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

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

		d	ρ	Label	ID
D₇×C₄²		112		D7xC4^2	224,66

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×D₇)⋊₁C₄ = D₇×C₄⋊C₄	φ: C₄/C₂ → C₂ ⊆ Out C₄×D₇	112		(C4xD7):1C4	224,86
(C₄×D₇)⋊₂C₄ = C₄⋊C₄⋊₇D₇	φ: C₄/C₂ → C₂ ⊆ Out C₄×D₇	112		(C4xD7):2C4	224,87
(C₄×D₇)⋊₃C₄ = C₄²⋊D₇	φ: C₄/C₂ → C₂ ⊆ Out C₄×D₇	112		(C4xD7):3C4	224,67

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

extension	φ:Q→Out N	d	ρ	Label	ID
(C₄×D₇).₁C₄ = D₇×M₄(2)	φ: C₄/C₂ → C₂ ⊆ Out C₄×D₇	56	4	(C4xD7).1C4	224,101
(C₄×D₇).₂C₄ = C₁₆⋊D₇	φ: C₄/C₂ → C₂ ⊆ Out C₄×D₇	112	2	(C4xD7).2C4	224,4
(C₄×D₇).₃C₄ = C₂×C₈⋊D₇	φ: C₄/C₂ → C₂ ⊆ Out C₄×D₇	112		(C4xD7).3C4	224,95
(C₄×D₇).₄C₄ = D₇×C₁₆	φ: trivial image	112	2	(C4xD7).4C4	224,3
(C₄×D₇).₅C₄ = D₇×C₂×C₈	φ: trivial image	112		(C4xD7).5C4	224,94

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁