Extensions 1→N→G→Q→1 with N=C₄²⋊C₂ and Q=D₇

Direct product G=N×Q with N=C₄²⋊C₂ and Q=D₇

		d	ρ	Label	ID
D₇×C₄²⋊C₂		112		D7xC4^2:C2	448,973

Semidirect products G=N:Q with N=C₄²⋊C₂ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
C₄²⋊C₂⋊₁D₇ = C₄⋊C₄⋊₃₆D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄²⋊C₂	112		C4^2:C2:1D7	448,535
C₄²⋊C₂⋊₂D₇ = C₄.(C₂×D₂₈)	φ: D₇/C₇ → C₂ ⊆ Out C₄²⋊C₂	224		C4^2:C2:2D7	448,536
C₄²⋊C₂⋊₃D₇ = C₄⋊C₄.₂₃₆D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄²⋊C₂	224		C4^2:C2:3D7	448,537
C₄²⋊C₂⋊₄D₇ = C₄²⋊₄D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄²⋊C₂	112	4	C4^2:C2:4D7	448,539
C₄²⋊C₂⋊₅D₇ = (C₂×D₂₈)⋊₁₃C₄	φ: D₇/C₇ → C₂ ⊆ Out C₄²⋊C₂	112	4	C4^2:C2:5D7	448,540
C₄²⋊C₂⋊₆D₇ = C₄²⋊₇D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄²⋊C₂	112		C4^2:C2:6D7	448,974
C₄²⋊C₂⋊₇D₇ = C₄².₉₁D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄²⋊C₂	224		C4^2:C2:7D7	448,976
C₄²⋊C₂⋊₈D₇ = C₄²⋊₈D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄²⋊C₂	112		C4^2:C2:8D7	448,977
C₄²⋊C₂⋊₉D₇ = C₄²⋊₉D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄²⋊C₂	112		C4^2:C2:9D7	448,978
C₄²⋊C₂⋊₁₀D₇ = C₄².₉₂D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄²⋊C₂	224		C4^2:C2:10D7	448,979
C₄²⋊C₂⋊₁₁D₇ = C₄²⋊₁₀D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄²⋊C₂	112		C4^2:C2:11D7	448,980
C₄²⋊C₂⋊₁₂D₇ = C₄².₉₃D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄²⋊C₂	224		C4^2:C2:12D7	448,981
C₄²⋊C₂⋊₁₃D₇ = C₄².₉₄D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄²⋊C₂	224		C4^2:C2:13D7	448,982
C₄²⋊C₂⋊₁₄D₇ = C₄².₉₅D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄²⋊C₂	224		C4^2:C2:14D7	448,983
C₄²⋊C₂⋊₁₅D₇ = C₄².₉₆D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄²⋊C₂	224		C4^2:C2:15D7	448,984
C₄²⋊C₂⋊₁₆D₇ = C₄².₉₇D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄²⋊C₂	224		C4^2:C2:16D7	448,985
C₄²⋊C₂⋊₁₇D₇ = C₄².₉₈D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄²⋊C₂	224		C4^2:C2:17D7	448,986
C₄²⋊C₂⋊₁₈D₇ = C₄².₉₉D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄²⋊C₂	224		C4^2:C2:18D7	448,987
C₄²⋊C₂⋊₁₉D₇ = C₄².₁₀₀D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄²⋊C₂	224		C4^2:C2:19D7	448,988
C₄²⋊C₂⋊₂₀D₇ = C₄².₁₈₈D₁₄	φ: trivial image	224		C4^2:C2:20D7	448,975

Non-split extensions G=N.Q with N=C₄²⋊C₂ and Q=D₇

extension	φ:Q→Out N	d	ρ	Label	ID
C₄²⋊C₂.₁D₇ = C₄²⋊Dic₇	φ: D₇/C₇ → C₂ ⊆ Out C₄²⋊C₂	112	4	C4^2:C2.1D7	448,88
C₄²⋊C₂.₂D₇ = C₂₈.₂C₄²	φ: D₇/C₇ → C₂ ⊆ Out C₄²⋊C₂	112		C4^2:C2.2D7	448,89
C₄²⋊C₂.₃D₇ = (C₂×C₂₈).Q₈	φ: D₇/C₇ → C₂ ⊆ Out C₄²⋊C₂	112	4	C4^2:C2.3D7	448,90
C₄²⋊C₂.₄D₇ = C₂₈.(C₂×Q₈)	φ: D₇/C₇ → C₂ ⊆ Out C₄²⋊C₂	224		C4^2:C2.4D7	448,529
C₄²⋊C₂.₅D₇ = C₄⋊C₄.₂₃₃D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄²⋊C₂	224		C4^2:C2.5D7	448,530
C₄²⋊C₂.₆D₇ = C₂₈.₄₅(C₄⋊C₄)	φ: D₇/C₇ → C₂ ⊆ Out C₄²⋊C₂	224		C4^2:C2.6D7	448,532
C₄²⋊C₂.₇D₇ = C₄².₄₃D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄²⋊C₂	224		C4^2:C2.7D7	448,533
C₄²⋊C₂.₈D₇ = C₄².₁₈₇D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄²⋊C₂	224		C4^2:C2.8D7	448,534
C₄²⋊C₂.₉D₇ = (C₂×C₄).₄₇D₂₈	φ: D₇/C₇ → C₂ ⊆ Out C₄²⋊C₂	224		C4^2:C2.9D7	448,538
C₄²⋊C₂.₁₀D₇ = C₄².₈₇D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄²⋊C₂	224		C4^2:C2.10D7	448,969
C₄²⋊C₂.₁₁D₇ = C₄².₈₈D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄²⋊C₂	224		C4^2:C2.11D7	448,970
C₄²⋊C₂.₁₂D₇ = C₄².₈₉D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄²⋊C₂	224		C4^2:C2.12D7	448,971
C₄²⋊C₂.₁₃D₇ = C₄².₉₀D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄²⋊C₂	224		C4^2:C2.13D7	448,972
C₄²⋊C₂.₁₄D₇ = C₂₈.₅C₄²	φ: trivial image	224		C4^2:C2.14D7	448,531

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Extensions 1→N→G→Q→1 with N=C42⋊C2 and Q=D7

Extensions 1→N→G→Q→1 with N=C₄²⋊C₂ and Q=D₇