Finite Group Databasebeta

#106×D439 #43243633

order28096
automorphism?
homologyAbelianization (H1) = C22×C4 · Schur multiplier (H2) = C23

Aliases

direct product#106×D439

Splittings

Fitting#106×C439 ⋊ C2
SylowC439 ⋊ C2×#106

Subgroups

subgroupG/H
centerC22D4×D439
commutatorC4×C439C22×C4
FrattiniC2×C4C22×D439
Fitting#106×C439C2
socleC22×C439C2×D4
prime radicalC22×D439D4
cosocleC2×C4×C439C23
hypercenter#106D439
hypocenterC439C2×#106
LCSG ▷ C4×C439 ▷ C2×C439 ▷ C439
UCSC1 ◁ C22 ◁ C2×C4 ◁ #106

130 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 14048

Conjugacy classes & character table

3094 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(28096, 578);