C₅×C₁₃×C₁₉×ΓL(1,𝔽₈) #39906276

order	25935
automorphism	?
homology	Abelianization (H₁) = C₃×C₅×C₁₃×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₅×C₁₃×C₁₉×ΓL(1,𝔽₈)
unambiguous semidirect product	C₇⋊(C₃×C₅×C₁₃×C₁₉)
unambiguous semidirect product	(C₅×C₇)⋊(C₃×C₁₃×C₁₉)

	subgroup	G/H
center, hypercenter	C₅×C₁₃×C₁₉	ΓL(1,𝔽₈)
commutator, cosocle, hypocenter	C₇	C₃×C₅×C₁₃×C₁₉
Frattini	C₁	G
Fitting, socle	C₅×C₇×C₁₃×C₁₉	C₃
LCS	G ▷ C₇
UCS	C₁ ◁ C₅×C₁₃×C₁₉

32 conjugacy classes of subgroups.

μ_t(G) = 8645

6175 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(25935, 6);