Finite Group Databasebeta

D13×#2875 #16726325

order3328
automorphism?
homologyAbelianization (H1) = C23×C42 · Schur multiplier (H2) = C28×C4

Aliases

direct productD13×#2875

Splittings

FittingC13×#2875 ⋊ C2
SylowC13 ⋊ C2×#2875

Subgroups

subgroupG/H
center, FrattiniC2×C4C24×D13
commutatorC2×C13C23×C42
FittingC13×#2875C2
socleC22×C13C24×C4
prime radicalC2×#41×D13C22
cosocleC2×C4×C13C25
hypercenter#2875D13
hypocenterC13C2×#2875
LCSG ▷ C2×C13 ▷ C13
UCSC1 ◁ C2×C4 ◁ #2875

3278 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, 1032974);