Finite Group Databasebeta

#387×D269 #46813305

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

Aliases

direct product#387×D269

Splittings

Fitting#387×C269 ⋊ C2
SylowC269 ⋊ C2×#387

Subgroups

subgroupG/H
center, FrattiniC23C23×D269
commutatorC22×C269C23×C4
Fitting#387×C269C2
socle, cosocleC23×C269C24
prime radicalC23×D269C23
hypercenter#387D269
hypocenterC269C2×#387
LCSG ▷ C22×C269 ▷ C269
UCSC1 ◁ C23 ◁ #387

712 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, 6930);