Extensions 1→N→G→Q→1 with N=C₂³ and Q=C₅₄

Direct product G=NxQ with N=C₂³ and Q=C₅₄

		d	ρ	Label	ID
C₂³xC₅₄		432		C2^3xC54	432,228

Semidirect products G=N:Q with N=C₂³ and Q=C₅₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³:C₅₄ = C₂²xC₉.A₄	φ: C₅₄/C₁₈ → C₃ ⊆ Aut C₂³	108		C2^3:C54	432,225
C₂³:₂C₅₄ = D₄xC₅₄	φ: C₅₄/C₂₇ → C₂ ⊆ Aut C₂³	216		C2^3:2C54	432,54

Non-split extensions G=N.Q with N=C₂³ and Q=C₅₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂³.C₅₄ = C₄xC₉.A₄	φ: C₅₄/C₁₈ → C₃ ⊆ Aut C₂³	108	3	C2^3.C54	432,40
C₂³.₂C₅₄ = C₂²:C₄xC₂₇	φ: C₅₄/C₂₇ → C₂ ⊆ Aut C₂³	216		C2^3.2C54	432,21

Extensions 1→N→G→Q→1 with N=C23 and Q=C54