Finite Group Databasebeta

#398×Dic83 #35326243

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

Aliases

direct product#398×Dic83

Splittings

SylowC83 ⋊ C4×#398

Subgroups

subgroupG/H
center, FrattiniC24C23×D83
commutatorC23×C83C23×C4
FittingC2×#398×C83C2
socle, prime radical, cosocleC24×C83C24
hypercenterC2×#398D83
hypocenterC83C4×#398
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C24 ◁ C2×#398

1574 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 21248

Conjugacy classes & character table

1892 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(21248, 91407);