Extensions 1→N→G→Q→1 with N=C₂xC₅₄ and Q=C₄

Direct product G=NxQ with N=C₂xC₅₄ and Q=C₄

		d	ρ	Label	ID
C₂²xC₁₀₈		432		C2^2xC108	432,53

Semidirect products G=N:Q with N=C₂xC₅₄ and Q=C₄

extension	φ:Q→Aut N	d	Label	ID
(C₂xC₅₄):₁C₄ = C₂²:C₄xC₂₇	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₅₄	216	(C2xC54):1C4	432,21
(C₂xC₅₄):₂C₄ = C₅₄.D₄	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₅₄	216	(C2xC54):2C4	432,19
(C₂xC₅₄):₃C₄ = C₂²xDic₂₇	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₅₄	432	(C2xC54):3C4	432,51

Non-split extensions G=N.Q with N=C₂xC₅₄ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
(C₂xC₅₄).₁C₄ = M₄(2)xC₂₇	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₅₄	216	2	(C2xC54).1C4	432,24
(C₂xC₅₄).₂C₄ = C₂xC₂₇:C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₅₄	432		(C2xC54).2C4	432,9
(C₂xC₅₄).₃C₄ = C₄.Dic₂₇	φ: C₄/C₂ → C₂ ⊆ Aut C₂xC₅₄	216	2	(C2xC54).3C4	432,10

Extensions 1→N→G→Q→1 with N=C2xC54 and Q=C4