Extensions 1→N→G→Q→1 with N=C₄ and Q=C₂xC₂₈

Direct product G=NxQ with N=C₄ and Q=C₂xC₂₈

		d	ρ	Label	ID
C₂xC₄xC₂₈		224		C2xC4xC28	224,149

Semidirect products G=N:Q with N=C₄ and Q=C₂xC₂₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄:₁(C₂xC₂₈) = D₄xC₂₈	φ: C₂xC₂₈/C₂₈ → C₂ ⊆ Aut C₄	112		C4:1(C2xC28)	224,153
C₄:₂(C₂xC₂₈) = C₁₄xC₄:C₄	φ: C₂xC₂₈/C₂xC₁₄ → C₂ ⊆ Aut C₄	224		C4:2(C2xC28)	224,151

Non-split extensions G=N.Q with N=C₄ and Q=C₂xC₂₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₄.₁(C₂xC₂₈) = C₇xD₄:C₄	φ: C₂xC₂₈/C₂₈ → C₂ ⊆ Aut C₄	112		C4.1(C2xC28)	224,51
C₄.₂(C₂xC₂₈) = C₇xQ₈:C₄	φ: C₂xC₂₈/C₂₈ → C₂ ⊆ Aut C₄	224		C4.2(C2xC28)	224,52
C₄.₃(C₂xC₂₈) = C₇xC₄wrC₂	φ: C₂xC₂₈/C₂₈ → C₂ ⊆ Aut C₄	56	2	C4.3(C2xC28)	224,53
C₄.₄(C₂xC₂₈) = Q₈xC₂₈	φ: C₂xC₂₈/C₂₈ → C₂ ⊆ Aut C₄	224		C4.4(C2xC28)	224,154
C₄.₅(C₂xC₂₈) = C₇xC₈oD₄	φ: C₂xC₂₈/C₂₈ → C₂ ⊆ Aut C₄	112	2	C4.5(C2xC28)	224,166
C₄.₆(C₂xC₂₈) = C₇xC₄.Q₈	φ: C₂xC₂₈/C₂xC₁₄ → C₂ ⊆ Aut C₄	224		C4.6(C2xC28)	224,55
C₄.₇(C₂xC₂₈) = C₇xC₂.D₈	φ: C₂xC₂₈/C₂xC₁₄ → C₂ ⊆ Aut C₄	224		C4.7(C2xC28)	224,56
C₄.₈(C₂xC₂₈) = C₇xC₈.C₄	φ: C₂xC₂₈/C₂xC₁₄ → C₂ ⊆ Aut C₄	112	2	C4.8(C2xC28)	224,57
C₄.₉(C₂xC₂₈) = C₇xC₄²:C₂	φ: C₂xC₂₈/C₂xC₁₄ → C₂ ⊆ Aut C₄	112		C4.9(C2xC28)	224,152
C₄.₁₀(C₂xC₂₈) = C₁₄xM₄(2)	φ: C₂xC₂₈/C₂xC₁₄ → C₂ ⊆ Aut C₄	112		C4.10(C2xC28)	224,165
C₄.₁₁(C₂xC₂₈) = C₇xC₈:C₄	central extension (φ=1)	224		C4.11(C2xC28)	224,46
C₄.₁₂(C₂xC₂₈) = C₇xM₅(2)	central extension (φ=1)	112	2	C4.12(C2xC28)	224,59

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