Finite Group Databasebeta

C9×D19×C67 #37523822

order22914
automorphism?
homologyAbelianization (H1) = C2×C9×C67 · Schur multiplier (H2) = C1

Aliases

direct productC9×D19×C67

Splittings

Fitting, HallC9×C19×C67 ⋊ C2
derived, SylowC19 ⋊ C2×C9×C67
HallC19×C67 ⋊ C2×C9
HallC9×C19 ⋊ C2×C67

Subgroups

subgroupG/H
center, hypercenterC9×C67D19
commutator, hypocenterC19C2×C9×C67
FrattiniC3C3×D19×C67
FittingC9×C19×C67C2
socleC3×C19×C67C2×C3
prime radicalC3×D19×C67C3
cosocleC3×C19C2×C3×C67
LCSG ▷ C19
UCSC1 ◁ C9×C67

24 conjugacy classes of subgroups.

Full subgroup data →

Presentation

transitive degreeμt(G) = 11457

Conjugacy classes & character table

6633 conjugacy classes. The character table is too large to display.

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(22914, 7);