Finite Group Databasebeta

D13×#1953 #15866483

order3328
automorphism?
homologyAbelianization (H1) = C23×C4 · Schur multiplier (H2) = C25

Aliases

direct productD13×#1953

Splittings

FittingC13×#1953 ⋊ C2
SylowC13 ⋊ C2×#1953

Subgroups

subgroupG/H
centerC4D13×#121
commutatorC2×C4×C13C23×C4
FrattiniC22×C4C23×D13
FittingC13×#1953C2
socleC2×C13C2×#389
prime radicalC23×D13C2×Q8
cosocleC22×C4×C13C24
hypercenter#1953D13
hypocenterC13C2×#1953
LCSG ▷ C2×C4×C13 ▷ C2×C13 ▷ C13
UCSC1 ◁ C4 ◁ C22×C4 ◁ #1953

858 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 416

Conjugacy classes & character table

256 conjugacy classes — view the full character table.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 173132);