C₂²×C₁₇×C₁₈₁⋊C₃ #49147377

order	36924
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃×C₁₇ · Schur multiplier (H₂) = C₂

Aliases

C₂²×C₁₇×C₁₈₁⋊C₃

	subgroup	G/H
center, hypercenter	C₂²×C₁₇	C₁₈₁⋊C₃
commutator, cosocle, hypocenter	C₁₈₁	C₂²×C₃×C₁₇
Frattini	C₁	G
Fitting, socle	C₂²×C₁₇×C₁₈₁	C₃
LCS	G ▷ C₁₈₁
UCS	C₁ ◁ C₂²×C₁₇

40 conjugacy classes of subgroups.

μ_t(G) = 12308

4284 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(36924, 45);