Extensions 1→N→G→Q→1 with N=C₆ and Q=C₂₈

Direct product G=N×Q with N=C₆ and Q=C₂₈

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

Semidirect products G=N:Q with N=C₆ and Q=C₂₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊C₂₈ = Dic₃×C₁₄	φ: C₂₈/C₁₄ → C₂ ⊆ Aut C₆	168		C6:C28	168,32

Non-split extensions G=N.Q with N=C₆ and Q=C₂₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.C₂₈ = C₇×C₃⋊C₈	φ: C₂₈/C₁₄ → C₂ ⊆ Aut C₆	168	2	C6.C28	168,3

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Extensions 1→N→G→Q→1 with N=C6 and Q=C28