Finite Group Databasebeta

#2990×D83 #36269461

order21248
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C28

Aliases

direct product#2990×D83

Splittings

FittingC83×#2990 ⋊ C2
SylowC83 ⋊ C2×#2990

Subgroups

subgroupG/H
center, FrattiniC2×C4C24×D83
commutator, socleC22×C83C24×C4
FittingC83×#2990C2
prime radicalC2×#41×D83C4
cosocleC2×C4×C83C25
hypercenter#2990D83
hypocenterC83C2×#2990
LCSG ▷ C22×C83 ▷ C83
UCSC1 ◁ C2×C4 ◁ #2990

2210 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 5312

Conjugacy classes & character table

2150 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(21248, 1034625);