Finite Group Databasebeta

#44524741

order30848
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C22

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:

2^7,241|a^2=d,d^2=e,e^2=f,f^2=g,h^a=h^111,c^b=cg,h^d=h^30,h^e=h^177,h^f=h^240

Conjugacy classes & character table

Character table not available for this group.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(30848, 21806);