Finite Group Databasebeta

C2×C499⋊#95 #44542942

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

Aliases

direct productC2×C499⋊#95
unambiguous semidirect product(C2×C499)⋊#95

Splittings

SylowC499 ⋊ C2×#95

Subgroups

subgroupG/H
centerC24C2×D499
commutatorC2×C499C2×C42
FrattiniC23C22×D499
FittingC23×C4×C499C2
socle, prime radicalC24×C499C22
cosocleC23×C499C23
hypercenterC23×C4D499
hypocenterC499C2×#95
LCSG ▷ C2×C499 ▷ C499
UCSC1 ◁ C24 ◁ C23×C4

330 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 31936

Conjugacy classes & character table

8008 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31936, 393);