Finite Group Databasebeta

#1964×D83 #35408145

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

Aliases

direct product#1964×D83

Splittings

FittingC83×#1964 ⋊ C2
SylowC83 ⋊ C2×#1964

Subgroups

subgroupG/H
centerC22C2×C22⋊C4×D83
commutatorC23×C83C23×C4
FrattiniC24C23×D83
FittingC83×#1964C2
socleC22×C83C22×C22⋊C4
prime radicalC2×#121×D83C2
cosocleC24×C83C24
hypercenter#1964D83
hypocenterC83C2×#1964
LCSG ▷ C23×C83 ▷ C2×C83 ▷ C83
UCSC1 ◁ C22 ◁ C23×C4 ◁ #1964

2218 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 2656

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, 173309);