Finite Group Databasebeta

Dic13×#585 #16769534

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

Aliases

direct productDic13×#585

Splittings

SylowC13 ⋊ C4×#585

Subgroups

subgroupG/H
centerC2×C4C24×D13
commutatorC2×C13C25×C4
FrattiniC22C25×D13
Fitting, prime radicalC2×C13×#585C2
socle, cosocleC22×C13C26
hypercenterC2×#585D13
hypocenterC13C4×#585
LCSG ▷ C2×C13 ▷ C13
UCSC1 ◁ C2×C4 ◁ C2×#585

11346 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, 1076183);