Finite Group Databasebeta

#1966×D83 #35408170

order21248
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C25×C4

Aliases

direct product#1966×D83

Splittings

FittingC83×#1966 ⋊ C2
SylowC83 ⋊ C2×#1966

Subgroups

subgroupG/H
centerC22C2×C22⋊C4×D83
commutatorC23×C83C23×C4
FrattiniC22×C4C23×D83
FittingC83×#1966C2
socleC22×C83C22×C22⋊C4
prime radicalC23×D83C22×C4
cosocleC22×C4×C83C24
hypercenter#1966D83
hypocenterC83C2×#1966
LCSG ▷ C23×C83 ▷ C2×C83 ▷ C83
UCSC1 ◁ C22 ◁ C2×C42 ◁ #1966

1518 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, 173334);