Finite Group DatabasebetaFinite Group Databasebeta| order | 1920 |
| isoclinism | isoclinic class of #1201 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C22×C4 |
| direct product | C8×#6669 |
| Hall | C3×C5 ⋊ C8×C4⋊C4 |
| Sylow | C5 ⋊ C8×Dic3⋊C4 |
| Sylow | C3 ⋊ C8×#683 |
592 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1920 |
336 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1920, 21961);