Finite Group Databasebeta

C2×#23751954 #34067694

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

Aliases

direct productC2×#23751954

Splittings

SylowC151 ⋊ C2×#330

Subgroups

subgroupG/H
centerC23C22⋊Dic151
commutatorC2×C4×C151C22×C4
FrattiniC42C22×D151
FittingC2×#125×C151C2
socle, prime radicalC23×C151C22⋊C4
cosocleC42×C151C23
hypercenterC2×#125D151
hypocenterC151C2×#330
LCSG ▷ C2×C4×C151 ▷ C22×C151 ▷ C151
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#125

232 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 19328

Conjugacy classes & character table

2138 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(19328, 3094);