Extensions 1→N→G→Q→1 with N=C₂² and Q=Dic₂₈

Direct product G=N×Q with N=C₂² and Q=Dic₂₈

		d	ρ	Label	ID
C₂²×Dic₂₈		448		C2^2xDic28	448,1195

Semidirect products G=N:Q with N=C₂² and Q=Dic₂₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂²⋊₁Dic₂₈ = C₅₆.₈₂D₄	φ: Dic₂₈/C₅₆ → C₂ ⊆ Aut C₂²	224		C2^2:1Dic28	448,650
C₂²⋊₂Dic₂₈ = C₂²⋊Dic₂₈	φ: Dic₂₈/Dic₁₄ → C₂ ⊆ Aut C₂²	224		C2^2:2Dic28	448,273

Non-split extensions G=N.Q with N=C₂² and Q=Dic₂₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂².₁Dic₂₈ = C₁₁₂.C₄	φ: Dic₂₈/C₅₆ → C₂ ⊆ Aut C₂²	224	2	C2^2.1Dic28	448,63
C₂².₂Dic₂₈ = C₂³.₃₀D₂₈	φ: Dic₂₈/Dic₁₄ → C₂ ⊆ Aut C₂²	112		C2^2.2Dic28	448,24
C₂².₃Dic₂₈ = C₂³.₃₅D₂₈	φ: Dic₂₈/Dic₁₄ → C₂ ⊆ Aut C₂²	224		C2^2.3Dic28	448,256
C₂².₄Dic₂₈ = C₂₈.₉C₄²	central extension (φ=1)	448		C2^2.4Dic28	448,108
C₂².₅Dic₂₈ = C₂×C₂₈.₄₄D₄	central extension (φ=1)	448		C2^2.5Dic28	448,637
C₂².₆Dic₂₈ = C₂×C₅₆⋊₁C₄	central extension (φ=1)	448		C2^2.6Dic28	448,639

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