C₅×C₇²×D₅₁ #38735992

order	24990
automorphism	?
homology	Abelianization (H₁) = C₂×C₅×C₇² · Schur multiplier (H₂) = C₇

Aliases

direct product	C₅×C₇²×D₅₁
unambiguous semidirect product	C₃⋊(C₅×C₇²×D₁₇)
unambiguous semidirect product	C₁₇⋊(C₅×D₃×C₇²)

	subgroup	G/H
center, hypercenter	C₅×C₇²	D₅₁
commutator, cosocle, hypocenter	C₃×C₁₇	C₂×C₅×C₇²
Frattini	C₁	G
Fitting, socle	C₃×C₅×C₇²×C₁₇	C₂
LCS	G ▷ C₃×C₁₇
UCS	C₁ ◁ C₅×C₇²

160 conjugacy classes of subgroups.

μ_t(G) = 12495

6615 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(24990, 82);