Extensions 1→N→G→Q→1 with N=C₃ and Q=C₂²×C₃⋊C₈

Direct product G=N×Q with N=C₃ and Q=C₂²×C₃⋊C₈

		d	ρ	Label	ID
C₂×C₆×C₃⋊C₈		96		C2xC6xC3:C8	288,691

Semidirect products G=N:Q with N=C₃ and Q=C₂²×C₃⋊C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊₁(C₂²×C₃⋊C₈) = C₂×S₃×C₃⋊C₈	φ: C₂²×C₃⋊C₈/C₂×C₃⋊C₈ → C₂ ⊆ Aut C₃	96		C3:1(C2^2xC3:C8)	288,460
C₃⋊₂(C₂²×C₃⋊C₈) = C₂²×C₃²⋊₄C₈	φ: C₂²×C₃⋊C₈/C₂²×C₁₂ → C₂ ⊆ Aut C₃	288		C3:2(C2^2xC3:C8)	288,777

Non-split extensions G=N.Q with N=C₃ and Q=C₂²×C₃⋊C₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(C₂²×C₃⋊C₈) = C₂²×C₉⋊C₈	φ: C₂²×C₃⋊C₈/C₂²×C₁₂ → C₂ ⊆ Aut C₃	288		C3.(C2^2xC3:C8)	288,130

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C3 and Q=C22×C3⋊C8