Finite Group Databasebeta

C2×#13129892 #16789089

order3328
automorphism?
homologyAbelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C24

Aliases

direct productC2×#13129892

Splittings

FittingC2×C13×M32 ⋊ C4
SylowC13 ⋊ C2×#1379

Subgroups

subgroupG/H
centerC2×C8C22⋊#261
commutatorC4×C13C2×C4×C8
FrattiniC2×C8C22×#261
FittingC2×C13×M32C4
socleC22×C13#336
prime radicalC23×D13M16
cosocleC2×C8×D13C23
hypercenterC2×M32#261
hypocenterC13C2×#1379
LCSG ▷ C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C2×C8 ◁ C22×C8 ◁ C2×M32

606 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

Conjugacy classes & character table

232 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1095738);