Finite Group Databasebeta

#44524565

order30848
automorphism?
homologyAbelianization (H1) = ? · Schur multiplier (H2) = C22×C4

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=e,c^2=f,d^2=f,e^2=g,b^a=bd,d^a=df,h^a=h^30,c^b=cf,d^b=df,h^e=h^177,h^g=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, 21630);