C₅×C₆₇×D₃₉ #39908401

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

Aliases

direct product	C₅×C₆₇×D₃₉
unambiguous semidirect product	C₃⋊(C₅×D₁₃×C₆₇)
unambiguous semidirect product	C₁₃⋊(C₅×D₃×C₆₇)

	subgroup	G/H
center, hypercenter	C₅×C₆₇	D₃₉
commutator, cosocle, hypocenter	C₃×C₁₃	C₂×C₅×C₆₇
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₁₃×C₆₇	C₂
LCS	G ▷ C₃×C₁₃
UCS	C₁ ◁ C₅×C₆₇

32 conjugacy classes of subgroups.

μ_t(G) = 13065

7035 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(26130, 15);