Finite Group Databasebeta

C2×#13131751 #16808859

order3328
automorphism?
homologyAbelianization (H1) = C24×C8 · Schur multiplier (H2) = C29

Aliases

direct productC2×#13131751

Splittings

SylowC13 ⋊ C2×#2988

Subgroups

subgroupG/H
centerC23C23×#261
commutatorC2×C13C24×C8
FrattiniC22C24×#261
Fitting, prime radicalC22×C13×#41C4
socleC23×C13C23×C4
cosocleC2×Dic13C25
hypercenterC22×#41#261
hypocenterC13C2×#2988
LCSG ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C22×#41

2434 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1664

Conjugacy classes & character table

256 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1115508);