Finite Group Databasebeta

#407×D269 #46819318

order34432
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C26

Aliases

direct product#407×D269

Splittings

Fitting#407×C269 ⋊ C2
SylowC269 ⋊ C2×#407

Subgroups

subgroupG/H
center, FrattiniC2×C4C23×D269
commutator, socleC22×C269C23×C4
Fitting#407×C269C2
prime radicalC24×D269C4
cosocleC2×C4×C269C24
hypercenter#407D269
hypocenterC269C2×#407
LCSG ▷ C22×C269 ▷ C269
UCSC1 ◁ C2×C4 ◁ #407

1008 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 4304

Conjugacy classes & character table

3808 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34432, 12943);