Finite Group Databasebeta

C2×#13131407 #16808018

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

Aliases

direct productC2×#13131407

Splittings

SylowC13 ⋊ C2×#2875

Subgroups

subgroupG/H
centerC23C23×#261
commutatorC2×C13C23×C42
FrattiniC22C24×#261
FittingC2×C4×D4×C13C4
socleC23×C13C23×C4
prime radicalC22×#6129C22
cosocleC2×Dic13C25
hypercenterC2×C4×D4#261
hypocenterC13C2×#2875
LCSG ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×C4×D4

3278 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1664

Conjugacy classes & character table

256 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1114667);