Finite Group Databasebeta

#376×D127 #30641055

order16256
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C42

Aliases

direct product#376×D127

Splittings

Fitting#376×C127 ⋊ C2
SylowC127 ⋊ C2×#376

Subgroups

subgroupG/H
centerC22×C4C22×D127
commutatorC2×C127C22×C42
FrattiniC23C23×D127
Fitting#376×C127C2
socle, cosocleC23×C127C24
prime radicalC23×D127C23
hypercenter#376D127
hypocenterC127C2×#376
LCSG ▷ C2×C127 ▷ C127
UCSC1 ◁ C22×C4 ◁ #376

840 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

2600 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(16256, 6835);