Finite Group Databasebeta

#446×D269 #46819808

order34432
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C24

Aliases

direct product#446×D269

Splittings

Fitting#446×C269 ⋊ C2
SylowC269 ⋊ C2×#446

Subgroups

subgroupG/H
center, FrattiniC2×C4C23×D269
commutator, socleC22×C269C23×C4
Fitting#446×C269C2
prime radicalC22×D269C22×C4
cosocleC2×C4×C269C24
hypercenter#446D269
hypocenterC269C2×#446
LCSG ▷ C22×C269 ▷ C269
UCSC1 ◁ C2×C4 ◁ #446

400 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 17216

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, 13433);