Finite Group DatabasebetaFinite Group Databasebeta| order | 3120 |
| nilpotency class | 1 |
| isoclinism | isoclinic class of C1 |
| automorphism | Aut(G) order 1935360 |
| homology | Abelianization (H1) = G · Schur multiplier (H2) = C26 |
| abelian | C24×C3×C5×C13 |
| multiplicative | (ℤ/6952)ˣ, (ℤ/7336)ˣ, (ℤ/9432)ˣ, (ℤ/10428)ˣ, (ℤ/11004)ˣ |
| subgroup | G/H | |
|---|---|---|
| center | G | C1 |
| commutator, Frattini | C1 | G |
| LCS | G ▷ C1 | |
| UCS | C1 ◁ G | |
536 conjugacy classes of subgroups.
3120 conjugacy classes. The character table is too large to display.
Past the SmallGroups library coverage — no SmallGroups id.