Extensions 1→N→G→Q→1 with N=C₈ and Q=C₅₄

Direct product G=NxQ with N=C₈ and Q=C₅₄

		d	ρ	Label	ID
C₂xC₂₁₆		432		C2xC216	432,23

Semidirect products G=N:Q with N=C₈ and Q=C₅₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈:₁C₅₄ = D₈xC₂₇	φ: C₅₄/C₂₇ → C₂ ⊆ Aut C₈	216	2	C8:1C54	432,25
C₈:₂C₅₄ = SD₁₆xC₂₇	φ: C₅₄/C₂₇ → C₂ ⊆ Aut C₈	216	2	C8:2C54	432,26
C₈:₃C₅₄ = M₄(2)xC₂₇	φ: C₅₄/C₂₇ → C₂ ⊆ Aut C₈	216	2	C8:3C54	432,24

Non-split extensions G=N.Q with N=C₈ and Q=C₅₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₈.C₅₄ = Q₁₆xC₂₇	φ: C₅₄/C₂₇ → C₂ ⊆ Aut C₈	432	2	C8.C54	432,27

Extensions 1→N→G→Q→1 with N=C8 and Q=C54