Finite Group Databasebeta

D13×#3428 #16769511

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

Aliases

direct productD13×#3428

Splittings

FittingC13×#3428 ⋊ C2
SylowC13 ⋊ C2×#3428

Subgroups

subgroupG/H
centerC2×C4C24×D13
commutatorC2×C13C25×C4
FrattiniC22C25×D13
FittingC13×#3428C2
socle, cosocleC22×C13C26
prime radicalC22×#41×D13C2
hypercenter#3428D13
hypocenterC13C2×#3428
LCSG ▷ C2×C13 ▷ C13
UCSC1 ◁ C2×C4 ◁ #3428

11534 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 416

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, 1076160);