Extensions 1→N→G→Q→1 with N=C₇ and Q=D₂₈

Direct product G=N×Q with N=C₇ and Q=D₂₈

		d	ρ	Label	ID
C₇×D₂₈		56	2	C7xD28	392,25

Semidirect products G=N:Q with N=C₇ and Q=D₂₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇⋊₁D₂₈ = C₂₈⋊D₇	φ: D₂₈/C₂₈ → C₂ ⊆ Aut C₇	196		C7:1D28	392,30
C₇⋊₂D₂₈ = C₇⋊D₂₈	φ: D₂₈/D₁₄ → C₂ ⊆ Aut C₇	28	4+	C7:2D28	392,21

Non-split extensions G=N.Q with N=C₇ and Q=D₂₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₇.D₂₈ = D₁₉₆	φ: D₂₈/C₂₈ → C₂ ⊆ Aut C₇	196	2+	C7.D28	392,5

⋊

ℤ

𝔽

○

≀

ℚ

◁

Extensions 1→N→G→Q→1 with N=C7 and Q=D28