Extensions 1→N→G→Q→1 with N=C₂₄ and Q=D₇

Direct product G=N×Q with N=C₂₄ and Q=D₇

		d	ρ	Label	ID
D₇×C₂₄		168	2	D7xC24	336,58

Semidirect products G=N:Q with N=C₂₄ and Q=D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₄⋊₁D₇ = D₁₆₈	φ: D₇/C₇ → C₂ ⊆ Aut C₂₄	168	2+	C24:1D7	336,93
C₂₄⋊₂D₇ = C₈⋊D₂₁	φ: D₇/C₇ → C₂ ⊆ Aut C₂₄	168	2	C24:2D7	336,92
C₂₄⋊₃D₇ = C₃×D₅₆	φ: D₇/C₇ → C₂ ⊆ Aut C₂₄	168	2	C24:3D7	336,61
C₂₄⋊₄D₇ = C₈×D₂₁	φ: D₇/C₇ → C₂ ⊆ Aut C₂₄	168	2	C24:4D7	336,90
C₂₄⋊₅D₇ = C₅₆⋊S₃	φ: D₇/C₇ → C₂ ⊆ Aut C₂₄	168	2	C24:5D7	336,91
C₂₄⋊₆D₇ = C₃×C₅₆⋊C₂	φ: D₇/C₇ → C₂ ⊆ Aut C₂₄	168	2	C24:6D7	336,60
C₂₄⋊₇D₇ = C₃×C₈⋊D₇	φ: D₇/C₇ → C₂ ⊆ Aut C₂₄	168	2	C24:7D7	336,59

Non-split extensions G=N.Q with N=C₂₄ and Q=D₇

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₄.₁D₇ = Dic₈₄	φ: D₇/C₇ → C₂ ⊆ Aut C₂₄	336	2-	C24.1D7	336,94
C₂₄.₂D₇ = C₃×Dic₂₈	φ: D₇/C₇ → C₂ ⊆ Aut C₂₄	336	2	C24.2D7	336,62
C₂₄.₃D₇ = C₂₁⋊C₁₆	φ: D₇/C₇ → C₂ ⊆ Aut C₂₄	336	2	C24.3D7	336,5
C₂₄.₄D₇ = C₃×C₇⋊C₁₆	central extension (φ=1)	336	2	C24.4D7	336,4

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