Finite Group Databasebeta

#95×D439 #43243447

order28096
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C25

Aliases

direct product#95×D439

Splittings

Fitting#95×C439 ⋊ C2
SylowC439 ⋊ C2×#95

Subgroups

subgroupG/H
center, FrattiniC23C22×D439
commutatorC2×C439C2×C42
Fitting#95×C439C2
socle, cosocleC23×C439C23
prime radicalC23×D439C22
hypercenter#95D439
hypocenterC439C2×#95
LCSG ▷ C2×C439 ▷ C439
UCSC1 ◁ C23 ◁ #95

330 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 14048

Conjugacy classes & character table

4420 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(28096, 392);