Finite Group Databasebeta

C2×#13117048 #16017801

order3328
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C24

Aliases

direct productC2×#13117048

Splittings

SylowC13 ⋊ C2×#2238

Subgroups

subgroupG/H
centerC22#11718695
commutator, cosocleC2×C8×C13C24
FrattiniC2×C8C23×D13
Fitting, prime radicalC2×C13×#469C2
socleC22×C13#481
hypercenterC2×#469D13
hypocenterC13C2×#2238
LCSG ▷ C2×C8×C13 ▷ C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C22 ◁ C22×C4 ◁ C22×M16 ◁ C2×#469

604 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 416

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, 324450);