Extensions 1→N→G→Q→1 with N=C₆ and Q=C₆₈

Direct product G=N×Q with N=C₆ and Q=C₆₈

		d	ρ	Label	ID
C₂×C₂₀₄		408		C2xC204	408,30

Semidirect products G=N:Q with N=C₆ and Q=C₆₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆⋊C₆₈ = Dic₃×C₃₄	φ: C₆₈/C₃₄ → C₂ ⊆ Aut C₆	408		C6:C68	408,23

Non-split extensions G=N.Q with N=C₆ and Q=C₆₈

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆.C₆₈ = C₁₇×C₃⋊C₈	φ: C₆₈/C₃₄ → C₂ ⊆ Aut C₆	408	2	C6.C68	408,1

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Extensions 1→N→G→Q→1 with N=C6 and Q=C68