C₂×C₃²×C₁₃×D₄₉ #37524321

order	22932
automorphism	?
homology	Abelianization (H₁) = C₂²×C₃²×C₁₃ · Schur multiplier (H₂) = C₂×C₃

Aliases

C₂×C₃²×C₁₃×D₄₉

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

180 conjugacy classes of subgroups.

μ_t(G) = 11466

6084 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22932, 266);