Finite Group Databasebeta

C2×#13131640 #16808452

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

Aliases

direct productC2×#13131640

Splittings

SylowC13 ⋊ C2×C8×#41

Subgroups

subgroupG/H
centerC22×C4C22×#261
commutatorC2×C13C24×C8
FrattiniC22C24×#261
FittingC2×C13×#117C4
socleC23×C13C23×C4
prime radicalC22×#6127C4
cosocleC2×Dic13C25
hypercenterC2×#117#261
hypocenterC13C2×C8×#41
LCSG ▷ C2×C13 ▷ C13
UCSC1 ◁ C22×C4 ◁ C2×#117

2566 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1664

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1115101);