Extensions 1→N→G→Q→1 with N=C₃ and Q=D₇₅

Direct product G=N×Q with N=C₃ and Q=D₇₅

		d	ρ	Label	ID
C₃×D₇₅		150	2	C3xD75	450,7

Semidirect products G=N:Q with N=C₃ and Q=D₇₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊D₇₅ = C₃⋊D₇₅	φ: D₇₅/C₇₅ → C₂ ⊆ Aut C₃	225		C3:D75	450,9

Non-split extensions G=N.Q with N=C₃ and Q=D₇₅

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.D₇₅ = D₂₂₅	φ: D₇₅/C₇₅ → C₂ ⊆ Aut C₃	225	2+	C3.D75	450,3

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C3 and Q=D75