Extensions 1→N→G→Q→1 with N=C₂² and Q=C₂xC₂₈

Direct product G=NxQ with N=C₂² and Q=C₂xC₂₈

		d	ρ	Label	ID
C₂³xC₂₈		224		C2^3xC28	224,189

Semidirect products G=N:Q with N=C₂² and Q=C₂xC₂₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²:₁(C₂xC₂₈) = D₄xC₂₈	φ: C₂xC₂₈/C₂₈ → C₂ ⊆ Aut C₂²	112		C2^2:1(C2xC28)	224,153
C₂²:₂(C₂xC₂₈) = C₁₄xC₂²:C₄	φ: C₂xC₂₈/C₂xC₁₄ → C₂ ⊆ Aut C₂²	112		C2^2:2(C2xC28)	224,150

Non-split extensions G=N.Q with N=C₂² and Q=C₂xC₂₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁(C₂xC₂₈) = C₇xC₈oD₄	φ: C₂xC₂₈/C₂₈ → C₂ ⊆ Aut C₂²	112	2	C2^2.1(C2xC28)	224,166
C₂².₂(C₂xC₂₈) = C₇xC₂³:C₄	φ: C₂xC₂₈/C₂xC₁₄ → C₂ ⊆ Aut C₂²	56	4	C2^2.2(C2xC28)	224,48
C₂².₃(C₂xC₂₈) = C₇xC₄.D₄	φ: C₂xC₂₈/C₂xC₁₄ → C₂ ⊆ Aut C₂²	56	4	C2^2.3(C2xC28)	224,49
C₂².₄(C₂xC₂₈) = C₇xC₄.₁₀D₄	φ: C₂xC₂₈/C₂xC₁₄ → C₂ ⊆ Aut C₂²	112	4	C2^2.4(C2xC28)	224,50
C₂².₅(C₂xC₂₈) = C₇xC₄²:C₂	φ: C₂xC₂₈/C₂xC₁₄ → C₂ ⊆ Aut C₂²	112		C2^2.5(C2xC28)	224,152
C₂².₆(C₂xC₂₈) = C₁₄xM₄(2)	φ: C₂xC₂₈/C₂xC₁₄ → C₂ ⊆ Aut C₂²	112		C2^2.6(C2xC28)	224,165
C₂².₇(C₂xC₂₈) = C₇xC₂.C₄²	central extension (φ=1)	224		C2^2.7(C2xC28)	224,44
C₂².₈(C₂xC₂₈) = C₇xC₈:C₄	central extension (φ=1)	224		C2^2.8(C2xC28)	224,46
C₂².₉(C₂xC₂₈) = C₇xC₂²:C₈	central extension (φ=1)	112		C2^2.9(C2xC28)	224,47
C₂².₁₀(C₂xC₂₈) = C₇xC₄:C₈	central extension (φ=1)	224		C2^2.10(C2xC28)	224,54
C₂².₁₁(C₂xC₂₈) = C₁₄xC₄:C₄	central extension (φ=1)	224		C2^2.11(C2xC28)	224,151

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