Finite Group Databasebeta

#2183×D83 #35557887

order21248
automorphism?
homologyAbelianization (H1) = C23×C8 · Schur multiplier (H2) = C24

Aliases

direct product#2183×D83

Splittings

FittingC83×#2183 ⋊ C2
SylowC83 ⋊ C2×#2183

Subgroups

subgroupG/H
center, FrattiniC2×C8C23×D83
commutator, socleC22×C83C23×C8
FittingC83×#2183C2
prime radicalC22×D83C22×C8
cosocleC2×C8×C83C24
hypercenter#2183D83
hypocenterC83C2×#2183
LCSG ▷ C22×C83 ▷ C83
UCSC1 ◁ C2×C8 ◁ #2183

542 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 10624

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, 323051);