C₈ and Q=C₂×Dic₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.₁(C₂×Dic₇) = D₈.Dic₇	φ: C₂×Dic₇/C₁₄ → C₂² ⊆ Aut C₈	112	4	C8.1(C2xDic7)	448,120
C₈.₂(C₂×Dic₇) = Q₁₆.Dic₇	φ: C₂×Dic₇/C₁₄ → C₂² ⊆ Aut C₈	224	4	C8.2(C2xDic7)	448,122
C₈.₃(C₂×Dic₇) = D₈⋊₂Dic₇	φ: C₂×Dic₇/C₁₄ → C₂² ⊆ Aut C₈	112	4	C8.3(C2xDic7)	448,123
C₈.₄(C₂×Dic₇) = M₄(2).Dic₇	φ: C₂×Dic₇/C₁₄ → C₂² ⊆ Aut C₈	112	4	C8.4(C2xDic7)	448,659
C₈.₅(C₂×Dic₇) = Q₁₆⋊Dic₇	φ: C₂×Dic₇/C₁₄ → C₂² ⊆ Aut C₈	448		C8.5(C2xDic7)	448,718
C₈.₆(C₂×Dic₇) = D₈⋊₄Dic₇	φ: C₂×Dic₇/C₁₄ → C₂² ⊆ Aut C₈	112	4	C8.6(C2xDic7)	448,731
C₈.₇(C₂×Dic₇) = C₁₄.SD₃₂	φ: C₂×Dic₇/Dic₇ → C₂ ⊆ Aut C₈	224		C8.7(C2xDic7)	448,119
C₈.₈(C₂×Dic₇) = C₁₄.Q₃₂	φ: C₂×Dic₇/Dic₇ → C₂ ⊆ Aut C₈	448		C8.8(C2xDic7)	448,121
C₈.₉(C₂×Dic₇) = C₂₈.₅₈D₈	φ: C₂×Dic₇/Dic₇ → C₂ ⊆ Aut C₈	224	4	C8.9(C2xDic7)	448,124
C₈.₁₀(C₂×Dic₇) = Q₁₆×Dic₇	φ: C₂×Dic₇/Dic₇ → C₂ ⊆ Aut C₈	448		C8.10(C2xDic7)	448,717
C₈.₁₁(C₂×Dic₇) = D₈⋊₅Dic₇	φ: C₂×Dic₇/Dic₇ → C₂ ⊆ Aut C₈	112	4	C8.11(C2xDic7)	448,730
C₈.₁₂(C₂×Dic₇) = C₂₈.₇C₄²	φ: C₂×Dic₇/Dic₇ → C₂ ⊆ Aut C₈	224		C8.12(C2xDic7)	448,656
C₈.₁₃(C₂×Dic₇) = C₅₆.₇₀C₂³	φ: C₂×Dic₇/Dic₇ → C₂ ⊆ Aut C₈	224	4	C8.13(C2xDic7)	448,674
C₈.₁₄(C₂×Dic₇) = C₁₁₂⋊₅C₄	φ: C₂×Dic₇/C₂×C₁₄ → C₂ ⊆ Aut C₈	448		C8.14(C2xDic7)	448,61
C₈.₁₅(C₂×Dic₇) = C₁₁₂⋊₆C₄	φ: C₂×Dic₇/C₂×C₁₄ → C₂ ⊆ Aut C₈	448		C8.15(C2xDic7)	448,62
C₈.₁₆(C₂×Dic₇) = C₁₁₂.C₄	φ: C₂×Dic₇/C₂×C₁₄ → C₂ ⊆ Aut C₈	224	2	C8.16(C2xDic7)	448,63
C₈.₁₇(C₂×Dic₇) = C₂³.₂₂D₂₈	φ: C₂×Dic₇/C₂×C₁₄ → C₂ ⊆ Aut C₈	224		C8.17(C2xDic7)	448,640
C₈.₁₈(C₂×Dic₇) = C₁₆⋊Dic₇	φ: C₂×Dic₇/C₂×C₁₄ → C₂ ⊆ Aut C₈	112	4	C8.18(C2xDic7)	448,70
C₈.₁₉(C₂×Dic₇) = C₂×C₅₆.C₄	φ: C₂×Dic₇/C₂×C₁₄ → C₂ ⊆ Aut C₈	224		C8.19(C2xDic7)	448,641
C₈.₂₀(C₂×Dic₇) = C₁₁₂⋊C₄	φ: C₂×Dic₇/C₂×C₁₄ → C₂ ⊆ Aut C₈	112	4	C8.20(C2xDic7)	448,69
C₈.₂₁(C₂×Dic₇) = C₂×C₇⋊C₃₂	central extension (φ=1)	448		C8.21(C2xDic7)	448,55
C₈.₂₂(C₂×Dic₇) = C₇⋊M₆(2)	central extension (φ=1)	224	2	C8.22(C2xDic7)	448,56
C₈.₂₃(C₂×Dic₇) = C₁₆×Dic₇	central extension (φ=1)	448		C8.23(C2xDic7)	448,57
C₈.₂₄(C₂×Dic₇) = C₁₁₂⋊₉C₄	central extension (φ=1)	448		C8.24(C2xDic7)	448,59
C₈.₂₅(C₂×Dic₇) = C₂²×C₇⋊C₁₆	central extension (φ=1)	448		C8.25(C2xDic7)	448,630
C₈.₂₆(C₂×Dic₇) = C₂×C₂₈.C₈	central extension (φ=1)	224		C8.26(C2xDic7)	448,631
C₈.₂₇(C₂×Dic₇) = C₂₈.₁₂C₄²	central extension (φ=1)	224		C8.27(C2xDic7)	448,635

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Extensions 1→N→G→Q→1 with N=C8 and Q=C2×Dic7

Extensions 1→N→G→Q→1 with N=C₈ and Q=C₂×Dic₇