Extensions 1→N→G→Q→1 with N=C₂₁ and Q=C₂×C₄

Direct product G=N×Q with N=C₂₁ and Q=C₂×C₄

		d	ρ	Label	ID
C₂×C₈₄		168		C2xC84	168,39

Semidirect products G=N:Q with N=C₂₁ and Q=C₂×C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₁⋊₁(C₂×C₄) = Dic₃×D₇	φ: C₂×C₄/C₂ → C₂² ⊆ Aut C₂₁	84	4-	C21:1(C2xC4)	168,12
C₂₁⋊₂(C₂×C₄) = S₃×Dic₇	φ: C₂×C₄/C₂ → C₂² ⊆ Aut C₂₁	84	4-	C21:2(C2xC4)	168,13
C₂₁⋊₃(C₂×C₄) = D₂₁⋊C₄	φ: C₂×C₄/C₂ → C₂² ⊆ Aut C₂₁	84	4+	C21:3(C2xC4)	168,14
C₂₁⋊₄(C₂×C₄) = C₄×D₂₁	φ: C₂×C₄/C₄ → C₂ ⊆ Aut C₂₁	84	2	C21:4(C2xC4)	168,35
C₂₁⋊₅(C₂×C₄) = C₁₂×D₇	φ: C₂×C₄/C₄ → C₂ ⊆ Aut C₂₁	84	2	C21:5(C2xC4)	168,25
C₂₁⋊₆(C₂×C₄) = S₃×C₂₈	φ: C₂×C₄/C₄ → C₂ ⊆ Aut C₂₁	84	2	C21:6(C2xC4)	168,30
C₂₁⋊₇(C₂×C₄) = C₂×Dic₂₁	φ: C₂×C₄/C₂² → C₂ ⊆ Aut C₂₁	168		C21:7(C2xC4)	168,37
C₂₁⋊₈(C₂×C₄) = C₆×Dic₇	φ: C₂×C₄/C₂² → C₂ ⊆ Aut C₂₁	168		C21:8(C2xC4)	168,27
C₂₁⋊₉(C₂×C₄) = Dic₃×C₁₄	φ: C₂×C₄/C₂² → C₂ ⊆ Aut C₂₁	168		C21:9(C2xC4)	168,32

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