Finite Group Databasebeta

← Prev (#72186289) Next (#72186291) →

C24×C11×C41 #72186290

order7216
nilpotency class1
isoclinismisoclinic class of C1
automorphismAut(G) order 8064000
homologyAbelianization (H1) = G · Schur multiplier (H2) = C26

Aliases

abelianC24×C11×C41
multiplicative(ℤ/15272)ˣ, (ℤ/22908)ˣ

Subgroups

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

268 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

7216 conjugacy classes. The character table is too large to display.

Relationships

maximal subgroup ofC23×C4×C11×C41, C25×C11×C41, C24×C3×C11×C41
maximal normal subgroup ofC23×C4×C11×C41, C25×C11×C41, C24×C3×C11×C41
maximal quotient ofC23×C4×C11×C41, C25×C11×C41, C24×C3×C11×C41
automorphism group ofC8×C23×C83
outer automorphism group ofC8×C23×C83

GAP

Past the SmallGroups library coverage — no SmallGroups id.