Extensions 1→N→G→Q→1 with N=C₃₃ and Q=C₂×C₆

Direct product G=N×Q with N=C₃₃ and Q=C₂×C₆

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

Semidirect products G=N:Q with N=C₃₃ and Q=C₂×C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₃⋊(C₂×C₆) = C₃×S₃×D₁₁	φ: C₂×C₆/C₃ → C₂² ⊆ Aut C₃₃	66	4	C33:(C2xC6)	396,19
C₃₃⋊₂(C₂×C₆) = C₆×D₃₃	φ: C₂×C₆/C₆ → C₂ ⊆ Aut C₃₃	132	2	C33:2(C2xC6)	396,27
C₃₃⋊₃(C₂×C₆) = C₃×C₆×D₁₁	φ: C₂×C₆/C₆ → C₂ ⊆ Aut C₃₃	198		C33:3(C2xC6)	396,25
C₃₃⋊₄(C₂×C₆) = S₃×C₆₆	φ: C₂×C₆/C₆ → C₂ ⊆ Aut C₃₃	132	2	C33:4(C2xC6)	396,26

Non-split extensions G=N.Q with N=C₃₃ and Q=C₂×C₆

extension	φ:Q→Aut N	d	ρ	Label	ID
C₃₃.(C₂×C₆) = C₁₈×D₁₁	φ: C₂×C₆/C₆ → C₂ ⊆ Aut C₃₃	198	2	C33.(C2xC6)	396,7

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Extensions 1→N→G→Q→1 with N=C33 and Q=C2×C6