D₉₅⋊D₇₇ #44418014

order	29260
automorphism	?
homology	Abelianization (H₁) = C₂² · Schur multiplier (H₂) = C₂

Aliases

D₉₅⋊D₇₇

	subgroup	G/H
center, Frattini, hypercenter	C₁	G
commutator, Fitting, socle, cosocle, hypocenter	C₅×C₇×C₁₁×C₁₉	C₂²
LCS	G ▷ C₅×C₇×C₁₁×C₁₉
UCS	C₁

80 conjugacy classes of subgroups.

μ_t(G) = 7315

Polycyclic presentation:

2^2,5,7,11,19|d^a=d^6,e^a=e^10,f^a=f^18,c^b=c^4,d^b=d^6,e^b=e^10

1906 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(29260, 79);