C₉⋊#15668503 #39907784

order	26100
automorphism	?
homology	Abelianization (H₁) = C₄ · Schur multiplier (H₂) = C₁

Aliases

	subgroup	G/H
center, hypercenter	C₁	G
commutator, Fitting, hypocenter	C₉×C₂₅×C₂₉	C₄
Frattini	C₃×C₅	C₃⋊#10596815
socle	C₃×C₅×C₂₉	ΓL(1,𝔽₁₆)
prime radical	C₃×D₇₂₅	D₃
cosocle	C₉×D₇₂₅	C₂
LCS	G ▷ C₉×C₂₅×C₂₉
UCS	C₁

54 conjugacy classes of subgroups.

μ_t(G) = 6525

Polycyclic presentation:

2^2,3,5,29,3,5|a^2=b,c^3=f^2,d^5=g,c^a=c^2f,d^a=d^2g,e^a=e^12,f^a=f^2,g^a=g^2,d^b=d^4g^4,e^b=e^28,g^b=g^4

1641 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(26100, 18);