Extensions 1→N→G→Q→1 with N=C₄ and Q=C₈×D₇

Direct product G=N×Q with N=C₄ and Q=C₈×D₇

		d	ρ	Label	ID
D₇×C₄×C₈		224		D7xC4xC8	448,218

Semidirect products G=N:Q with N=C₄ and Q=C₈×D₇

extension	φ:Q→Aut N	d	Label	ID
C₄⋊₁(C₈×D₇) = D₂₈⋊C₈	φ: C₈×D₇/C₇⋊C₈ → C₂ ⊆ Aut C₄	224	C4:1(C8xD7)	448,368
C₄⋊₂(C₈×D₇) = C₈×D₂₈	φ: C₈×D₇/C₅₆ → C₂ ⊆ Aut C₄	224	C4:2(C8xD7)	448,220
C₄⋊₃(C₈×D₇) = D₇×C₄⋊C₈	φ: C₈×D₇/C₄×D₇ → C₂ ⊆ Aut C₄	224	C4:3(C8xD7)	448,366

Non-split extensions G=N.Q with N=C₄ and Q=C₈×D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(C₈×D₇) = D₂₈⋊₂C₈	φ: C₈×D₇/C₇⋊C₈ → C₂ ⊆ Aut C₄	224		C4.1(C8xD7)	448,40
C₄.₂(C₈×D₇) = Dic₁₄⋊₂C₈	φ: C₈×D₇/C₇⋊C₈ → C₂ ⊆ Aut C₄	448		C4.2(C8xD7)	448,41
C₄.₃(C₈×D₇) = Dic₁₄.C₈	φ: C₈×D₇/C₇⋊C₈ → C₂ ⊆ Aut C₄	224	4	C4.3(C8xD7)	448,72
C₄.₄(C₈×D₇) = Dic₁₄⋊C₈	φ: C₈×D₇/C₇⋊C₈ → C₂ ⊆ Aut C₄	448		C4.4(C8xD7)	448,364
C₄.₅(C₈×D₇) = C₁₆.₁₂D₁₄	φ: C₈×D₇/C₇⋊C₈ → C₂ ⊆ Aut C₄	224	4	C4.5(C8xD7)	448,441
C₄.₆(C₈×D₇) = C₄.₈Dic₂₈	φ: C₈×D₇/C₅₆ → C₂ ⊆ Aut C₄	448		C4.6(C8xD7)	448,13
C₄.₇(C₈×D₇) = C₄.₁₇D₅₆	φ: C₈×D₇/C₅₆ → C₂ ⊆ Aut C₄	224		C4.7(C8xD7)	448,16
C₄.₈(C₈×D₇) = D₂₈.C₈	φ: C₈×D₇/C₅₆ → C₂ ⊆ Aut C₄	224	2	C4.8(C8xD7)	448,65
C₄.₉(C₈×D₇) = C₈×Dic₁₄	φ: C₈×D₇/C₅₆ → C₂ ⊆ Aut C₄	448		C4.9(C8xD7)	448,212
C₄.₁₀(C₈×D₇) = D₂₈.₄C₈	φ: C₈×D₇/C₅₆ → C₂ ⊆ Aut C₄	224	2	C4.10(C8xD7)	448,435
C₄.₁₁(C₈×D₇) = C₂₈.₅₃D₈	φ: C₈×D₇/C₄×D₇ → C₂ ⊆ Aut C₄	448		C4.11(C8xD7)	448,36
C₄.₁₂(C₈×D₇) = C₂₈.₃₉SD₁₆	φ: C₈×D₇/C₄×D₇ → C₂ ⊆ Aut C₄	448		C4.12(C8xD7)	448,37
C₄.₁₃(C₈×D₇) = C₅₆.₉Q₈	φ: C₈×D₇/C₄×D₇ → C₂ ⊆ Aut C₄	112	4	C4.13(C8xD7)	448,68
C₄.₁₄(C₈×D₇) = C₄².₂₀₀D₁₄	φ: C₈×D₇/C₄×D₇ → C₂ ⊆ Aut C₄	224		C4.14(C8xD7)	448,367
C₄.₁₅(C₈×D₇) = D₇×M₅(2)	φ: C₈×D₇/C₄×D₇ → C₂ ⊆ Aut C₄	112	4	C4.15(C8xD7)	448,440
C₄.₁₆(C₈×D₇) = D₇×C₃₂	central extension (φ=1)	224	2	C4.16(C8xD7)	448,3
C₄.₁₇(C₈×D₇) = C₃₂⋊D₇	central extension (φ=1)	224	2	C4.17(C8xD7)	448,4
C₄.₁₈(C₈×D₇) = C₈×C₇⋊C₈	central extension (φ=1)	448		C4.18(C8xD7)	448,10
C₄.₁₉(C₈×D₇) = C₄².₂₇₉D₁₄	central extension (φ=1)	448		C4.19(C8xD7)	448,11
C₄.₂₀(C₈×D₇) = C₁₆×Dic₇	central extension (φ=1)	448		C4.20(C8xD7)	448,57
C₄.₂₁(C₈×D₇) = C₁₁₂⋊₉C₄	central extension (φ=1)	448		C4.21(C8xD7)	448,59
C₄.₂₂(C₈×D₇) = C₄².₂₈₂D₁₄	central extension (φ=1)	224		C4.22(C8xD7)	448,219
C₄.₂₃(C₈×D₇) = D₇×C₂×C₁₆	central extension (φ=1)	224		C4.23(C8xD7)	448,433
C₄.₂₄(C₈×D₇) = C₂×C₁₆⋊D₇	central extension (φ=1)	224		C4.24(C8xD7)	448,434

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Extensions 1→N→G→Q→1 with N=C4 and Q=C8×D7

Extensions 1→N→G→Q→1 with N=C₄ and Q=C₈×D₇