C₁₃×C₃₁×D₃₃ #40998229

order	26598
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₃×C₃₁ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₁₃×C₃₁×D₃₃
unambiguous semidirect product	C₃⋊(C₁₃×D₁₁×C₃₁)
unambiguous semidirect product	C₁₁⋊(D₃×C₁₃×C₃₁)

	subgroup	G/H
center, hypercenter	C₁₃×C₃₁	D₃₃
commutator, cosocle, hypocenter	C₃×C₁₁	C₂×C₁₃×C₃₁
Frattini	C₁	G
Fitting, socle	C₃×C₁₁×C₁₃×C₃₁	C₂
LCS	G ▷ C₃×C₁₁
UCS	C₁ ◁ C₁₃×C₃₁

32 conjugacy classes of subgroups.

μ_t(G) = 13299

7254 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(26598, 17);