C₃×D₁₇×D₁₈₁ #49147362

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

Aliases

C₃×D₁₇×D₁₈₁

	subgroup	G/H
center, hypercenter	C₃	D₁₇×D₁₈₁
commutator, cosocle, hypocenter	C₁₇×C₁₈₁	C₂²×C₃
Frattini	C₁	G
Fitting, socle	C₃×C₁₇×C₁₈₁	C₂²
LCS	G ▷ C₁₇×C₁₈₁
UCS	C₁ ◁ C₃

40 conjugacy classes of subgroups.

μ_t(G) = 9231

2760 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(36924, 30);