Finite Group Databasebeta

#408×D151 #34077547

order19328
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C26

Aliases

direct product#408×D151

Splittings

Fitting#408×C151 ⋊ C2
SylowC151 ⋊ C2×#408

Subgroups

subgroupG/H
center, FrattiniC2×C4C23×D151
commutator, socleC22×C151C23×C4
Fitting#408×C151C2
prime radicalC2×#41×D151C2
cosocleC2×C4×C151C24
hypercenter#408D151
hypocenterC151C2×#408
LCSG ▷ C22×C151 ▷ C151
UCSC1 ◁ C2×C4 ◁ #408

792 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 4832

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, 12947);