Extensions 1→N→G→Q→1 with N=C₂×C₄ and Q=D₁₉

Direct product G=N×Q with N=C₂×C₄ and Q=D₁₉

		d	ρ	Label	ID
C₂×C₄×D₁₉		152		C2xC4xD19	304,28

Semidirect products G=N:Q with N=C₂×C₄ and Q=D₁₉

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄)⋊₁D₁₉ = D₃₈⋊C₄	φ: D₁₉/C₁₉ → C₂ ⊆ Aut C₂×C₄	152		(C2xC4):1D19	304,13
(C₂×C₄)⋊₂D₁₉ = C₂×D₇₆	φ: D₁₉/C₁₉ → C₂ ⊆ Aut C₂×C₄	152		(C2xC4):2D19	304,29
(C₂×C₄)⋊₃D₁₉ = D₇₆⋊₅C₂	φ: D₁₉/C₁₉ → C₂ ⊆ Aut C₂×C₄	152	2	(C2xC4):3D19	304,30

Non-split extensions G=N.Q with N=C₂×C₄ and Q=D₁₉

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂×C₄).₁D₁₉ = Dic₁₉⋊C₄	φ: D₁₉/C₁₉ → C₂ ⊆ Aut C₂×C₄	304		(C2xC4).1D19	304,11
(C₂×C₄).₂D₁₉ = C₇₆.C₄	φ: D₁₉/C₁₉ → C₂ ⊆ Aut C₂×C₄	152	2	(C2xC4).2D19	304,9
(C₂×C₄).₃D₁₉ = C₇₆⋊C₄	φ: D₁₉/C₁₉ → C₂ ⊆ Aut C₂×C₄	304		(C2xC4).3D19	304,12
(C₂×C₄).₄D₁₉ = C₂×Dic₃₈	φ: D₁₉/C₁₉ → C₂ ⊆ Aut C₂×C₄	304		(C2xC4).4D19	304,27
(C₂×C₄).₅D₁₉ = C₂×C₁₉⋊C₈	central extension (φ=1)	304		(C2xC4).5D19	304,8
(C₂×C₄).₆D₁₉ = C₄×Dic₁₉	central extension (φ=1)	304		(C2xC4).6D19	304,10

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁