Finite Group Databasebeta

C2×#13113076 #15784576

order3328
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C210

Aliases

direct productC2×#13113076

Splittings

FittingC22×C13×#95 ⋊ C2
SylowC13 ⋊ C2×#1438

Subgroups

subgroupG/H
centerC25C22×D13
commutatorC23×C13C23×C4
FrattiniC24C23×D13
FittingC22×C13×#95C2
socleC25×C13C23
prime radicalC24×D52C2
cosocleC24×C13C24
hypercenterC22×#95D13
hypocenterC13C2×#1438
LCSG ▷ C23×C13 ▷ C13
UCSC1 ◁ C25 ◁ C22×#95

8190 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1664

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 91225);