C₅×C₁₃×D₂₅₉ #46797602

order	33670
automorphism	?
homology	Abelianization (H₁) = C₂×C₅×C₁₃ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₅×C₁₃×D₂₅₉
unambiguous semidirect product	C₇⋊(C₅×C₁₃×D₃₇)
unambiguous semidirect product	C₃₇⋊(C₅×C₁₃×D₇)

	subgroup	G/H
center, hypercenter	C₅×C₁₃	D₂₅₉
commutator, cosocle, hypocenter	C₇×C₃₇	C₂×C₅×C₁₃
Frattini	C₁	G
Fitting, socle	C₅×C₇×C₁₃×C₃₇	C₂
LCS	G ▷ C₇×C₃₇
UCS	C₁ ◁ C₅×C₁₃

32 conjugacy classes of subgroups.

μ_t(G) = 16835

8515 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33670, 6);