C₃×C₁₃×D₄₂₅ #45684125

order	33150
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₁₃ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₃×C₁₃×D₄₂₅
unambiguous semidirect product	C₁₇⋊(C₃×C₁₃×D₂₅)
unambiguous semidirect product	C₂₅⋊(C₃×C₁₃×D₁₇)

	subgroup	G/H
center, hypercenter	C₃×C₁₃	D₄₂₅
commutator, cosocle, hypocenter	C₁₇×C₂₅	C₂×C₃×C₁₃
Frattini	C₅	C₃×C₁₃×D₈₅
Fitting	C₃×C₁₃×C₁₇×C₂₅	C₂
socle	C₃×C₅×C₁₃×C₁₇	D₅
LCS	G ▷ C₁₇×C₂₅
UCS	C₁ ◁ C₃×C₁₃

48 conjugacy classes of subgroups.

μ_t(G) = 16575

8346 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33150, 7);