Finite Group Databasebeta

← Prev (#72190365) Next (#72190367) →

C2×C4×C5×C13×C23 #72190366

order11960
nilpotency class1
isoclinismisoclinic class of C1
automorphismAut(G) order 8448
homologyAbelianization (H1) = G · Schur multiplier (H2) = C2

Aliases

abelianC2×C4×C5×C13×C23
multiplicative(ℤ/14975)ˣ, (ℤ/17943)ˣ, (ℤ/23924)ˣ, (ℤ/29950)ˣ, (ℤ/35886)ˣ

Subgroups

subgroupG/H
centerGC1
commutatorC1G
Frattini, cosocleC2C22×C5×C13×C23
socle, prime radicalC22×C5×C13×C23C2
LCSG ▷ C1
UCSC1 ◁ G

64 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

11960 conjugacy classes. The character table is too large to display.

Relationships

maximal subgroup ofC2×C5×C8×C13×C23, C42×C5×C13×C23, C22×C4×C5×C13×C23
maximal normal subgroup ofC2×C5×C8×C13×C23, C42×C5×C13×C23, C22×C4×C5×C13×C23
maximal quotient ofC2×C5×C8×C13×C23, C42×C5×C13×C23, C22×C4×C5×C13×C23

GAP

Past the SmallGroups library coverage — no SmallGroups id.