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

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

		d	ρ	Label	ID
C₄×D₄×D₇		112		C4xD4xD7	448,997

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

extension	φ:Q→Out N	d	Label	ID
(C₄×D₄)⋊₁D₇ = C₄×D₄⋊D₇	φ: D₇/C₇ → C₂ ⊆ Out C₄×D₄	224	(C4xD4):1D7	448,547
(C₄×D₄)⋊₂D₇ = C₄².₄₈D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄×D₄	224	(C4xD4):2D7	448,548
(C₄×D₄)⋊₃D₇ = C₂₈⋊₇D₈	φ: D₇/C₇ → C₂ ⊆ Out C₄×D₄	224	(C4xD4):3D7	448,549
(C₄×D₄)⋊₄D₇ = D₄.₁D₂₈	φ: D₇/C₇ → C₂ ⊆ Out C₄×D₄	224	(C4xD4):4D7	448,550
(C₄×D₄)⋊₅D₇ = C₄².₁₀₂D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄×D₄	224	(C4xD4):5D7	448,991
(C₄×D₄)⋊₆D₇ = C₄².₁₀₄D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄×D₄	224	(C4xD4):6D7	448,993
(C₄×D₄)⋊₇D₇ = C₄²⋊₁₁D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄×D₄	112	(C4xD4):7D7	448,998
(C₄×D₄)⋊₈D₇ = C₄².₁₀₈D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄×D₄	224	(C4xD4):8D7	448,999
(C₄×D₄)⋊₉D₇ = C₄²⋊₁₂D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄×D₄	112	(C4xD4):9D7	448,1000
(C₄×D₄)⋊₁₀D₇ = C₄².₂₂₈D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄×D₄	224	(C4xD4):10D7	448,1001
(C₄×D₄)⋊₁₁D₇ = D₄×D₂₈	φ: D₇/C₇ → C₂ ⊆ Out C₄×D₄	112	(C4xD4):11D7	448,1002
(C₄×D₄)⋊₁₂D₇ = D₂₈⋊₂₃D₄	φ: D₇/C₇ → C₂ ⊆ Out C₄×D₄	112	(C4xD4):12D7	448,1003
(C₄×D₄)⋊₁₃D₇ = D₂₈⋊₂₄D₄	φ: D₇/C₇ → C₂ ⊆ Out C₄×D₄	224	(C4xD4):13D7	448,1004
(C₄×D₄)⋊₁₄D₇ = Dic₁₄⋊₂₃D₄	φ: D₇/C₇ → C₂ ⊆ Out C₄×D₄	224	(C4xD4):14D7	448,1005
(C₄×D₄)⋊₁₅D₇ = Dic₁₄⋊₂₄D₄	φ: D₇/C₇ → C₂ ⊆ Out C₄×D₄	224	(C4xD4):15D7	448,1006
(C₄×D₄)⋊₁₆D₇ = D₄⋊₅D₂₈	φ: D₇/C₇ → C₂ ⊆ Out C₄×D₄	112	(C4xD4):16D7	448,1007
(C₄×D₄)⋊₁₇D₇ = D₄⋊₆D₂₈	φ: D₇/C₇ → C₂ ⊆ Out C₄×D₄	224	(C4xD4):17D7	448,1008
(C₄×D₄)⋊₁₈D₇ = C₄²⋊₁₆D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄×D₄	112	(C4xD4):18D7	448,1009
(C₄×D₄)⋊₁₉D₇ = C₄².₂₂₉D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄×D₄	224	(C4xD4):19D7	448,1010
(C₄×D₄)⋊₂₀D₇ = C₄².₁₁₃D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄×D₄	224	(C4xD4):20D7	448,1011
(C₄×D₄)⋊₂₁D₇ = C₄².₁₁₄D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄×D₄	224	(C4xD4):21D7	448,1012
(C₄×D₄)⋊₂₂D₇ = C₄²⋊₁₇D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄×D₄	112	(C4xD4):22D7	448,1013
(C₄×D₄)⋊₂₃D₇ = C₄².₁₁₅D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄×D₄	224	(C4xD4):23D7	448,1014
(C₄×D₄)⋊₂₄D₇ = C₄².₁₁₆D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄×D₄	224	(C4xD4):24D7	448,1015
(C₄×D₄)⋊₂₅D₇ = C₄².₁₁₇D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄×D₄	224	(C4xD4):25D7	448,1016
(C₄×D₄)⋊₂₆D₇ = C₄².₁₁₈D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄×D₄	224	(C4xD4):26D7	448,1017
(C₄×D₄)⋊₂₇D₇ = C₄².₁₁₉D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄×D₄	224	(C4xD4):27D7	448,1018
(C₄×D₄)⋊₂₈D₇ = C₄×D₄⋊₂D₇	φ: trivial image	224	(C4xD4):28D7	448,989

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

extension	φ:Q→Out N	d	Label	ID
(C₄×D₄).₁D₇ = C₂₈.₅₇D₈	φ: D₇/C₇ → C₂ ⊆ Out C₄×D₄	224	(C4xD4).1D7	448,91
(C₄×D₄).₂D₇ = C₂₈.₅₀D₈	φ: D₇/C₇ → C₂ ⊆ Out C₄×D₄	224	(C4xD4).2D7	448,541
(C₄×D₄).₃D₇ = C₂₈.₃₈SD₁₆	φ: D₇/C₇ → C₂ ⊆ Out C₄×D₄	224	(C4xD4).3D7	448,542
(C₄×D₄).₄D₇ = D₄.₃Dic₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄×D₄	224	(C4xD4).4D7	448,543
(C₄×D₄).₅D₇ = C₄².₄₇D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄×D₄	224	(C4xD4).5D7	448,545
(C₄×D₄).₆D₇ = C₂₈⋊₃M₄(2)	φ: D₇/C₇ → C₂ ⊆ Out C₄×D₄	224	(C4xD4).6D7	448,546
(C₄×D₄).₇D₇ = C₄×D₄.D₇	φ: D₇/C₇ → C₂ ⊆ Out C₄×D₄	224	(C4xD4).7D7	448,551
(C₄×D₄).₈D₇ = C₄².₅₁D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄×D₄	224	(C4xD4).8D7	448,552
(C₄×D₄).₉D₇ = D₄.₂D₂₈	φ: D₇/C₇ → C₂ ⊆ Out C₄×D₄	224	(C4xD4).9D7	448,553
(C₄×D₄).₁₀D₇ = D₄×Dic₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄×D₄	224	(C4xD4).10D7	448,990
(C₄×D₄).₁₁D₇ = D₄⋊₅Dic₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄×D₄	224	(C4xD4).11D7	448,992
(C₄×D₄).₁₂D₇ = C₄².₁₀₅D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄×D₄	224	(C4xD4).12D7	448,994
(C₄×D₄).₁₃D₇ = C₄².₁₀₆D₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄×D₄	224	(C4xD4).13D7	448,995
(C₄×D₄).₁₄D₇ = D₄⋊₆Dic₁₄	φ: D₇/C₇ → C₂ ⊆ Out C₄×D₄	224	(C4xD4).14D7	448,996
(C₄×D₄).₁₅D₇ = D₄×C₇⋊C₈	φ: trivial image	224	(C4xD4).15D7	448,544

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

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