Finite Group Databasebeta

#407×D109 #28371465

order13952
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C26

Aliases

direct product#407×D109

Splittings

Fitting#407×C109 ⋊ C2
SylowC109 ⋊ C2×#407

Subgroups

subgroupG/H
center, FrattiniC2×C4C23×D109
commutator, socleC22×C109C23×C4
Fitting#407×C109C2
prime radicalC24×D109C4
cosocleC2×C4×C109C24
hypercenter#407D109
hypocenterC109C2×#407
LCSG ▷ C22×C109 ▷ C109
UCSC1 ◁ C2×C4 ◁ #407

1008 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1744

Conjugacy classes & character table

1568 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(13952, 12943);