Finite Group Databasebeta

#383×D227 #44402122

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

Aliases

direct product#383×D227

Splittings

Fitting#383×C227 ⋊ C2
SylowC227 ⋊ C2×#383

Subgroups

subgroupG/H
center, FrattiniC23C23×D227
commutatorC22×C227C23×C4
Fitting#383×C227C2
socle, cosocleC23×C227C24
prime radicalC23×D227C23
hypercenter#383D227
hypocenterC227C2×#383
LCSG ▷ C22×C227 ▷ C227
UCSC1 ◁ C23 ◁ #383

624 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, 6898);