C₅×C₁₉×D₁₅₇ #44469099

order	29830
automorphism	?
homology	Abelianization (H₁) = C₂×C₅×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₅×C₁₉×D₁₅₇
unambiguous semidirect product	C₁₅₇⋊(C₂×C₅×C₁₉)

	subgroup	G/H
center, hypercenter	C₅×C₁₉	D₁₅₇
commutator, cosocle, hypocenter	C₁₅₇	C₂×C₅×C₁₉
Frattini	C₁	G
Fitting, socle	C₅×C₁₉×C₁₅₇	C₂
LCS	G ▷ C₁₅₇
UCS	C₁ ◁ C₅×C₁₉

16 conjugacy classes of subgroups.

μ_t(G) = 14915

7600 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(29830, 2);