Extensions 1→N→G→Q→1 with N=C₂₈ and Q=C₁₂

Direct product G=NxQ with N=C₂₈ and Q=C₁₂

		d	ρ	Label	ID
C₄xC₈₄		336		C4xC84	336,106

Semidirect products G=N:Q with N=C₂₈ and Q=C₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₈:₁C₁₂ = C₂₈:C₁₂	φ: C₁₂/C₂ → C₆ ⊆ Aut C₂₈	112		C28:1C12	336,16
C₂₈:₂C₁₂ = C₄xC₇:C₁₂	φ: C₁₂/C₂ → C₆ ⊆ Aut C₂₈	112		C28:2C12	336,14
C₂₈:₃C₁₂ = C₄:C₄xC₇:C₃	φ: C₁₂/C₂ → C₆ ⊆ Aut C₂₈	112		C28:3C12	336,50
C₂₈:₄C₁₂ = C₄²xC₇:C₃	φ: C₁₂/C₄ → C₃ ⊆ Aut C₂₈	112		C28:4C12	336,48
C₂₈:₅C₁₂ = C₃xC₄:Dic₇	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂₈	336		C28:5C12	336,67
C₂₈:₆C₁₂ = C₁₂xDic₇	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂₈	336		C28:6C12	336,65
C₂₈:₇C₁₂ = C₄:C₄xC₂₁	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂₈	336		C28:7C12	336,108

Non-split extensions G=N.Q with N=C₂₈ and Q=C₁₂

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₈.₁C₁₂ = C₂₈.C₁₂	φ: C₁₂/C₂ → C₆ ⊆ Aut C₂₈	56	6	C28.1C12	336,13
C₂₈.₂C₁₂ = C₇:C₄₈	φ: C₁₂/C₂ → C₆ ⊆ Aut C₂₈	112	6	C28.2C12	336,1
C₂₈.₃C₁₂ = C₂xC₇:C₂₄	φ: C₁₂/C₂ → C₆ ⊆ Aut C₂₈	112		C28.3C12	336,12
C₂₈.₄C₁₂ = M₄(2)xC₇:C₃	φ: C₁₂/C₂ → C₆ ⊆ Aut C₂₈	56	6	C28.4C12	336,52
C₂₈.₅C₁₂ = C₁₆xC₇:C₃	φ: C₁₂/C₄ → C₃ ⊆ Aut C₂₈	112	3	C28.5C12	336,2
C₂₈.₆C₁₂ = C₂xC₈xC₇:C₃	φ: C₁₂/C₄ → C₃ ⊆ Aut C₂₈	112		C28.6C12	336,51
C₂₈.₇C₁₂ = C₃xC₄.Dic₇	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂₈	168	2	C28.7C12	336,64
C₂₈.₈C₁₂ = C₃xC₇:C₁₆	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂₈	336	2	C28.8C12	336,4
C₂₈.₉C₁₂ = C₆xC₇:C₈	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂₈	336		C28.9C12	336,63
C₂₈.₁₀C₁₂ = M₄(2)xC₂₁	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂₈	168	2	C28.10C12	336,110

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