C₃²×D₁₃×D₄₉ #37524270

order	22932
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃² · Schur multiplier (H₂) = C₂×C₃

Aliases

C₃²×D₁₃×D₄₉

	subgroup	G/H
center, hypercenter	C₃²	D₁₃×D₄₉
commutator, cosocle, hypocenter	C₁₃×C₄₉	C₂²×C₃²
Frattini	C₇	C₃²×D₇×D₁₃
Fitting	C₃²×C₁₃×C₄₉	C₂²
socle	C₃²×C₇×C₁₃	C₂×D₇
LCS	G ▷ C₁₃×C₄₉
UCS	C₁ ◁ C₃²

180 conjugacy classes of subgroups.

μ_t(G) = 5733

1872 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22932, 215);