C₂²×C₁₇×C₁₆₃⋊C₃ #45685292

order	33252
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₁₇ · Schur multiplier (H₂) = C₂

Aliases

C₂²×C₁₇×C₁₆₃⋊C₃

	subgroup	G/H
center, hypercenter	C₂²×C₁₇	C₁₆₃⋊C₃
commutator, cosocle, hypocenter	C₁₆₃	C₂²×C₃×C₁₇
Frattini	C₁	G
Fitting, socle	C₂²×C₁₇×C₁₆₃	C₃
LCS	G ▷ C₁₆₃
UCS	C₁ ◁ C₂²×C₁₇

40 conjugacy classes of subgroups.

μ_t(G) = 11084

3876 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33252, 33);