Finite Group Databasebeta

#54873306

order43350
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:

2,3,5^2,17^2|b^a=b^2,c^a=cd,d^a=d^4,e^a=ef,f^a=f^16,c^b=c^3d^4,d^b=c^3d,e^b=e^14f^2,f^b=e^5f^2

Conjugacy classes & character table

Character table not available for this group.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(43350, 49);