Finite Group Databasebeta

#103×Dic269 #46810707

order34432
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C22×C4

Aliases

direct product#103×Dic269

Splittings

SylowC269 ⋊ C4×#103

Subgroups

subgroupG/H
centerC23D4×D269
commutatorC4×C269C2×C42
FrattiniC22×C4C22×D269
FittingC2×#103×C269C2
socle, prime radicalC23×C269C2×D4
cosocleC22×C4×C269C23
hypercenterC2×#103D269
hypocenterC269C4×#103
LCSG ▷ C4×C269 ▷ C2×C269 ▷ C269
UCSC1 ◁ C23 ◁ C22×C4 ◁ C2×#103

332 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 34432

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, 4332);