C₃×C₁₁×C₁₉×D₂₅ #44535435

order	31350
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₁₁×C₁₉ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₃×C₁₁×C₁₉×D₂₅
unambiguous semidirect product	C₂₅⋊(C₂×C₃×C₁₁×C₁₉)

	subgroup	G/H
center, hypercenter	C₃×C₁₁×C₁₉	D₂₅
commutator, cosocle, hypocenter	C₂₅	C₂×C₃×C₁₁×C₁₉
Frattini	C₅	C₃×D₅×C₁₁×C₁₉
Fitting	C₃×C₁₁×C₁₉×C₂₅	C₂
socle	C₃×C₅×C₁₁×C₁₉	D₅
LCS	G ▷ C₂₅
UCS	C₁ ◁ C₃×C₁₁×C₁₉

48 conjugacy classes of subgroups.

μ_t(G) = 15675

8778 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31350, 8);