Finite Group Databasebeta

C2×#13117687 #16022135

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

Aliases

direct productC2×#13117687

Splittings

SylowC13 ⋊ C2×#2342

Subgroups

subgroupG/H
centerC24C23×D13
commutatorC22×C13C24×C4
FrattiniC23C24×D13
FittingC2×C13×#379C2
socleC24×C13C24
prime radicalC26×C13C22
cosocleC23×C13C25
hypercenterC2×#379D13
hypocenterC13C2×#2342
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C24 ◁ C2×#379

4990 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 328784);