Extensions 1→N→G→Q→1 with N=C₄ and Q=C₄×Dic₇

Direct product G=N×Q with N=C₄ and Q=C₄×Dic₇

		d	ρ	Label	ID
C₄²×Dic₇		448		C4^2xDic7	448,464

Semidirect products G=N:Q with N=C₄ and Q=C₄×Dic₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊₁(C₄×Dic₇) = C₄⋊C₄×Dic₇	φ: C₄×Dic₇/C₂×Dic₇ → C₂ ⊆ Aut C₄	448		C4:1(C4xDic7)	448,509
C₄⋊₂(C₄×Dic₇) = C₄×C₄⋊Dic₇	φ: C₄×Dic₇/C₂×C₂₈ → C₂ ⊆ Aut C₄	448		C4:2(C4xDic7)	448,468

Non-split extensions G=N.Q with N=C₄ and Q=C₄×Dic₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(C₄×Dic₇) = C₂₈.C₄²	φ: C₄×Dic₇/C₂×Dic₇ → C₂ ⊆ Aut C₄	448		C4.1(C4xDic7)	448,86
C₄.₂(C₄×Dic₇) = C₂₈.₂C₄²	φ: C₄×Dic₇/C₂×Dic₇ → C₂ ⊆ Aut C₄	112		C4.2(C4xDic7)	448,89
C₄.₃(C₄×Dic₇) = C₂₈.₃C₄²	φ: C₄×Dic₇/C₂×Dic₇ → C₂ ⊆ Aut C₄	112		C4.3(C4xDic7)	448,112
C₄.₄(C₄×Dic₇) = C₂₈.₄C₄²	φ: C₄×Dic₇/C₂×Dic₇ → C₂ ⊆ Aut C₄	224		C4.4(C4xDic7)	448,115
C₄.₅(C₄×Dic₇) = C₂₈.₅C₄²	φ: C₄×Dic₇/C₂×Dic₇ → C₂ ⊆ Aut C₄	224		C4.5(C4xDic7)	448,531
C₄.₆(C₄×Dic₇) = M₄(2)×Dic₇	φ: C₄×Dic₇/C₂×Dic₇ → C₂ ⊆ Aut C₄	224		C4.6(C4xDic7)	448,651
C₄.₇(C₄×Dic₇) = C₂₈.₇C₄²	φ: C₄×Dic₇/C₂×Dic₇ → C₂ ⊆ Aut C₄	224		C4.7(C4xDic7)	448,656
C₄.₈(C₄×Dic₇) = C₂₈.₈C₄²	φ: C₄×Dic₇/C₂×C₂₈ → C₂ ⊆ Aut C₄	112		C4.8(C4xDic7)	448,80
C₄.₉(C₄×Dic₇) = C₂₈.₉C₄²	φ: C₄×Dic₇/C₂×C₂₈ → C₂ ⊆ Aut C₄	448		C4.9(C4xDic7)	448,108
C₄.₁₀(C₄×Dic₇) = C₂₈.₁₀C₄²	φ: C₄×Dic₇/C₂×C₂₈ → C₂ ⊆ Aut C₄	224		C4.10(C4xDic7)	448,109
C₄.₁₁(C₄×Dic₇) = C₄×C₄.Dic₇	φ: C₄×Dic₇/C₂×C₂₈ → C₂ ⊆ Aut C₄	224		C4.11(C4xDic7)	448,456
C₄.₁₂(C₄×Dic₇) = C₂₈.₁₂C₄²	φ: C₄×Dic₇/C₂×C₂₈ → C₂ ⊆ Aut C₄	224		C4.12(C4xDic7)	448,635
C₄.₁₃(C₄×Dic₇) = C₄×C₇⋊C₁₆	central extension (φ=1)	448		C4.13(C4xDic7)	448,17
C₄.₁₄(C₄×Dic₇) = C₅₆.C₈	central extension (φ=1)	448		C4.14(C4xDic7)	448,18
C₄.₁₅(C₄×Dic₇) = C₁₆×Dic₇	central extension (φ=1)	448		C4.15(C4xDic7)	448,57
C₄.₁₆(C₄×Dic₇) = C₁₁₂⋊₉C₄	central extension (φ=1)	448		C4.16(C4xDic7)	448,59
C₄.₁₇(C₄×Dic₇) = C₂×C₄×C₇⋊C₈	central extension (φ=1)	448		C4.17(C4xDic7)	448,454
C₄.₁₈(C₄×Dic₇) = C₂×C₄².D₇	central extension (φ=1)	448		C4.18(C4xDic7)	448,455
C₄.₁₉(C₄×Dic₇) = C₄²⋊₄Dic₇	central extension (φ=1)	448		C4.19(C4xDic7)	448,466
C₄.₂₀(C₄×Dic₇) = C₂×C₈×Dic₇	central extension (φ=1)	448		C4.20(C4xDic7)	448,632
C₄.₂₁(C₄×Dic₇) = C₂×C₅₆⋊C₄	central extension (φ=1)	448		C4.21(C4xDic7)	448,634
C₄.₂₂(C₄×Dic₇) = C₂₈.₁₅C₄²	central stem extension (φ=1)	112	4	C4.22(C4xDic7)	448,23
C₄.₂₃(C₄×Dic₇) = C₁₁₂⋊C₄	central stem extension (φ=1)	112	4	C4.23(C4xDic7)	448,69
C₄.₂₄(C₄×Dic₇) = C₄²⋊Dic₇	central stem extension (φ=1)	112	4	C4.24(C4xDic7)	448,88
C₄.₂₅(C₄×Dic₇) = C₂³.₉D₂₈	central stem extension (φ=1)	112	4	C4.25(C4xDic7)	448,114
C₄.₂₆(C₄×Dic₇) = C₂₈.₂₁C₄²	central stem extension (φ=1)	112	4	C4.26(C4xDic7)	448,117

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Extensions 1→N→G→Q→1 with N=C4 and Q=C4×Dic7

Extensions 1→N→G→Q→1 with N=C₄ and Q=C₄×Dic₇