Finite Group Databasebeta

C2×#13113970 #15838544

order3328
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C25

Aliases

direct productC2×#13113970

Splittings

SylowC13 ⋊ C2×#1632

Subgroups

subgroupG/H
centerC23#88207
commutator, cosocleC42×C13C24
FrattiniC42C23×D13
FittingC2×C13×#554C2
socleC23×C13#120
prime radicalC22×D4×C13D4
hypercenterC2×#554D13
hypocenterC13C2×#1632
LCSG ▷ C42×C13 ▷ C22×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#554

1054 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1664

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 145193);