Finite Group Databasebeta

#101×D439 #43243582

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

Aliases

direct product#101×D439

Splittings

Fitting#101×C439 ⋊ C2
SylowC439 ⋊ C2×#101

Subgroups

subgroupG/H
centerC2C22⋊C4×D439
commutatorC22×C439C22×C4
FrattiniC2×C4C22×D439
Fitting#101×C439C2
socleC2×C439C2×C22⋊C4
prime radicalC22×D439C2×C4
cosocleC2×C4×C439C23
hypercenter#101D439
hypocenterC439C2×#101
LCSG ▷ C22×C439 ▷ C2×C439 ▷ C439
UCSC1 ◁ C2 ◁ C2×C4 ◁ #101

146 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 7024

Conjugacy classes & character table

2431 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(28096, 527);