Finite Group Databasebeta

C3×C11×C491 #30633743

order16203
nilpotency class1
isoclinismisoclinic class of C1
automorphismAut(G) order 9800
homologyAbelianization (H1) = G · Schur multiplier (H2) = C1

Aliases

cyclicC16203
abelianC3×C11×C491

Subgroups

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

8 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

16203 conjugacy classes. The character table is too large to display.

Relationships

derived subgroup ofD16203, Dic16203, C2×D16203
Fitting subgroup ofC3×C11×D491, C3×D11×C491, C3×D5401, …
socle ofC3×C11×D491, C3×D11×C491, C3×D5401, …
maximal subgroup ofC2×C3×C11×C491, C3×C11×D491, C3×D11×C491, …
maximal normal subgroup ofC2×C3×C11×C491, C3×C11×D491, C3×D11×C491, …
maximal quotient ofC2×C3×C11×C491

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(16203, 1);