Finite Group Databasebeta

#376×D281 #49097628

order35968
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C24×C42

Aliases

direct product#376×D281

Splittings

Fitting#376×C281 ⋊ C2
SylowC281 ⋊ C2×#376

Subgroups

subgroupG/H
centerC22×C4C22×D281
commutatorC2×C281C22×C42
FrattiniC23C23×D281
Fitting#376×C281C2
socle, cosocleC23×C281C24
prime radicalC23×D281C23
hypercenter#376D281
hypocenterC281C2×#376
LCSG ▷ C2×C281 ▷ C281
UCSC1 ◁ C22×C4 ◁ #376

840 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 17984

Conjugacy classes & character table

5680 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(35968, 6835);