Finite Group Databasebeta

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C23×C34×C13 #72187302

order8424
nilpotency class1
isoclinismisoclinic class of C1
automorphismAut(G) order 48910417920
homologyAbelianization (H1) = G · Schur multiplier (H2) = C23×C36

Aliases

abelianC23×C34×C13

Subgroups

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

6784 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

8424 conjugacy classes. The character table is too large to display.

Relationships

maximal subgroup ofC22×C34×C4×C13, C24×C34×C13, C23×C33×C9×C13, …
maximal normal subgroup ofC22×C34×C4×C13, C24×C34×C13, C23×C33×C9×C13, …
maximal quotient ofC22×C34×C4×C13, C24×C34×C13, C23×C33×C9×C13, …

GAP

Past the SmallGroups library coverage — no SmallGroups id.