Extensions 1→N→G→Q→1 with N=C₂₁ and Q=C₂²⋊C₄

Direct product G=N×Q with N=C₂₁ and Q=C₂²⋊C₄

		d	ρ	Label	ID
C₂²⋊C₄×C₂₁		168		C2^2:C4xC21	336,107

Semidirect products G=N:Q with N=C₂₁ and Q=C₂²⋊C₄

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₁⋊₁(C₂²⋊C₄) = D₁₄⋊Dic₃	φ: C₂²⋊C₄/C₂² → C₂² ⊆ Aut C₂₁	168		C21:1(C2^2:C4)	336,42
C₂₁⋊₂(C₂²⋊C₄) = D₆⋊Dic₇	φ: C₂²⋊C₄/C₂² → C₂² ⊆ Aut C₂₁	168		C21:2(C2^2:C4)	336,43
C₂₁⋊₃(C₂²⋊C₄) = D₄₂⋊C₄	φ: C₂²⋊C₄/C₂² → C₂² ⊆ Aut C₂₁	168		C21:3(C2^2:C4)	336,44
C₂₁⋊₄(C₂²⋊C₄) = C₂.D₈₄	φ: C₂²⋊C₄/C₂×C₄ → C₂ ⊆ Aut C₂₁	168		C21:4(C2^2:C4)	336,100
C₂₁⋊₅(C₂²⋊C₄) = C₃×D₁₄⋊C₄	φ: C₂²⋊C₄/C₂×C₄ → C₂ ⊆ Aut C₂₁	168		C21:5(C2^2:C4)	336,68
C₂₁⋊₆(C₂²⋊C₄) = C₇×D₆⋊C₄	φ: C₂²⋊C₄/C₂×C₄ → C₂ ⊆ Aut C₂₁	168		C21:6(C2^2:C4)	336,84
C₂₁⋊₇(C₂²⋊C₄) = C₄₂.₃₈D₄	φ: C₂²⋊C₄/C₂³ → C₂ ⊆ Aut C₂₁	168		C21:7(C2^2:C4)	336,105
C₂₁⋊₈(C₂²⋊C₄) = C₃×C₂³.D₇	φ: C₂²⋊C₄/C₂³ → C₂ ⊆ Aut C₂₁	168		C21:8(C2^2:C4)	336,73
C₂₁⋊₉(C₂²⋊C₄) = C₇×C₆.D₄	φ: C₂²⋊C₄/C₂³ → C₂ ⊆ Aut C₂₁	168		C21:9(C2^2:C4)	336,89

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