Extensions 1→N→G→Q→1 with N=C₂₁ and Q=M₄(2)

Direct product G=N×Q with N=C₂₁ and Q=M₄(2)

		d	ρ	Label	ID
M₄(2)×C₂₁		168	2	M4(2)xC21	336,110

Semidirect products G=N:Q with N=C₂₁ and Q=M₄(2)

extension	φ:Q→Aut N	d	ρ	Label	ID
C₂₁⋊₁M₄(2) = C₂₈.₃₂D₆	φ: M₄(2)/C₄ → C₂² ⊆ Aut C₂₁	168	4	C21:1M4(2)	336,26
C₂₁⋊₂M₄(2) = D₆.Dic₇	φ: M₄(2)/C₄ → C₂² ⊆ Aut C₂₁	168	4	C21:2M4(2)	336,27
C₂₁⋊₃M₄(2) = D₄₂.C₄	φ: M₄(2)/C₄ → C₂² ⊆ Aut C₂₁	168	4	C21:3M4(2)	336,28
C₂₁⋊₄M₄(2) = C₅₆⋊S₃	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₂₁	168	2	C21:4M4(2)	336,91
C₂₁⋊₅M₄(2) = C₃×C₈⋊D₇	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₂₁	168	2	C21:5M4(2)	336,59
C₂₁⋊₆M₄(2) = C₇×C₈⋊S₃	φ: M₄(2)/C₈ → C₂ ⊆ Aut C₂₁	168	2	C21:6M4(2)	336,75
C₂₁⋊₇M₄(2) = C₈₄.C₄	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₂₁	168	2	C21:7M4(2)	336,96
C₂₁⋊₈M₄(2) = C₃×C₄.Dic₇	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₂₁	168	2	C21:8M4(2)	336,64
C₂₁⋊₉M₄(2) = C₇×C₄.Dic₃	φ: M₄(2)/C₂×C₄ → C₂ ⊆ Aut C₂₁	168	2	C21:9M4(2)	336,80

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