C₁₃×D₂₁×C₆₁ #45686559

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

Aliases

direct product	C₁₃×D₂₁×C₆₁
unambiguous semidirect product	C₃⋊(C₁₃×D₇×C₆₁)
unambiguous semidirect product	C₇⋊(D₃×C₁₃×C₆₁)

	subgroup	G/H
center, hypercenter	C₁₃×C₆₁	D₂₁
commutator, cosocle, hypocenter	C₃×C₇	C₂×C₁₃×C₆₁
Frattini	C₁	G
Fitting, socle	C₃×C₇×C₁₃×C₆₁	C₂
LCS	G ▷ C₃×C₇
UCS	C₁ ◁ C₁₃×C₆₁

32 conjugacy classes of subgroups.

μ_t(G) = 16653

9516 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33306, 26);