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

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

		d	ρ	Label	ID
C₄×C₈₄		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 = C₄×C₇⋊C₁₂	φ: C₁₂/C₂ → C₆ ⊆ Aut C₂₈	112		C28:2C12	336,14
C₂₈⋊₃C₁₂ = C₄⋊C₄×C₇⋊C₃	φ: C₁₂/C₂ → C₆ ⊆ Aut C₂₈	112		C28:3C12	336,50
C₂₈⋊₄C₁₂ = C₄²×C₇⋊C₃	φ: C₁₂/C₄ → C₃ ⊆ Aut C₂₈	112		C28:4C12	336,48
C₂₈⋊₅C₁₂ = C₃×C₄⋊Dic₇	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂₈	336		C28:5C12	336,67
C₂₈⋊₆C₁₂ = C₁₂×Dic₇	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂₈	336		C28:6C12	336,65
C₂₈⋊₇C₁₂ = C₄⋊C₄×C₂₁	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 = C₂×C₇⋊C₂₄	φ: C₁₂/C₂ → C₆ ⊆ Aut C₂₈	112		C28.3C12	336,12
C₂₈.₄C₁₂ = M₄(2)×C₇⋊C₃	φ: C₁₂/C₂ → C₆ ⊆ Aut C₂₈	56	6	C28.4C12	336,52
C₂₈.₅C₁₂ = C₁₆×C₇⋊C₃	φ: C₁₂/C₄ → C₃ ⊆ Aut C₂₈	112	3	C28.5C12	336,2
C₂₈.₆C₁₂ = C₂×C₈×C₇⋊C₃	φ: C₁₂/C₄ → C₃ ⊆ Aut C₂₈	112		C28.6C12	336,51
C₂₈.₇C₁₂ = C₃×C₄.Dic₇	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂₈	168	2	C28.7C12	336,64
C₂₈.₈C₁₂ = C₃×C₇⋊C₁₆	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂₈	336	2	C28.8C12	336,4
C₂₈.₉C₁₂ = C₆×C₇⋊C₈	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂₈	336		C28.9C12	336,63
C₂₈.₁₀C₁₂ = M₄(2)×C₂₁	φ: C₁₂/C₆ → C₂ ⊆ Aut C₂₈	168	2	C28.10C12	336,110

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