Finite Group Databasebeta

C53×C263 #28358265

order13939
nilpotency class1
isoclinismisoclinic class of C1
automorphismAut(G) = C2×C4×C13×C131 (order 13624) · Inn(G) = C1 · Out(G) = C2×C4×C13×C131
homologyAbelianization (H1) = G · Schur multiplier (H2) = C1

Aliases

cyclicC13939
abelianC53×C263

Subgroups

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

4 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

13939 conjugacy classes. The character table is too large to display.

Relationships

derived subgroup ofD13939, Dic13939, C2×D13939
Fitting subgroup ofD53×C263, C53×D263, D13939
socle ofD53×C263, C53×D263, D13939
maximal subgroup ofD53×C263, C53×D263, D13939, …
maximal normal subgroup ofD53×C263, C53×D263, D13939, …
maximal quotient ofC2×C53×C263

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(13939, 1);