Finite Group Databasebeta

#1961×D83 #35408055

order21248
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C26×C4

Aliases

direct product#1961×D83

Splittings

FittingC83×#1961 ⋊ C2
SylowC83 ⋊ C2×#1961

Subgroups

subgroupG/H
centerC23C2×D4×D83
commutatorC2×C4×C83C23×C4
FrattiniC22×C4C23×D83
FittingC83×#1961C2
socleC23×C83C22×D4
prime radicalC2×#127×D83C2
cosocleC22×C4×C83C24
hypercenter#1961D83
hypocenterC83C2×#1961
LCSG ▷ C2×C4×C83 ▷ C2×C83 ▷ C83
UCSC1 ◁ C23 ◁ C2×C42 ◁ #1961

2286 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 5312

Conjugacy classes & character table

1376 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(21248, 173219);