Finite Group Databasebeta

← Prev (#72189156) Next (#72189158) →

C26×C3×C5×C11 #72189157

order10560
nilpotency class1
isoclinismisoclinic class of C1
automorphismAut(G) order 1612696780800
homologyAbelianization (H1) = G · Schur multiplier (H2) = C215

Aliases

abelianC26×C3×C5×C11
multiplicative(ℤ/42504)ˣ

Subgroups

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

22600 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

10560 conjugacy classes. The character table is too large to display.

Relationships

maximal subgroup ofC25×C3×C4×C5×C11, C27×C3×C5×C11, C26×C5×C9×C11, …
maximal normal subgroup ofC25×C3×C4×C5×C11, C27×C3×C5×C11, C26×C5×C9×C11, …
maximal quotient ofC25×C3×C4×C5×C11, C27×C3×C5×C11, C26×C5×C9×C11, …

GAP

Past the SmallGroups library coverage — no SmallGroups id.