Finite Group Databasebeta

C2×C9×D961 #46829253

order34596
automorphism?
homologyAbelianization (H1) = C22×C9 · Schur multiplier (H2) = C2

Aliases

direct productC2×C9×D961

Splittings

FittingC2×C9×C961 ⋊ C2
derived, SylowC961 ⋊ C22×C9
HallC9×C961 ⋊ C22

Subgroups

subgroupG/H
center, hypercenterC2×C9D961
commutator, hypocenterC961C22×C9
FrattiniC3×C31C2×C3×D31
FittingC2×C9×C961C2
socleC2×C3×C31C3×D31
prime radicalC2×C3×D961C3
cosocleC3×C961C22×C3
LCSG ▷ C961
UCSC1 ◁ C2×C9

45 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 17298

Conjugacy classes & character table

8676 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(34596, 13);