Extensions 1→N→G→Q→1 with N=C₃ and Q=Q₈.C₁₈

Direct product G=N×Q with N=C₃ and Q=Q₈.C₁₈

		d	ρ	Label	ID
C₃×Q₈.C₁₈		216		C3xQ8.C18	432,337

Semidirect products G=N:Q with N=C₃ and Q=Q₈.C₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃⋊(Q₈.C₁₈) = Q₈⋊C₉⋊₃S₃	φ: Q₈.C₁₈/Q₈⋊C₉ → C₂ ⊆ Aut C₃	144	4	C3:(Q8.C18)	432,267

Non-split extensions G=N.Q with N=C₃ and Q=Q₈.C₁₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃.(Q₈.C₁₈) = Q₈.C₅₄	central extension (φ=1)	216	2	C3.(Q8.C18)	432,42

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C3 and Q=Q8.C18