Finite Group Databasebeta

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C33×C5×C7×C11 #72189055

order10395
nilpotency class1
isoclinismisoclinic class of C1
automorphismAut(G) order 2695680
homologyAbelianization (H1) = G · Schur multiplier (H2) = C33

Aliases

abelianC33×C5×C7×C11

Subgroups

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

224 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

10395 conjugacy classes. The character table is too large to display.

Relationships

maximal subgroup ofC2×C33×C5×C7×C11, C32×C5×C7×C9×C11, C34×C5×C7×C11
maximal normal subgroup ofC2×C33×C5×C7×C11, C32×C5×C7×C9×C11, C34×C5×C7×C11
maximal quotient ofC2×C33×C5×C7×C11, C32×C5×C7×C9×C11, C34×C5×C7×C11

GAP

Past the SmallGroups library coverage — no SmallGroups id.