Finite Group Databasebeta

#2931×D83 #36268272

order21248
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C29

Aliases

direct product#2931×D83

Splittings

FittingC83×#2931 ⋊ C2
SylowC83 ⋊ C2×#2931

Subgroups

subgroupG/H
centerC2×C8C23×D83
commutator, socleC22×C83C24×C4
FrattiniC2×C4C24×D83
FittingC83×#2931C2
prime radical#532×D83C2
cosocleC2×C4×C83C25
hypercenter#2931D83
hypocenterC83C2×#2931
LCSG ▷ C22×C83 ▷ C83
UCSC1 ◁ C2×C8 ◁ #2931

2894 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 5312

Conjugacy classes & character table

2408 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(21248, 1033436);