#28593377

order	15104
automorphism	?
homology	Abelianization (H₁) = C₂³×C₄ · Schur multiplier (H₂) = C₂²×C₄

Aliases

No aliases for this group.

	subgroup	G/H
center, Frattini	C₂²×C₄	C₂³×D₅₉
commutator, socle, prime radical	C₂³×C₅₉	C₂³×C₄
Fitting	C₅₉×#1940	C₂
cosocle	C₂²×C₄×C₅₉	C₂⁴
hypercenter	#1940	D₅₉
hypocenter	C₅₉	#21340
LCS	G ▷ C₂³×C₅₉ ▷ C₅₉
UCS	C₁ ◁ C₂²×C₄ ◁ #1940

766 conjugacy classes of subgroups.

μ_t(G) = 15104

Polycyclic presentation:

2^8,59|a^2=g,b^2=fg,c^2=f,d^2=e,g^2=h,b^a=be,c^a=cf,c^b=ch,i^d=i^58

1364 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(15104, 174256);