C₇⋊#17984473 #44525937

order	30940
automorphism	?
homology	Abelianization (H₁) = C₄ · Schur multiplier (H₂) = C₁

Aliases

	subgroup	G/H
center, Frattini, hypercenter	C₁	G
commutator, Fitting, socle, hypocenter	C₅×C₇×C₁₃×C₁₇	C₄
prime radical, cosocle	C₅×C₇×C₁₃×D₁₇	C₂
LCS	G ▷ C₅×C₇×C₁₃×C₁₇
UCS	C₁

48 conjugacy classes of subgroups.

μ_t(G) = 7735

Polycyclic presentation:

2^2,5,7,13,17|a^2=b,c^a=c^4,d^a=d^6,e^a=e^12,f^a=f^13,f^b=f^16

2278 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(30940, 87);