Extensions 1→N→G→Q→1 with N=C₂² and Q=C₂xC₅₄

Direct product G=NxQ with N=C₂² and Q=C₂xC₅₄

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

Semidirect products G=N:Q with N=C₂² and Q=C₂xC₅₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²:(C₂xC₅₄) = C₂²xC₉.A₄	φ: C₂xC₅₄/C₂xC₁₈ → C₃ ⊆ Aut C₂²	108		C2^2:(C2xC54)	432,225
C₂²:₂(C₂xC₅₄) = D₄xC₅₄	φ: C₂xC₅₄/C₅₄ → C₂ ⊆ Aut C₂²	216		C2^2:2(C2xC54)	432,54

Non-split extensions G=N.Q with N=C₂² and Q=C₂xC₅₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².(C₂xC₅₄) = C₄oD₄xC₂₇	φ: C₂xC₅₄/C₅₄ → C₂ ⊆ Aut C₂²	216	2	C2^2.(C2xC54)	432,56
C₂².₂(C₂xC₅₄) = C₂²:C₄xC₂₇	central extension (φ=1)	216		C2^2.2(C2xC54)	432,21
C₂².₃(C₂xC₅₄) = C₄:C₄xC₂₇	central extension (φ=1)	432		C2^2.3(C2xC54)	432,22
C₂².₄(C₂xC₅₄) = Q₈xC₅₄	central extension (φ=1)	432		C2^2.4(C2xC54)	432,55

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