Finite Group Databasebeta

#389×D227 #44402181

order29056
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C26

Aliases

direct product#389×D227

Splittings

Fitting#389×C227 ⋊ C2
SylowC227 ⋊ C2×#389

Subgroups

subgroupG/H
center, FrattiniC23C23×D227
commutatorC22×C227C23×C4
Fitting#389×C227C2
socle, cosocleC23×C227C24
prime radicalC23×D227C23
hypercenter#389D227
hypocenterC227C2×#389
LCSG ▷ C22×C227 ▷ C227
UCSC1 ◁ C23 ◁ #389

800 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 14528

Conjugacy classes & character table

3220 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(29056, 6957);