C₅×D₃×C₇×C₁₄₉ #44530974

order	31290
automorphism	?
homology	Abelianization (H₁) = C₂×C₅×C₇×C₁₄₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₅×D₃×C₇×C₁₄₉
unambiguous semidirect product	C₃⋊(C₂×C₅×C₇×C₁₄₉)

	subgroup	G/H
center, hypercenter	C₅×C₇×C₁₄₉	D₃
commutator, cosocle, hypocenter	C₃	C₂×C₅×C₇×C₁₄₉
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₇×C₁₄₉	C₂
LCS	G ▷ C₃
UCS	C₁ ◁ C₅×C₇×C₁₄₉

32 conjugacy classes of subgroups.

μ_t(G) = 15645

15645 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31290, 10);