D₁₅⋊D₄₃₇ #39910796

order	26220
automorphism	?
homology	Abelianization (H₁) = C₂² · Schur multiplier (H₂) = C₂

Aliases

D₁₅⋊D₄₃₇

	subgroup	G/H
center, Frattini, hypercenter	C₁	G
commutator, Fitting, socle, cosocle, hypocenter	C₃×C₅×C₁₉×C₂₃	C₂²
LCS	G ▷ C₃×C₅×C₁₉×C₂₃
UCS	C₁

80 conjugacy classes of subgroups.

μ_t(G) = 6555

Polycyclic presentation:

2^2,3,5,19,23|d^a=d^4,e^a=e^18,f^a=f^22,c^b=c^2,d^b=d^4

1974 conjugacy classes. The character table is too large to display.

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(26220, 86);