C₇²×C₁₇×D₁₅ #38735997

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

Aliases

direct product	C₇²×C₁₇×D₁₅
unambiguous semidirect product	C₃⋊(C₇²×D₅×C₁₇)
unambiguous semidirect product	C₅⋊(D₃×C₇²×C₁₇)

	subgroup	G/H
center, hypercenter	C₇²×C₁₇	D₁₅
commutator, cosocle, hypocenter	C₃×C₅	C₂×C₇²×C₁₇
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₇²×C₁₇	C₂
LCS	G ▷ C₃×C₅
UCS	C₁ ◁ C₇²×C₁₇

160 conjugacy classes of subgroups.

μ_t(G) = 12495

7497 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(24990, 87);