Finite Group Databasebeta

#60677174

order49980
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C1

Aliases

No aliases for this group.

Subgroups

subgroupG/H
center?
commutator?
Frattini?
hypercenter?
hypocenter?
LCS?
UCS?

Subgroup lattice not available for this group.

Presentation

Polycyclic presentation:

2^2,3,5,7,17,7|a^2=b,e^7=g^6,c^a=c^2,d^a=d^2,e^a=e^6g,f^a=f^16,g^a=g^6,d^b=d^4

Conjugacy classes & character table

Character table not available for this group.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(49980, 86);