Finite Group Databasebeta

C3×D31×C169 #44537609

order31434
automorphism?
homologyAbelianization (H1) = C2×C3×C169 · Schur multiplier (H2) = C1

Aliases

direct productC3×D31×C169

Splittings

Fitting, HallC3×C31×C169 ⋊ C2
derived, SylowC31 ⋊ C2×C3×C169
HallC31×C169 ⋊ C2×C3
HallC3×C31 ⋊ C2×C169

Subgroups

subgroupG/H
center, hypercenterC3×C169D31
commutator, hypocenterC31C2×C3×C169
FrattiniC13C3×C13×D31
FittingC3×C31×C169C2
socleC3×C13×C31C2×C13
prime radicalC3×C13×D31C13
cosocleC13×C31C2×C3×C13
LCSG ▷ C31
UCSC1 ◁ C3×C169

24 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 15717

Conjugacy classes & character table

8619 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(31434, 6);