Finite Group Databasebeta

#408×D269 #46819322

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

Aliases

direct product#408×D269

Splittings

Fitting#408×C269 ⋊ C2
SylowC269 ⋊ C2×#408

Subgroups

subgroupG/H
center, FrattiniC2×C4C23×D269
commutator, socleC22×C269C23×C4
Fitting#408×C269C2
prime radicalC2×#41×D269C2
cosocleC2×C4×C269C24
hypercenter#408D269
hypocenterC269C2×#408
LCSG ▷ C22×C269 ▷ C269
UCSC1 ◁ C2×C4 ◁ #408

792 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 8608

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, 12947);