Finite Group Databasebeta

C2×#34039277 #49183237

order37952
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C24

Aliases

direct productC2×#34039277

Splittings

SylowC593 ⋊ C2×#125

Subgroups

subgroupG/H
centerC23C22×D593
commutator, cosocleC22×C593C24
FrattiniC22C23×D593
FittingC2×C42×C593C2
socle, prime radicalC23×C593C23
hypercenterC2×C42D593
hypocenterC593C2×#125
LCSG ▷ C22×C593 ▷ C593
UCSC1 ◁ C23 ◁ C2×C42

226 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 37952

Conjugacy classes & character table

9500 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(37952, 1071);