Finite Group Databasebeta

#97×D439 #43243551

order28096
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C23

Aliases

direct product#97×D439

Splittings

Fitting#97×C439 ⋊ C2
SylowC439 ⋊ C2×#97

Subgroups

subgroupG/H
center, FrattiniC2×C4C22×D439
commutatorC2×C439C2×C42
Fitting#97×C439C2
socleC22×C439C22×C4
prime radicalC22×D439C2×C4
cosocleC2×C4×C439C23
hypercenter#97D439
hypocenterC439C2×#97
LCSG ▷ C2×C439 ▷ C439
UCSC1 ◁ C2×C4 ◁ #97

146 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, 496);