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
C₄×C₈⋊D₇		224		C4xC8:D7	448,221

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊₁(C₈⋊D₇) = C₂₈⋊₂M₄(2)	φ: C₈⋊D₇/C₇⋊C₈ → C₂ ⊆ Aut C₄	224		C4:1(C8:D7)	448,372
C₄⋊₂(C₈⋊D₇) = C₈⋊₆D₂₈	φ: C₈⋊D₇/C₅₆ → C₂ ⊆ Aut C₄	224		C4:2(C8:D7)	448,222
C₄⋊₃(C₈⋊D₇) = C₂₈⋊M₄(2)	φ: C₈⋊D₇/C₄×D₇ → C₂ ⊆ Aut C₄	224		C4:3(C8:D7)	448,371

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(C8:D7)	448,40
C₄.₂(C₈⋊D₇) = Dic₁₄⋊₂C₈	φ: C₈⋊D₇/C₇⋊C₈ → C₂ ⊆ Aut C₄	448		C4.2(C8:D7)	448,41
C₄.₃(C₈⋊D₇) = C₂₈.M₄(2)	φ: C₈⋊D₇/C₇⋊C₈ → C₂ ⊆ Aut C₄	448		C4.3(C8:D7)	448,365
C₄.₄(C₈⋊D₇) = C₄.₈Dic₂₈	φ: C₈⋊D₇/C₅₆ → C₂ ⊆ Aut C₄	448		C4.4(C8:D7)	448,13
C₄.₅(C₈⋊D₇) = C₄.₁₇D₅₆	φ: C₈⋊D₇/C₅₆ → C₂ ⊆ Aut C₄	224		C4.5(C8:D7)	448,16
C₄.₆(C₈⋊D₇) = C₅₆⋊₁₁Q₈	φ: C₈⋊D₇/C₅₆ → C₂ ⊆ Aut C₄	448		C4.6(C8:D7)	448,213
C₄.₇(C₈⋊D₇) = C₂₈.₅₃D₈	φ: C₈⋊D₇/C₄×D₇ → C₂ ⊆ Aut C₄	448		C4.7(C8:D7)	448,36
C₄.₈(C₈⋊D₇) = C₂₈.₃₉SD₁₆	φ: C₈⋊D₇/C₄×D₇ → C₂ ⊆ Aut C₄	448		C4.8(C8:D7)	448,37
C₄.₉(C₈⋊D₇) = C₁₁₂⋊C₄	φ: C₈⋊D₇/C₄×D₇ → C₂ ⊆ Aut C₄	112	4	C4.9(C8:D7)	448,69
C₄.₁₀(C₈⋊D₇) = M₅(2)⋊D₇	φ: C₈⋊D₇/C₄×D₇ → C₂ ⊆ Aut C₄	112	4	C4.10(C8:D7)	448,71
C₄.₁₁(C₈⋊D₇) = C₄².₂₀₂D₁₄	φ: C₈⋊D₇/C₄×D₇ → C₂ ⊆ Aut C₄	224		C4.11(C8:D7)	448,369
C₄.₁₂(C₈⋊D₇) = C₄².₂₇₉D₁₄	central extension (φ=1)	448		C4.12(C8:D7)	448,11
C₄.₁₃(C₈⋊D₇) = C₅₆⋊C₈	central extension (φ=1)	448		C4.13(C8:D7)	448,12
C₄.₁₄(C₈⋊D₇) = Dic₇⋊C₁₆	central extension (φ=1)	448		C4.14(C8:D7)	448,58
C₄.₁₅(C₈⋊D₇) = D₁₄⋊C₁₆	central extension (φ=1)	224		C4.15(C8:D7)	448,64
C₄.₁₆(C₈⋊D₇) = C₄².₂₈₂D₁₄	central extension (φ=1)	224		C4.16(C8:D7)	448,219

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