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

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

		d	ρ	Label	ID
C₂×C₁₆₈		336		C2xC168	336,109

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

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₁⋊₁(C₂×C₈) = D₇×C₃⋊C₈	φ: C₂×C₈/C₄ → C₂² ⊆ Aut C₂₁	168	4	C21:1(C2xC8)	336,23
C₂₁⋊₂(C₂×C₈) = S₃×C₇⋊C₈	φ: C₂×C₈/C₄ → C₂² ⊆ Aut C₂₁	168	4	C21:2(C2xC8)	336,24
C₂₁⋊₃(C₂×C₈) = D₂₁⋊C₈	φ: C₂×C₈/C₄ → C₂² ⊆ Aut C₂₁	168	4	C21:3(C2xC8)	336,25
C₂₁⋊₄(C₂×C₈) = C₈×D₂₁	φ: C₂×C₈/C₈ → C₂ ⊆ Aut C₂₁	168	2	C21:4(C2xC8)	336,90
C₂₁⋊₅(C₂×C₈) = D₇×C₂₄	φ: C₂×C₈/C₈ → C₂ ⊆ Aut C₂₁	168	2	C21:5(C2xC8)	336,58
C₂₁⋊₆(C₂×C₈) = S₃×C₅₆	φ: C₂×C₈/C₈ → C₂ ⊆ Aut C₂₁	168	2	C21:6(C2xC8)	336,74
C₂₁⋊₇(C₂×C₈) = C₂×C₂₁⋊C₈	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Aut C₂₁	336		C21:7(C2xC8)	336,95
C₂₁⋊₈(C₂×C₈) = C₆×C₇⋊C₈	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Aut C₂₁	336		C21:8(C2xC8)	336,63
C₂₁⋊₉(C₂×C₈) = C₁₄×C₃⋊C₈	φ: C₂×C₈/C₂×C₄ → C₂ ⊆ Aut C₂₁	336		C21:9(C2xC8)	336,79

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