Extensions 1→N→G→Q→1 with N=C₂×He₃ and Q=C₉

Direct product G=N×Q with N=C₂×He₃ and Q=C₉

		d	ρ	Label	ID
C₁₈×He₃		162		C18xHe3	486,194

Semidirect products G=N:Q with N=C₂×He₃ and Q=C₉

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×He₃)⋊C₉ = C₂×He₃⋊C₉	φ: C₉/C₃ → C₃ ⊆ Out C₂×He₃	162		(C2xHe3):C9	486,77

Non-split extensions G=N.Q with N=C₂×He₃ and Q=C₉

extension	φ:Q→Out N	d	ρ	Label	ID
(C₂×He₃).₁C₉ = C₂×C₉.₅He₃	φ: C₉/C₃ → C₃ ⊆ Out C₂×He₃	162	3	(C2xHe3).1C9	486,79
(C₂×He₃).₂C₉ = C₂×C₉.₆He₃	φ: C₉/C₃ → C₃ ⊆ Out C₂×He₃	162	3	(C2xHe3).2C9	486,80
(C₂×He₃).₃C₉ = C₂×C₂₇○He₃	φ: trivial image	162	3	(C2xHe3).3C9	486,209

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C2×He3 and Q=C9