Finite Group Databasebeta

C3×D13×D191 #44446972

order29796
automorphism?
homologyAbelianization (H1) = C22×C3 · Schur multiplier (H2) = C2

Aliases

direct productC3×D13×D191

Splittings

Fitting, socle, HallC3×C13×C191 ⋊ C22
derived, HallC13×C191 ⋊ C22×C3
HallC3×C191 ⋊ C2×D13
SylowC191 ⋊ C2×C3×D13
HallC3×C13 ⋊ C2×D191
SylowC13 ⋊ C2×C3×D191

Subgroups

subgroupG/H
center, hypercenterC3D13×D191
commutator, cosocle, hypocenterC13×C191C22×C3
FrattiniC1G
Fitting, socleC3×C13×C191C22
LCSG ▷ C13×C191
UCSC1 ◁ C3

40 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 7449

Conjugacy classes & character table

2328 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(29796, 22);