| order | 3008 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#13093949 |
| Sylow | C47 ⋊ C2×#103 |
162 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3008 |
764 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3008, 541);