Extensions 1→N→G→Q→1 with N=C₂×C₁₉⋊C₆ and Q=C₂

Direct product G=N×Q with N=C₂×C₁₉⋊C₆ and Q=C₂

		d	ρ	Label	ID
C₂²×C₁₉⋊C₆		76		C2^2xC19:C6	456,44

Semidirect products G=N:Q with N=C₂×C₁₉⋊C₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₁₉⋊C₆)⋊₁C₂ = D₇₆⋊C₃	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₁₉⋊C₆	76	6+	(C2xC19:C6):1C2	456,9
(C₂×C₁₉⋊C₆)⋊₂C₂ = D₃₈⋊C₆	φ: C₂/C₁ → C₂ ⊆ Out C₂×C₁₉⋊C₆	76	6	(C2xC19:C6):2C2	456,11

Non-split extensions G=N.Q with N=C₂×C₁₉⋊C₆ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×C₁₉⋊C₆).C₂ = C₄×C₁₉⋊C₆	φ: trivial image	76	6	(C2xC19:C6).C2	456,8

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C2×C19⋊C6 and Q=C2