Finite Group Databasebeta

C2×#13131396 #16808005

order3328
automorphism?
homologyAbelianization (H1) = C23×C42 · Schur multiplier (H2) = C28×C4

Aliases

direct productC2×#13131396

Splittings

SylowC13 ⋊ C22×#405

Subgroups

subgroupG/H
centerC22×C4C22×#261
commutatorC2×C13C23×C42
FrattiniC22C24×#261
FittingC2×C13×#117C4
socleC23×C13C23×C4
prime radicalC24×D13C2×C4
cosocleC2×Dic13C25
hypercenterC2×#117#261
hypocenterC13C22×#405
LCSG ▷ C2×C13 ▷ C13
UCSC1 ◁ C22×C4 ◁ C2×#117

3518 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

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, 1114654);