Finite Group Databasebeta

#387×D127 #30641150

order16256
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C24×C4

Aliases

direct product#387×D127

Splittings

Fitting#387×C127 ⋊ C2
SylowC127 ⋊ C2×#387

Subgroups

subgroupG/H
center, FrattiniC23C23×D127
commutatorC22×C127C23×C4
Fitting#387×C127C2
socle, cosocleC23×C127C24
prime radicalC23×D127C23
hypercenter#387D127
hypocenterC127C2×#387
LCSG ▷ C22×C127 ▷ C127
UCSC1 ◁ C23 ◁ #387

712 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, 6930);