Finite Group Databasebeta

#95×D52 #15784390

order3328
automorphism?
homologyAbelianization (H1) = C22×C42 · Schur multiplier (H2) = C28

Aliases

direct product#95×D52

Splittings

FittingC4×C13×#95 ⋊ C2
SylowC13 ⋊ D4×#95

Subgroups

subgroupG/H
center, FrattiniC24C23×D13
commutatorC22×C13C22×C42
FittingC4×C13×#95C2
socle, cosocleC24×C13C24
prime radicalC23×D52C22
hypercenterC4×#95D13
hypocenterC13D4×#95
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C24 ◁ C4×#95

3562 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1664

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 91039);