Finite Group Databasebeta

#2982×D83 #36269340

order21248
automorphism?
homologyAbelianization (H1) = C24×C8 · Schur multiplier (H2) = C29

Aliases

direct product#2982×D83

Splittings

FittingC83×#2982 ⋊ C2
SylowC83 ⋊ C2×#2982

Subgroups

subgroupG/H
center, FrattiniC2×C4C24×D83
commutatorC2×C83C24×C8
FittingC83×#2982C2
socleC22×C83C24×C4
prime radicalC23×D83C22×C4
cosocleC2×C4×C83C25
hypercenter#2982D83
hypocenterC83C2×#2982
LCSG ▷ C2×C83 ▷ C83
UCSC1 ◁ C2×C4 ◁ #2982

2234 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 5312

Conjugacy classes & character table

2924 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(21248, 1034504);