C₁₃×D₉×C₁₀₇ #38736688

order	25038
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₃×C₁₀₇ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₁₃×D₉×C₁₀₇
unambiguous semidirect product	C₉⋊(C₂×C₁₃×C₁₀₇)

	subgroup	G/H
center, hypercenter	C₁₃×C₁₀₇	D₉
commutator, cosocle, hypocenter	C₉	C₂×C₁₃×C₁₀₇
Frattini	C₃	D₃×C₁₃×C₁₀₇
Fitting	C₉×C₁₃×C₁₀₇	C₂
socle	C₃×C₁₃×C₁₀₇	D₃
LCS	G ▷ C₉
UCS	C₁ ◁ C₁₃×C₁₀₇

24 conjugacy classes of subgroups.

μ_t(G) = 12519

8346 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(25038, 6);