Finite Group Databasebeta

#529×D127 #30651988

order16256
automorphism?
homologyAbelianization (H1) = C25 · Schur multiplier (H2) = C28

Aliases

direct product#529×D127

Splittings

Fitting#529×C127 ⋊ C2
SylowC127 ⋊ C2×#529

Subgroups

subgroupG/H
centerC2×C4C23×D127
commutator, socle, cosocleC22×C127C25
FrattiniC22C24×D127
Fitting#529×C127C2
prime radical#121×D127C2
hypercenter#529D127
hypocenterC127C2×#529
LCSG ▷ C22×C127 ▷ C127
UCSC1 ◁ C2×C4 ◁ #529

1232 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

1820 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(16256, 17768);