C₁₁×C₁₉×D₇₅ #44535443

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

Aliases

direct product	C₁₁×C₁₉×D₇₅
unambiguous semidirect product	C₃⋊(C₁₁×C₁₉×D₂₅)
unambiguous semidirect product	C₂₅⋊(D₃×C₁₁×C₁₉)

	subgroup	G/H
center, hypercenter	C₁₁×C₁₉	D₇₅
commutator, cosocle, hypocenter	C₃×C₂₅	C₂×C₁₁×C₁₉
Frattini	C₅	C₁₁×C₁₉×D₁₅
Fitting	C₃×C₁₁×C₁₉×C₂₅	C₂
socle	C₃×C₅×C₁₁×C₁₉	D₅
LCS	G ▷ C₃×C₂₅
UCS	C₁ ◁ C₁₁×C₁₉

48 conjugacy classes of subgroups.

μ_t(G) = 15675

8151 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31350, 16);