Finite Group Databasebeta

C2×#13129798 #16787338

order3328
automorphism?
homologyAbelianization (H1) = C22×C8 · Schur multiplier (H2) = C23

Aliases

direct productC2×#13129798

Splittings

SylowC13 ⋊ C2×#1335

Subgroups

subgroupG/H
centerC2×C4#88115
commutatorC8×C13C22×C8
FrattiniC2×C8C22×#261
Fitting, prime radicalC2×C13×#135C4
socleC22×C13D4⋊C8
cosocleC8×Dic13C23
hypercenterC2×#135#261
hypocenterC13C2×#1335
LCSG ▷ C8×C13 ▷ C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C2×C4 ◁ C22×C4 ◁ C22×C8 ◁ C2×#135

414 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 416

Conjugacy classes & character table

172 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1093987);