Finite Group Databasebeta

#56058666

order45084
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C17

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:

2,3,2,13,17^2|a^2=c,d^a=d^5,d^b=d^3,e^b=e^12f^6,f^b=e^5f^4,d^c=d^12

Conjugacy classes & character table

Character table not available for this group.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(45084, 85);