Extensions 1→N→G→Q→1 with N=C₆₆ and Q=C₆

Direct product G=N×Q with N=C₆₆ and Q=C₆

		d	ρ	Label	ID
C₆×C₆₆		396		C6xC66	396,30

Semidirect products G=N:Q with N=C₆₆ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆₆⋊₁C₆ = C₆×D₃₃	φ: C₆/C₃ → C₂ ⊆ Aut C₆₆	132	2	C66:1C6	396,27
C₆₆⋊₂C₆ = C₃×C₆×D₁₁	φ: C₆/C₃ → C₂ ⊆ Aut C₆₆	198		C66:2C6	396,25
C₆₆⋊₃C₆ = S₃×C₆₆	φ: C₆/C₃ → C₂ ⊆ Aut C₆₆	132	2	C66:3C6	396,26

Non-split extensions G=N.Q with N=C₆₆ and Q=C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₆₆.₁C₆ = C₃×Dic₃₃	φ: C₆/C₃ → C₂ ⊆ Aut C₆₆	132	2	C66.1C6	396,13
C₆₆.₂C₆ = C₉×Dic₁₁	φ: C₆/C₃ → C₂ ⊆ Aut C₆₆	396	2	C66.2C6	396,2
C₆₆.₃C₆ = C₁₈×D₁₁	φ: C₆/C₃ → C₂ ⊆ Aut C₆₆	198	2	C66.3C6	396,7
C₆₆.₄C₆ = C₃²×Dic₁₁	φ: C₆/C₃ → C₂ ⊆ Aut C₆₆	396		C66.4C6	396,11
C₆₆.₅C₆ = Dic₃×C₃₃	φ: C₆/C₃ → C₂ ⊆ Aut C₆₆	132	2	C66.5C6	396,12

׿

×

⋊

ℤ

𝔽

○

≀

ℚ

◁