Finite Group Databasebeta

C3×C4933 #28414435

order14799
nilpotency class1
isoclinismisoclinic class of C1
automorphismAut(G) order 9864
homologyAbelianization (H1) = G · Schur multiplier (H2) = C1

Aliases

cyclicC14799
abelianC3×C4933

Subgroups

subgroupG/H
centerGC1
commutator, FrattiniC1G
LCSG ▷ C1
UCSC1 ◁ G

4 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

14799 conjugacy classes. The character table is too large to display.

Relationships

derived subgroup ofD14799, Dic14799, C2×D14799
Fitting subgroup ofD3×C4933, C3×D4933, D14799
socle ofD3×C4933, C3×D4933, D14799
maximal subgroup ofD3×C4933, C3×D4933, D14799, …
maximal normal subgroup ofD3×C4933, C3×D4933, D14799, …
maximal quotient ofC2×C3×C4933

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(14799, 2);