C₁₃×C₁₇×D₇₅ #45684132

order	33150
automorphism	?
homology	Abelianization (H₁) = C₂×C₁₃×C₁₇ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₁₃×C₁₇×D₇₅
unambiguous semidirect product	C₃⋊(C₁₃×C₁₇×D₂₅)
unambiguous semidirect product	C₂₅⋊(D₃×C₁₃×C₁₇)

	subgroup	G/H
center, hypercenter	C₁₃×C₁₇	D₇₅
commutator, cosocle, hypocenter	C₃×C₂₅	C₂×C₁₃×C₁₇
Frattini	C₅	C₁₃×C₁₇×D₁₅
Fitting	C₃×C₁₃×C₁₇×C₂₅	C₂
socle	C₃×C₅×C₁₃×C₁₇	D₅
LCS	G ▷ C₃×C₂₅
UCS	C₁ ◁ C₁₃×C₁₇

48 conjugacy classes of subgroups.

μ_t(G) = 16575

8619 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33150, 14);