Extensions 1→N→G→Q→1 with N=C₄ and Q=D₄.D₇

Direct product G=N×Q with N=C₄ and Q=D₄.D₇

		d	ρ	Label	ID
C₄×D₄.D₇		224		C4xD4.D7	448,551

Semidirect products G=N:Q with N=C₄ and Q=D₄.D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊₁(D₄.D₇) = C₂₈⋊₄SD₁₆	φ: D₄.D₇/C₇⋊C₈ → C₂ ⊆ Aut C₄	224		C4:1(D4.D7)	448,610
C₄⋊₂(D₄.D₇) = Dic₁₄⋊₉D₄	φ: D₄.D₇/Dic₁₄ → C₂ ⊆ Aut C₄	224		C4:2(D4.D7)	448,609
C₄⋊₃(D₄.D₇) = D₄.₂D₂₈	φ: D₄.D₇/C₇×D₄ → C₂ ⊆ Aut C₄	224		C4:3(D4.D7)	448,553

Non-split extensions G=N.Q with N=C₄ and Q=D₄.D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(D₄.D₇) = C₁₄.SD₃₂	φ: D₄.D₇/C₇⋊C₈ → C₂ ⊆ Aut C₄	224		C4.1(D4.D7)	448,119
C₄.₂(D₄.D₇) = C₁₄.Q₃₂	φ: D₄.D₇/C₇⋊C₈ → C₂ ⊆ Aut C₄	448		C4.2(D4.D7)	448,121
C₄.₃(D₄.D₇) = C₂₈.₁₆D₈	φ: D₄.D₇/C₇⋊C₈ → C₂ ⊆ Aut C₄	224		C4.3(D4.D7)	448,604
C₄.₄(D₄.D₇) = C₂₈.SD₁₆	φ: D₄.D₇/C₇⋊C₈ → C₂ ⊆ Aut C₄	448		C4.4(D4.D7)	448,613
C₄.₅(D₄.D₇) = C₂₈.₁₁Q₁₆	φ: D₄.D₇/C₇⋊C₈ → C₂ ⊆ Aut C₄	448		C4.5(D4.D7)	448,627
C₄.₆(D₄.D₇) = C₂₈.₉D₈	φ: D₄.D₇/Dic₁₄ → C₂ ⊆ Aut C₄	224		C4.6(D4.D7)	448,101
C₄.₇(D₄.D₇) = C₂₈.₁₀D₈	φ: D₄.D₇/Dic₁₄ → C₂ ⊆ Aut C₄	448		C4.7(D4.D7)	448,104
C₄.₈(D₄.D₇) = Dic₁₄⋊₆Q₈	φ: D₄.D₇/Dic₁₄ → C₂ ⊆ Aut C₄	448		C4.8(D4.D7)	448,628
C₄.₉(D₄.D₇) = C₄.Dic₂₈	φ: D₄.D₇/C₇×D₄ → C₂ ⊆ Aut C₄	448		C4.9(D4.D7)	448,38
C₄.₁₀(D₄.D₇) = C₂₈.₂D₈	φ: D₄.D₇/C₇×D₄ → C₂ ⊆ Aut C₄	448		C4.10(D4.D7)	448,43
C₄.₁₁(D₄.D₇) = C₈.Dic₁₄	φ: D₄.D₇/C₇×D₄ → C₂ ⊆ Aut C₄	112	4	C4.11(D4.D7)	448,51
C₄.₁₂(D₄.D₇) = D₈⋊₂Dic₇	φ: D₄.D₇/C₇×D₄ → C₂ ⊆ Aut C₄	112	4	C4.12(D4.D7)	448,123
C₄.₁₃(D₄.D₇) = C₂₈.₃₈SD₁₆	φ: D₄.D₇/C₇×D₄ → C₂ ⊆ Aut C₄	224		C4.13(D4.D7)	448,542
C₄.₁₄(D₄.D₇) = C₂₈.₃₉SD₁₆	central extension (φ=1)	448		C4.14(D4.D7)	448,37
C₄.₁₅(D₄.D₇) = Dic₁₄⋊₂C₈	central extension (φ=1)	448		C4.15(D4.D7)	448,41
C₄.₁₆(D₄.D₇) = C₂₈.₅₇D₈	central extension (φ=1)	224		C4.16(D4.D7)	448,91

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