Extensions 1→N→G→Q→1 with N=C₂₈ and Q=C₄

Direct product G=N×Q with N=C₂₈ and Q=C₄

		d	ρ	Label	ID
C₄×C₂₈		112		C4xC28	112,19

Semidirect products G=N:Q with N=C₂₈ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₈⋊₁C₄ = C₄⋊Dic₇	φ: C₄/C₂ → C₂ ⊆ Aut C₂₈	112		C28:1C4	112,12
C₂₈⋊₂C₄ = C₄×Dic₇	φ: C₄/C₂ → C₂ ⊆ Aut C₂₈	112		C28:2C4	112,10
C₂₈⋊₃C₄ = C₇×C₄⋊C₄	φ: C₄/C₂ → C₂ ⊆ Aut C₂₈	112		C28:3C4	112,21

Non-split extensions G=N.Q with N=C₂₈ and Q=C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₈.₁C₄ = C₄.Dic₇	φ: C₄/C₂ → C₂ ⊆ Aut C₂₈	56	2	C28.1C4	112,9
C₂₈.₂C₄ = C₇⋊C₁₆	φ: C₄/C₂ → C₂ ⊆ Aut C₂₈	112	2	C28.2C4	112,1
C₂₈.₃C₄ = C₂×C₇⋊C₈	φ: C₄/C₂ → C₂ ⊆ Aut C₂₈	112		C28.3C4	112,8
C₂₈.₄C₄ = C₇×M₄(2)	φ: C₄/C₂ → C₂ ⊆ Aut C₂₈	56	2	C28.4C4	112,23

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