Finite Group Databasebeta

C2×#13130445 #16795268

order3328
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C24

Aliases

direct productC2×#13130445

Splittings

SylowC13 ⋊ C2×#1583

Subgroups

subgroupG/H
centerC23D4×#261
commutatorC2×C4×C13C23×C4
FrattiniC2×C4C23×#261
FittingC22×C13×SD16C4
socleC23×C13C4×D4
prime radicalC22×D4×C13C2×C4
cosocleC4×Dic13C24
hypercenterC22×SD16#261
hypocenterC13C2×#1583
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C22×C4 ◁ C22×SD16

750 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1664

Conjugacy classes & character table

160 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1101917);