Finite Group Databasebeta

#95×D499 #44542941

order31936
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C25

Aliases

direct product#95×D499

Splittings

Fitting#95×C499 ⋊ C2
SylowC499 ⋊ C2×#95

Subgroups

subgroupG/H
center, FrattiniC23C22×D499
commutatorC2×C499C2×C42
Fitting#95×C499C2
socle, cosocleC23×C499C23
prime radicalC23×D499C22
hypercenter#95D499
hypocenterC499C2×#95
LCSG ▷ C2×C499 ▷ C499
UCSC1 ◁ C23 ◁ #95

330 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 15968

Conjugacy classes & character table

5020 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31936, 392);