C₃×C₁₃×D₄₁₃ #44567256

order	32214
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₁₃ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₃×C₁₃×D₄₁₃
unambiguous semidirect product	C₅₉⋊(C₃×C₁₃×D₇)

	subgroup	G/H
center, hypercenter	C₃×C₁₃	D₄₁₃
commutator, cosocle, hypocenter	C₇×C₅₉	C₂×C₃×C₁₃
Frattini	C₁	G
Fitting, socle	C₃×C₇×C₁₃×C₅₉	C₂
LCS	G ▷ C₇×C₅₉
UCS	C₁ ◁ C₃×C₁₃

32 conjugacy classes of subgroups.

μ_t(G) = 16107

8112 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(32214, 10);