Finite Group Databasebeta

#443×D151 #34077996

order19328
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C25

Aliases

direct product#443×D151

Splittings

Fitting#443×C151 ⋊ C2
SylowC151 ⋊ C2×#443

Subgroups

subgroupG/H
centerC8D4×D151
commutatorC4×C151C23×C4
FrattiniC2×C4C23×D151
Fitting#443×C151C2
socleC2×C151C2×C4×D4
prime radical#135×D151C2
cosocleC2×C4×C151C24
hypercenter#443D151
hypocenterC151C2×#443
LCSG ▷ C4×C151 ▷ C2×C151 ▷ C151
UCSC1 ◁ C8 ◁ C2×C8 ◁ #443

472 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 2416

Conjugacy classes & character table

2156 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(19328, 13396);