Finite Group Databasebeta

C3×C5×C953 #28384607

order14295
nilpotency class1
isoclinismisoclinic class of C1
automorphismAut(G) order 7616
homologyAbelianization (H1) = G · Schur multiplier (H2) = C1

Aliases

cyclicC14295
abelianC3×C5×C953

Subgroups

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

8 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

14295 conjugacy classes. The character table is too large to display.

Relationships

derived subgroup ofD14295, Dic14295, C2×D14295
Fitting subgroup ofC3×C5×D953, C3×D5×C953, C3×D4765, …
socle ofC3×C5×D953, C3×D5×C953, C3×D4765, …
maximal subgroup ofC2×C3×C5×C953, C3×C5×D953, C3×D5×C953, …
maximal normal subgroup ofC2×C3×C5×C953, C3×C5×D953, C3×D5×C953, …
maximal quotient ofC2×C3×C5×C953

GAP

Construct this group in GAP via the SmallGroups library:

gap> SmallGroup(14295, 1);