Finite Group Databasebeta

C2×#13112818 #15772734

order3328
automorphism?
homologyAbelianization (H1) = C22×C8 · Schur multiplier (H2) = C22

Aliases

direct productC2×#13112818

Splittings

SylowC13 ⋊ C2×#1338

Subgroups

subgroupG/H
centerC22×C4C22⋊Dic13
commutatorC2×C4×C13C22×C8
FrattiniC4×C8C22×D13
FittingC2×C13×#446C2
socle, prime radicalC23×C13C22⋊C8
cosocleC4×C8×C13C23
hypercenterC2×#446D13
hypocenterC13C2×#1338
LCSG ▷ C2×C4×C13 ▷ C22×C13 ▷ C13
UCSC1 ◁ C22×C4 ◁ C2×C4×C8 ◁ C2×#446

346 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 3328

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 79383);