Finite Group Databasebeta

D13×#2169 #16016079

order3328
automorphism?
homologyAbelianization (H1) = C23×C8 · Schur multiplier (H2) = C25

Aliases

direct productD13×#2169

Splittings

FittingC13×#2169 ⋊ C2
SylowC13 ⋊ C2×#2169

Subgroups

subgroupG/H
center, FrattiniC2×C8C23×D13
commutator, socleC22×C13C23×C8
FittingC13×#2169C2
prime radicalC2×D4×D13C8
cosocleC2×C8×C13C24
hypercenter#2169D13
hypocenterC13C2×#2169
LCSG ▷ C22×C13 ▷ C13
UCSC1 ◁ C2×C8 ◁ #2169

742 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 832

Conjugacy classes & character table

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

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(3328, 322728);