Finite Group Databasebeta

#2102×D83 #35434367

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

Aliases

direct product#2102×D83

Splittings

FittingC83×#2102 ⋊ C2
SylowC83 ⋊ C2×#2102

Subgroups

subgroupG/H
centerC4#124×D83
commutator, cosocleC22×C4×C83C24
FrattiniC22×C4C23×D83
FittingC83×#2102C2
socleC2×C83C2×#400
prime radicalC23×D83#41
hypercenter#2102D83
hypocenterC83C2×#2102
LCSG ▷ C22×C4×C83 ▷ C2×C83 ▷ C83
UCSC1 ◁ C4 ◁ C22×C4 ◁ #2102

710 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1328

Conjugacy classes & character table

1118 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(21248, 199531);