Finite Group Databasebeta

← Prev (#72183040) Next (#72183042) →

C24×C11×C19 #72183041

order3344
nilpotency class1
isoclinismisoclinic class of C1
automorphismAut(G) order 3628800
homologyAbelianization (H1) = G · Schur multiplier (H2) = C26

Aliases

abelianC24×C11×C19
multiplicative(ℤ/10056)ˣ

Subgroups

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

268 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

3344 conjugacy classes. The character table is too large to display.

Relationships

maximal subgroup ofC23×C4×C11×C19, C25×C11×C19, C24×C3×C11×C19, …
maximal normal subgroup ofC23×C4×C11×C19, C25×C11×C19, C24×C3×C11×C19, …
maximal quotient ofC23×C4×C11×C19, C25×C11×C19, C24×C3×C11×C19, …
automorphism group ofC3×C8×C419
outer automorphism group ofC3×C8×C419

GAP

Past the SmallGroups library coverage — no SmallGroups id.