Extensions 1→N→G→Q→1 with N=C₂₁ and Q=D₇

Direct product G=N×Q with N=C₂₁ and Q=D₇

		d	ρ	Label	ID
D₇×C₂₁		42	2	D7xC21	294,18

Semidirect products G=N:Q with N=C₂₁ and Q=D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₁⋊₁D₇ = C₇⋊D₂₁	φ: D₇/C₇ → C₂ ⊆ Aut C₂₁	147		C21:1D7	294,22
C₂₁⋊₂D₇ = C₃×C₇⋊D₇	φ: D₇/C₇ → C₂ ⊆ Aut C₂₁	147		C21:2D7	294,19
C₂₁⋊₃D₇ = C₇×D₂₁	φ: D₇/C₇ → C₂ ⊆ Aut C₂₁	42	2	C21:3D7	294,21

Non-split extensions G=N.Q with N=C₂₁ and Q=D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₁.₁D₇ = D₁₄₇	φ: D₇/C₇ → C₂ ⊆ Aut C₂₁	147	2+	C21.1D7	294,5
C₂₁.₂D₇ = C₃×D₄₉	φ: D₇/C₇ → C₂ ⊆ Aut C₂₁	147	2	C21.2D7	294,4

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Extensions 1→N→G→Q→1 with N=C21 and Q=D7