Finite Group DatabasebetaFinite Group Databasebeta| order | 1360 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C17 · Schur multiplier (H2) = C22 |
| direct product | Q8×D5×C17 |
| Fitting | C5×Q8×C17 ⋊ C2 |
| Hall | C5×C17 ⋊ C2×Q8 |
| Sylow | C5 ⋊ C2×Q8×C17 |
76 conjugacy classes of subgroups.
| transitive degree | μt(G) = 680 |
340 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1360, 202);