Finite Group Databasebeta

C2×D13×#520 #16769505

order3328
automorphism?
homologyAbelianization (H1) = C25×C4 · Schur multiplier (H2) = C214

Aliases

direct productC2×D13×#520

Splittings

FittingC2×C13×#520 ⋊ C2
SylowC13 ⋊ C22×#520

Subgroups

subgroupG/H
centerC23C24×D13
commutatorC2×C13C25×C4
FrattiniC22C25×D13
FittingC2×C13×#520C2
socleC23×C13C25
prime radicalC22×#41×D13C2
cosocleC22×C13C26
hypercenterC2×#520D13
hypocenterC13C22×#520
LCSG ▷ C2×C13 ▷ C13
UCSC1 ◁ C23 ◁ C2×#520

12270 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 1076154);