C₅×C₇×C₁₉×C₁₃⋊C₃ #39906273

order	25935
automorphism	?
homology	Abelianization (H₁) = C₃×C₅×C₇×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₅×C₇×C₁₉×C₁₃⋊C₃
unambiguous semidirect product	C₁₃⋊(C₃×C₅×C₇×C₁₉)
unambiguous semidirect product	(C₅×C₁₃)⋊(C₃×C₇×C₁₉)

	subgroup	G/H
center, hypercenter	C₅×C₇×C₁₉	C₁₃⋊C₃
commutator, cosocle, hypocenter	C₁₃	C₃×C₅×C₇×C₁₉
Frattini	C₁	G
Fitting, socle	C₅×C₇×C₁₃×C₁₉	C₃
LCS	G ▷ C₁₃
UCS	C₁ ◁ C₅×C₇×C₁₉

32 conjugacy classes of subgroups.

μ_t(G) = 8645

4655 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(25935, 3);