Finite Group Databasebeta

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C24×C3×C103 #72184333

order4944
nilpotency class1
isoclinismisoclinic class of C1
automorphismAut(G) order 4112640
homologyAbelianization (H1) = G · Schur multiplier (H2) = C26

Aliases

abelianC24×C3×C103
multiplicative(ℤ/14856)ˣ

Subgroups

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

268 conjugacy classes of subgroups.

Full subgroup data →

Conjugacy classes & character table

4944 conjugacy classes. The character table is too large to display.

Relationships

maximal subgroup ofC25×C3×C103, C23×C3×C4×C103, C24×C9×C103, …
maximal normal subgroup ofC25×C3×C103, C23×C3×C4×C103, C24×C9×C103, …
maximal quotient ofC25×C3×C103, C23×C3×C4×C103, C24×C9×C103, …
automorphism group ofC3×C8×C619
outer automorphism group ofC3×C8×C619

GAP

Past the SmallGroups library coverage — no SmallGroups id.