Finite Group Databasebeta

C2×#23752145 #34072343

order19328
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C25

Aliases

direct productC2×#23752145

Splittings

SylowC151 ⋊ C2×#398

Subgroups

subgroupG/H
centerC24C22×D151
commutator, cosocleC23×C151C24
FrattiniC23C23×D151
FittingC22×C4⋊C4×C151C2
socle, prime radicalC24×C151C23
hypercenterC22×C4⋊C4D151
hypocenterC151C2×#398
LCSG ▷ C23×C151 ▷ C151
UCSC1 ◁ C24 ◁ C22×C4⋊C4

692 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 19328

Conjugacy classes & character table

3044 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(19328, 7743);