C₅×C₁₇×D₁₄₇ #38735922

order	24990
automorphism	?
homology	Abelianization (H₁) = C₂×C₅×C₁₇ · Schur multiplier (H₂) = C₁

Aliases

direct product	C₅×C₁₇×D₁₄₇
unambiguous semidirect product	C₃⋊(C₅×C₁₇×D₄₉)
unambiguous semidirect product	C₄₉⋊(C₅×D₃×C₁₇)

	subgroup	G/H
center, hypercenter	C₅×C₁₇	D₁₄₇
commutator, cosocle, hypocenter	C₃×C₄₉	C₂×C₅×C₁₇
Frattini	C₇	C₅×C₁₇×D₂₁
Fitting	C₃×C₅×C₁₇×C₄₉	C₂
socle	C₃×C₅×C₇×C₁₇	D₇
LCS	G ▷ C₃×C₄₉
UCS	C₁ ◁ C₅×C₁₇

48 conjugacy classes of subgroups.

μ_t(G) = 12495

6375 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(24990, 12);