Finite Group Databasebeta

#386×D227 #44402148

order29056
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C28

Aliases

direct product#386×D227

Splittings

Fitting#386×C227 ⋊ C2
SylowC227 ⋊ C2×#386

Subgroups

subgroupG/H
center, FrattiniC23C23×D227
commutatorC22×C227C23×C4
Fitting#386×C227C2
socle, cosocleC23×C227C24
prime radicalC22×D4×D227C2
hypercenter#386D227
hypocenterC227C2×#386
LCSG ▷ C22×C227 ▷ C227
UCSC1 ◁ C23 ◁ #386

1576 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 7264

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, 6924);