Extensions 1→N→G→Q→1 with N=C₂₁ and Q=C₂×Q₈

Direct product G=N×Q with N=C₂₁ and Q=C₂×Q₈

		d	ρ	Label	ID
Q₈×C₄₂		336		Q8xC42	336,206

Semidirect products G=N:Q with N=C₂₁ and Q=C₂×Q₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₁⋊₁(C₂×Q₈) = D₇×Dic₆	φ: C₂×Q₈/C₄ → C₂² ⊆ Aut C₂₁	168	4-	C21:1(C2xQ8)	336,137
C₂₁⋊₂(C₂×Q₈) = S₃×Dic₁₄	φ: C₂×Q₈/C₄ → C₂² ⊆ Aut C₂₁	168	4-	C21:2(C2xQ8)	336,140
C₂₁⋊₃(C₂×Q₈) = D₂₁⋊Q₈	φ: C₂×Q₈/C₄ → C₂² ⊆ Aut C₂₁	168	4	C21:3(C2xQ8)	336,143
C₂₁⋊₄(C₂×Q₈) = C₂×C₂₁⋊Q₈	φ: C₂×Q₈/C₂² → C₂² ⊆ Aut C₂₁	336		C21:4(C2xQ8)	336,160
C₂₁⋊₅(C₂×Q₈) = C₂×Dic₄₂	φ: C₂×Q₈/C₂×C₄ → C₂ ⊆ Aut C₂₁	336		C21:5(C2xQ8)	336,194
C₂₁⋊₆(C₂×Q₈) = C₆×Dic₁₄	φ: C₂×Q₈/C₂×C₄ → C₂ ⊆ Aut C₂₁	336		C21:6(C2xQ8)	336,174
C₂₁⋊₇(C₂×Q₈) = C₁₄×Dic₆	φ: C₂×Q₈/C₂×C₄ → C₂ ⊆ Aut C₂₁	336		C21:7(C2xQ8)	336,184
C₂₁⋊₈(C₂×Q₈) = Q₈×D₂₁	φ: C₂×Q₈/Q₈ → C₂ ⊆ Aut C₂₁	168	4-	C21:8(C2xQ8)	336,200
C₂₁⋊₉(C₂×Q₈) = C₃×Q₈×D₇	φ: C₂×Q₈/Q₈ → C₂ ⊆ Aut C₂₁	168	4	C21:9(C2xQ8)	336,180
C₂₁⋊₁₀(C₂×Q₈) = S₃×C₇×Q₈	φ: C₂×Q₈/Q₈ → C₂ ⊆ Aut C₂₁	168	4	C21:10(C2xQ8)	336,190

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