Finite Group Databasebeta

#121×Dic127 #30641244

order16256
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C26

Aliases

direct product#121×Dic127

Splittings

SylowC127 ⋊ C4×#121

Subgroups

subgroupG/H
center, FrattiniC23C23×D127
commutatorC22×C127C23×C4
Fitting, prime radicalC2×#121×C127C2
socle, cosocleC23×C127C24
hypercenterC2×#121D127
hypocenterC127C4×#121
LCSG ▷ C22×C127 ▷ C127
UCSC1 ◁ C23 ◁ C2×#121

824 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, 7024);