C₃×C₁₃×D₇×C₆₁ #45686551

order	33306
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₁₃×C₆₁ · Schur multiplier (H₂) = C₁

Aliases

C₃×C₁₃×D₇×C₆₁

	subgroup	G/H
center, hypercenter	C₃×C₁₃×C₆₁	D₇
commutator, cosocle, hypocenter	C₇	C₂×C₃×C₁₃×C₆₁
Frattini	C₁	G
Fitting, socle	C₃×C₇×C₁₃×C₆₁	C₂
LCS	G ▷ C₇
UCS	C₁ ◁ C₃×C₁₃×C₆₁

32 conjugacy classes of subgroups.

μ_t(G) = 16653

11895 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33306, 18);