Extensions 1→N→G→Q→1 with N=C₂₁ and Q=D₈

Direct product G=N×Q with N=C₂₁ and Q=D₈

		d	ρ	Label	ID
D₈×C₂₁		168	2	D8xC21	336,111

Semidirect products G=N:Q with N=C₂₁ and Q=D₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₁⋊₁D₈ = C₂₁⋊D₈	φ: D₈/C₄ → C₂² ⊆ Aut C₂₁	168	4	C21:1D8	336,29
C₂₁⋊₂D₈ = C₃⋊D₅₆	φ: D₈/C₄ → C₂² ⊆ Aut C₂₁	168	4+	C21:2D8	336,30
C₂₁⋊₃D₈ = C₇⋊D₂₄	φ: D₈/C₄ → C₂² ⊆ Aut C₂₁	168	4+	C21:3D8	336,31
C₂₁⋊₄D₈ = D₁₆₈	φ: D₈/C₈ → C₂ ⊆ Aut C₂₁	168	2+	C21:4D8	336,93
C₂₁⋊₅D₈ = C₃×D₅₆	φ: D₈/C₈ → C₂ ⊆ Aut C₂₁	168	2	C21:5D8	336,61
C₂₁⋊₆D₈ = C₇×D₂₄	φ: D₈/C₈ → C₂ ⊆ Aut C₂₁	168	2	C21:6D8	336,77
C₂₁⋊₇D₈ = D₄⋊D₂₁	φ: D₈/D₄ → C₂ ⊆ Aut C₂₁	168	4+	C21:7D8	336,101
C₂₁⋊₈D₈ = C₃×D₄⋊D₇	φ: D₈/D₄ → C₂ ⊆ Aut C₂₁	168	4	C21:8D8	336,69
C₂₁⋊₉D₈ = C₇×D₄⋊S₃	φ: D₈/D₄ → C₂ ⊆ Aut C₂₁	168	4	C21:9D8	336,85

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁