C₁₃×D₁₅×C₆₇ #39908403

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

Aliases

direct product	C₁₃×D₁₅×C₆₇
unambiguous semidirect product	C₃⋊(D₅×C₁₃×C₆₇)
unambiguous semidirect product	C₅⋊(D₃×C₁₃×C₆₇)

	subgroup	G/H
center, hypercenter	C₁₃×C₆₇	D₁₅
commutator, cosocle, hypocenter	C₃×C₅	C₂×C₁₃×C₆₇
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₁₃×C₆₇	C₂
LCS	G ▷ C₃×C₅
UCS	C₁ ◁ C₁₃×C₆₇

32 conjugacy classes of subgroups.

μ_t(G) = 13065

7839 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(26130, 17);