C₃⋊D₃×C₁₃₉₉ #38737819

order	25182
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₃₉₉ · Schur multiplier (H₂) = C₃

Aliases

direct product	C₃⋊D₃×C₁₃₉₉
unambiguous semidirect product	C₃⋊(D₃×C₁₃₉₉)

Fitting, socle, Hall	C₃²×C₁₃₉₉ ⋊ C₂
derived, Sylow	C₃² ⋊ C₂×C₁₃₉₉

	subgroup	G/H
center, hypercenter	C₁₃₉₉	C₃⋊D₃
commutator, cosocle, hypocenter	C₃²	C₂×C₁₃₉₉
Frattini	C₁	G
Fitting, socle	C₃²×C₁₃₉₉	C₂
LCS	G ▷ C₃²
UCS	C₁ ◁ C₁₃₉₉

24 conjugacy classes of subgroups.

μ_t(G) = 12591

8394 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(25182, 15);