Extensions 1→N→G→Q→1 with N=C₅×D₅ and Q=C₆

Direct product G=N×Q with N=C₅×D₅ and Q=C₆

		d	ρ	Label	ID
D₅×C₃₀		60	2	D5xC30	300,44

Semidirect products G=N:Q with N=C₅×D₅ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×D₅)⋊C₆ = C₃×D₅²	φ: C₆/C₃ → C₂ ⊆ Out C₅×D₅	30	4	(C5xD5):C6	300,36

Non-split extensions G=N.Q with N=C₅×D₅ and Q=C₆

extension	φ:Q→Out N	d	ρ	Label	ID
(C₅×D₅).₁C₆ = C₁₅×F₅	φ: C₆/C₃ → C₂ ⊆ Out C₅×D₅	60	4	(C5xD5).1C6	300,28
(C₅×D₅).₂C₆ = C₃×D₅.D₅	φ: C₆/C₃ → C₂ ⊆ Out C₅×D₅	60	4	(C5xD5).2C6	300,29

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C5×D5 and Q=C6