C₃×C₇²×D₅×C₁₇ #38735985

order	24990
automorphism	?
homology	Abelianization (H₁) = C₂×C₃×C₇²×C₁₇ · Schur multiplier (H₂) = C₇

Aliases

direct product	C₃×C₇²×D₅×C₁₇
unambiguous semidirect product	C₅⋊(C₂×C₃×C₇²×C₁₇)

	subgroup	G/H
center, hypercenter	C₃×C₇²×C₁₇	D₅
commutator, cosocle, hypocenter	C₅	C₂×C₃×C₇²×C₁₇
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₇²×C₁₇	C₂
LCS	G ▷ C₅
UCS	C₁ ◁ C₃×C₇²×C₁₇

160 conjugacy classes of subgroups.

μ_t(G) = 12495

9996 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(24990, 75);