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

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

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

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊(C₃×C₃⋊C₈) = C₃×A₄⋊C₈	φ: C₃×C₃⋊C₈/C₁₂ → S₃ ⊆ Aut C₂²	72	3	C2^2:(C3xC3:C8)	288,398
C₂²⋊₂(C₃×C₃⋊C₈) = A₄×C₃⋊C₈	φ: C₃×C₃⋊C₈/C₃⋊C₈ → C₃ ⊆ Aut C₂²	72	6	C2^2:2(C3xC3:C8)	288,408
C₂²⋊₃(C₃×C₃⋊C₈) = C₃×C₁₂.₅₅D₄	φ: C₃×C₃⋊C₈/C₃×C₁₂ → C₂ ⊆ Aut C₂²	48		C2^2:3(C3xC3:C8)	288,264

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₃×C₃⋊C₈) = C₃×C₁₂.C₈	φ: C₃×C₃⋊C₈/C₃×C₁₂ → C₂ ⊆ Aut C₂²	48	2	C2^2.(C3xC3:C8)	288,246
C₂².₂(C₃×C₃⋊C₈) = C₆×C₃⋊C₁₆	central extension (φ=1)	96		C2^2.2(C3xC3:C8)	288,245

⋊

ℤ

𝔽

○

≀

ℚ

◁

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