Finite Group Databasebeta

C2×#28381878 #43248239

order28352
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C24

Aliases

direct productC2×#28381878

Splittings

SylowC443 ⋊ C2×#125

Subgroups

subgroupG/H
centerC23C22×D443
commutator, cosocleC22×C443C24
FrattiniC22C23×D443
FittingC2×C42×C443C2
socle, prime radicalC23×C443C23
hypercenterC2×C42D443
hypocenterC443C2×#125
LCSG ▷ C22×C443 ▷ C443
UCSC1 ◁ C23 ◁ C2×C42

226 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 28352

Conjugacy classes & character table

7100 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(28352, 1071);