Finite Group Databasebeta

#54873310

order43350
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C5×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:

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

Conjugacy classes & character table

Character table not available for this group.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(43350, 53);