Finite Group Databasebeta

C2×#13131757 #16808867

order3328
automorphism?
homologyAbelianization (H1) = C24×C4 · Schur multiplier (H2) = C28

Aliases

direct productC2×#13131757

Splittings

SylowC13 ⋊ C2×#2989

Subgroups

subgroupG/H
centerC23C23×#261
commutatorC22×C13C24×C4
FrattiniC22C24×#261
FittingC2×C13×#117C4
socleC23×C13C23×C4
prime radicalC22×#6127C4
cosocleC2×Dic13C25
hypercenterC2×#117#261
hypocenterC13C2×#2989
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×#117

2154 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1664

Conjugacy classes & character table

208 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1115516);