Finite Group Databasebeta

#103×Dic151 #34068932

order19328
automorphism?
homologyAbelianization (H1) = C2×C42 · Schur multiplier (H2) = C22×C4

Aliases

direct product#103×Dic151

Splittings

SylowC151 ⋊ C4×#103

Subgroups

subgroupG/H
centerC23D4×D151
commutatorC4×C151C2×C42
FrattiniC22×C4C22×D151
FittingC2×#103×C151C2
socle, prime radicalC23×C151C2×D4
cosocleC22×C4×C151C23
hypercenterC2×#103D151
hypocenterC151C4×#103
LCSG ▷ C4×C151 ▷ C2×C151 ▷ C151
UCSC1 ◁ C23 ◁ C22×C4 ◁ C2×#103

332 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 19328

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, 4332);