Finite Group Databasebeta

C2×#13130024 #16791689

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

Aliases

direct productC2×#13130024
unambiguous semidirect productD13⋊#1444

Splittings

FittingC2×C13×#95 ⋊ C4
SylowC13 ⋊ C2×#1444

Subgroups

subgroupG/H
centerC24C22×#261
commutatorC23×C13C23×C4
FrattiniC23C23×#261
FittingC2×C13×#95C4
socleC24×C13C22×C4
prime radicalC24×D13C23
cosocleC23×D13C24
hypercenterC2×#95#261
hypocenterC13C2×#1444
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C24 ◁ C2×#95

3550 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

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, 1098338);