Finite Group Databasebeta

C3×C4993 #28418172

order14979
nilpotency class1
isoclinismisoclinic class of C1
automorphismAut(G) order 9984
homologyAbelianization (H1) = G · Schur multiplier (H2) = C1

Aliases

cyclicC14979
abelianC3×C4993

Subgroups

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

4 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

14979 conjugacy classes. The character table is too large to display.

Relationships

derived subgroup ofD14979, Dic14979, C2×D14979
Fitting subgroup ofD3×C4993, C3×D4993, D14979
socle ofD3×C4993, C3×D4993, D14979
maximal subgroup ofD3×C4993, C3×D4993, D14979, …
maximal normal subgroup ofD3×C4993, C3×D4993, D14979, …
maximal quotient ofC2×C3×C4993

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(14979, 2);