C₉⋊#14579330 #37524592

order	22932
automorphism	?
homology	Abelianization (H₁) = C₄ · Schur multiplier (H₂) = C₇

Aliases

	subgroup	G/H
center, hypercenter	C₁	G
commutator, Fitting, hypocenter	C₇²×C₉×C₁₃	C₄
Frattini	C₃	C₃⋊#14579330
socle	C₃×C₇²×C₁₃	Dic₃
prime radical	C₃×C₇⋊D₉₁	D₃
cosocle	C₉×C₇⋊D₉₁	C₂
LCS	G ▷ C₇²×C₉×C₁₃
UCS	C₁

84 conjugacy classes of subgroups.

μ_t(G) = 1638

Polycyclic presentation:

2^2,3,7^2,13,3|a^2=b,c^3=g^2,c^a=c^2g,d^a=d^4e^6,e^a=d^3e^3,f^a=f^5,g^a=g^2,d^b=d^6,e^b=e^6,f^b=f^12

1443 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22932, 537);