Extensions 1→N→G→Q→1 with N=C₂×C₇₆ and Q=C₂

Direct product G=N×Q with N=C₂×C₇₆ and Q=C₂

		d	ρ	Label	ID
C₂²×C₇₆		304		C2^2xC76	304,37

Semidirect products G=N:Q with N=C₂×C₇₆ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₇₆)⋊₁C₂ = D₃₈⋊C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₇₆	152		(C2xC76):1C2	304,13
(C₂×C₇₆)⋊₂C₂ = C₂²⋊C₄×C₁₉	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₇₆	152		(C2xC76):2C2	304,20
(C₂×C₇₆)⋊₃C₂ = C₂×D₇₆	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₇₆	152		(C2xC76):3C2	304,29
(C₂×C₇₆)⋊₄C₂ = D₇₆⋊₅C₂	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₇₆	152	2	(C2xC76):4C2	304,30
(C₂×C₇₆)⋊₅C₂ = C₂×C₄×D₁₉	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₇₆	152		(C2xC76):5C2	304,28
(C₂×C₇₆)⋊₆C₂ = D₄×C₃₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₇₆	152		(C2xC76):6C2	304,38
(C₂×C₇₆)⋊₇C₂ = C₄○D₄×C₁₉	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₇₆	152	2	(C2xC76):7C2	304,40

Non-split extensions G=N.Q with N=C₂×C₇₆ and Q=C₂

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₇₆).₁C₂ = Dic₁₉⋊C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₇₆	304		(C2xC76).1C2	304,11
(C₂×C₇₆).₂C₂ = C₄⋊C₄×C₁₉	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₇₆	304		(C2xC76).2C2	304,21
(C₂×C₇₆).₃C₂ = C₇₆⋊C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₇₆	304		(C2xC76).3C2	304,12
(C₂×C₇₆).₄C₂ = C₂×Dic₃₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₇₆	304		(C2xC76).4C2	304,27
(C₂×C₇₆).₅C₂ = C₇₆.C₄	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₇₆	152	2	(C2xC76).5C2	304,9
(C₂×C₇₆).₆C₂ = C₂×C₁₉⋊C₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₇₆	304		(C2xC76).6C2	304,8
(C₂×C₇₆).₇C₂ = C₄×Dic₁₉	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₇₆	304		(C2xC76).7C2	304,10
(C₂×C₇₆).₈C₂ = M₄(2)×C₁₉	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₇₆	152	2	(C2xC76).8C2	304,23
(C₂×C₇₆).₉C₂ = Q₈×C₃₈	φ: C₂/C₁ → C₂ ⊆ Aut C₂×C₇₆	304		(C2xC76).9C2	304,39

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁