Finite Group DatabasebetaFinite Group Databasebeta| order | 31072 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | C2×D7768 |
| Fitting | C2×C8×C971 ⋊ C2 |
| Sylow | C971 ⋊ C2×D8 |
76 conjugacy classes of subgroups.
| transitive degree | μt(G) = 15536 |
7774 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(31072, 157);