D₃×C₇×C₁₃×C₆₁ #45686555

order	33306
automorphism	?
homology	Abelianization (H₁) = C₂×C₇×C₁₃×C₆₁ · Schur multiplier (H₂) = C₁

Aliases

direct product	D₃×C₇×C₁₃×C₆₁
unambiguous semidirect product	C₃⋊(C₂×C₇×C₁₃×C₆₁)

	subgroup	G/H
center, hypercenter	C₇×C₁₃×C₆₁	D₃
commutator, cosocle, hypocenter	C₃	C₂×C₇×C₁₃×C₆₁
Frattini	C₁	G
Fitting, socle	C₃×C₇×C₁₃×C₆₁	C₂
LCS	G ▷ C₃
UCS	C₁ ◁ C₇×C₁₃×C₆₁

32 conjugacy classes of subgroups.

μ_t(G) = 16653

16653 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33306, 22);