C₅×D₃×C₁₃×C₆₇ #39908399

order	26130
automorphism	?
homology	Abelianization (H₁) = C₂×C₅×C₁₃×C₆₇ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₅×D₃×C₁₃×C₆₇
unambiguous semidirect product	C₃⋊(C₂×C₅×C₁₃×C₆₇)

	subgroup	G/H
center, hypercenter	C₅×C₁₃×C₆₇	D₃
commutator, cosocle, hypocenter	C₃	C₂×C₅×C₁₃×C₆₇
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₁₃×C₆₇	C₂
LCS	G ▷ C₃
UCS	C₁ ◁ C₅×C₁₃×C₆₇

32 conjugacy classes of subgroups.

μ_t(G) = 13065

13065 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(26130, 13);