C₇×C₁₃×D₁₈₃ #45686556

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

Aliases

direct product	C₇×C₁₃×D₁₈₃
unambiguous semidirect product	C₃⋊(C₇×C₁₃×D₆₁)
unambiguous semidirect product	C₆₁⋊(D₃×C₇×C₁₃)

	subgroup	G/H
center, hypercenter	C₇×C₁₃	D₁₈₃
commutator, cosocle, hypocenter	C₃×C₆₁	C₂×C₇×C₁₃
Frattini	C₁	G
Fitting, socle	C₃×C₇×C₁₃×C₆₁	C₂
LCS	G ▷ C₃×C₆₁
UCS	C₁ ◁ C₇×C₁₃

32 conjugacy classes of subgroups.

μ_t(G) = 16653

8463 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33306, 23);