Finite Group Databasebeta

C2×#28381893 #43248480

order28352
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C25

Aliases

direct productC2×#28381893

Splittings

SylowC443 ⋊ C2×#131

Subgroups

subgroupG/H
centerC2×C4C22×D443
commutatorC2×C443C23×C4
FrattiniC4C23×D443
Fitting, prime radicalC2×#41×C443C2
socleC22×C443C22×C4
cosocleC4×C443C24
hypercenterC2×#41D443
hypocenterC443C2×#131
LCSG ▷ C2×C443 ▷ C443
UCSC1 ◁ C2×C4 ◁ C2×#41

266 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 14176

Conjugacy classes & character table

4460 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(28352, 1312);