Finite Group Databasebeta

← Prev (#46800377) Next (#46800379) →

C23×Dic9×C41 #46800378

order33948
automorphism?
homologyAbelianization (H1) = C4×C23×C41 · Schur multiplier (H2) = C1

Aliases

direct productC23×Dic9×C41
unambiguous semidirect productC9⋊(C4×C23×C41)

Splittings

derived, SylowC9 ⋊ C4×C23×C41
HallC9×C23×C41 ⋊ C4
HallC9×C41 ⋊ C4×C23
HallC9×C23 ⋊ C4×C41

Subgroups

subgroupG/H
center, hypercenterC2×C23×C41D9
commutator, hypocenterC9C4×C23×C41
FrattiniC2×C3D3×C23×C41
FittingC2×C9×C23×C41C2
socle, prime radicalC2×C3×C23×C41D3
cosocleC2×C9C2×C23×C41
LCSG ▷ C9
UCSC1 ◁ C2×C23×C41

36 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 33948

Conjugacy classes & character table

11316 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(33948, 5);