C₃×C₁₉×D₂₇₅ #44535437

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

Aliases

direct product	C₃×C₁₉×D₂₇₅
unambiguous semidirect product	C₁₁⋊(C₃×C₁₉×D₂₅)
unambiguous semidirect product	C₂₅⋊(C₃×C₁₉×D₁₁)

	subgroup	G/H
center, hypercenter	C₃×C₁₉	D₂₇₅
commutator, cosocle, hypocenter	C₁₁×C₂₅	C₂×C₃×C₁₉
Frattini	C₅	C₃×C₁₉×D₅₅
Fitting	C₃×C₁₁×C₁₉×C₂₅	C₂
socle	C₃×C₅×C₁₁×C₁₉	D₅
LCS	G ▷ C₁₁×C₂₅
UCS	C₁ ◁ C₃×C₁₉

48 conjugacy classes of subgroups.

μ_t(G) = 15675

7923 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31350, 10);