Finite Group Databasebeta

C9×C31×Dic31 #46829299

order34596
automorphism?
homologyAbelianization (H1) = C4×C9×C31 · Schur multiplier (H2) = C1

Aliases

direct productC9×C31×Dic31

Splittings

derivedC31 ⋊ C4×C9×C31
HallC9×C312 ⋊ C4
SylowC312 ⋊ C4×C9

Subgroups

subgroupG/H
center, hypercenterC2×C9×C31D31
commutator, hypocenterC31C4×C9×C31
FrattiniC2×C3C3×C31×D31
FittingC2×C9×C312C2
socle, prime radicalC2×C3×C312C2×C3
cosocleC2×C3×C31C2×C3×C31
LCSG ▷ C31
UCSC1 ◁ C2×C9×C31

126 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 1116

Conjugacy classes & character table

9486 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34596, 59);