Extensions 1→N→G→Q→1 with N=C₄ and Q=C₁₉⋊C₆

Direct product G=N×Q with N=C₄ and Q=C₁₉⋊C₆

		d	ρ	Label	ID
C₄×C₁₉⋊C₆		76	6	C4xC19:C6	456,8

Semidirect products G=N:Q with N=C₄ and Q=C₁₉⋊C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄⋊(C₁₉⋊C₆) = D₇₆⋊C₃	φ: C₁₉⋊C₆/C₁₉⋊C₃ → C₂ ⊆ Aut C₄	76	6+	C4:(C19:C6)	456,9

Non-split extensions G=N.Q with N=C₄ and Q=C₁₉⋊C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.(C₁₉⋊C₆) = Dic₃₈⋊C₃	φ: C₁₉⋊C₆/C₁₉⋊C₃ → C₂ ⊆ Aut C₄	152	6-	C4.(C19:C6)	456,7
C₄.₂(C₁₉⋊C₆) = C₁₉⋊C₂₄	central extension (φ=1)	152	6	C4.2(C19:C6)	456,1

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C4 and Q=C19⋊C6