Extensions 1→N→G→Q→1 with N=C₂₁⋊C₈ and Q=C₂

Direct product G=N×Q with N=C₂₁⋊C₈ and Q=C₂

		d	ρ	Label	ID
C₂×C₂₁⋊C₈		336		C2xC21:C8	336,95

Semidirect products G=N:Q with N=C₂₁⋊C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂₁⋊C₈⋊₁C₂ = D₄⋊D₂₁	φ: C₂/C₁ → C₂ ⊆ Out C₂₁⋊C₈	168	4+	C21:C8:1C2	336,101
C₂₁⋊C₈⋊₂C₂ = D₄.D₂₁	φ: C₂/C₁ → C₂ ⊆ Out C₂₁⋊C₈	168	4-	C21:C8:2C2	336,102
C₂₁⋊C₈⋊₃C₂ = Q₈⋊₂D₂₁	φ: C₂/C₁ → C₂ ⊆ Out C₂₁⋊C₈	168	4+	C21:C8:3C2	336,103
C₂₁⋊C₈⋊₄C₂ = C₅₆⋊S₃	φ: C₂/C₁ → C₂ ⊆ Out C₂₁⋊C₈	168	2	C21:C8:4C2	336,91
C₂₁⋊C₈⋊₅C₂ = C₈₄.C₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₁⋊C₈	168	2	C21:C8:5C2	336,96
C₂₁⋊C₈⋊₆C₂ = C₂₁⋊D₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₁⋊C₈	168	4	C21:C8:6C2	336,29
C₂₁⋊C₈⋊₇C₂ = C₂₈.D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₁⋊C₈	168	4	C21:C8:7C2	336,32
C₂₁⋊C₈⋊₈C₂ = C₄₂.D₄	φ: C₂/C₁ → C₂ ⊆ Out C₂₁⋊C₈	168	4	C21:C8:8C2	336,33
C₂₁⋊C₈⋊₉C₂ = D₇×C₃⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₁⋊C₈	168	4	C21:C8:9C2	336,23
C₂₁⋊C₈⋊₁₀C₂ = S₃×C₇⋊C₈	φ: C₂/C₁ → C₂ ⊆ Out C₂₁⋊C₈	168	4	C21:C8:10C2	336,24
C₂₁⋊C₈⋊₁₁C₂ = C₂₈.₃₂D₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₁⋊C₈	168	4	C21:C8:11C2	336,26
C₂₁⋊C₈⋊₁₂C₂ = D₆.Dic₇	φ: C₂/C₁ → C₂ ⊆ Out C₂₁⋊C₈	168	4	C21:C8:12C2	336,27
C₂₁⋊C₈⋊₁₃C₂ = C₈×D₂₁	φ: trivial image	168	2	C21:C8:13C2	336,90

Non-split extensions G=N.Q with N=C₂₁⋊C₈ and Q=C₂

extension	φ:Q→Out N	d	ρ	Label	ID
C₂₁⋊C₈.₁C₂ = C₂₁⋊₇Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₁⋊C₈	336	4-	C21:C8.1C2	336,104
C₂₁⋊C₈.₂C₂ = C₂₁⋊Q₁₆	φ: C₂/C₁ → C₂ ⊆ Out C₂₁⋊C₈	336	4	C21:C8.2C2	336,38

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁