Finite Group Databasebeta

C2×#13114015 #15838575

order3328
automorphism?
homologyAbelianization (H1) = C24 · Schur multiplier (H2) = C26

Aliases

direct productC2×#13114015

Splittings

SylowC13 ⋊ C2×#1639

Subgroups

subgroupG/H
centerC23#88207
commutator, cosocleC42×C13C24
FrattiniC42C23×D13
Fitting, prime radicalC2×D42×C13C2
socleC23×C13#120
hypercenterC2×D42D13
hypocenterC13C2×#1639
LCSG ▷ C42×C13 ▷ C22×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×D42

1690 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

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, 145224);