Extensions 1→N→G→Q→1 with N=C₄ and Q=Dic₁₉

Direct product G=N×Q with N=C₄ and Q=Dic₁₉

		d	ρ	Label	ID
C₄×Dic₁₉		304		C4xDic19	304,10

Semidirect products G=N:Q with N=C₄ and Q=Dic₁₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊Dic₁₉ = C₇₆⋊C₄	φ: Dic₁₉/C₃₈ → C₂ ⊆ Aut C₄	304		C4:Dic19	304,12

Non-split extensions G=N.Q with N=C₄ and Q=Dic₁₉

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.Dic₁₉ = C₇₆.C₄	φ: Dic₁₉/C₃₈ → C₂ ⊆ Aut C₄	152	2	C4.Dic19	304,9
C₄.₂Dic₁₉ = C₁₉⋊C₁₆	central extension (φ=1)	304	2	C4.2Dic19	304,1
C₄.₃Dic₁₉ = C₂×C₁₉⋊C₈	central extension (φ=1)	304		C4.3Dic19	304,8

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C4 and Q=Dic19