| order | 3328 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C42 · Schur multiplier (H2) = C28×C4 |
| direct product | C2×C4×Q8×#261 |
| unambiguous semidirect product | D13⋊(C42×Q8) |
| Fitting | C2×C4×Q8×C13 ⋊ C4 |
| Sylow | C13 ⋊ C2×C42×Q8 |
3966 conjugacy classes of subgroups.
| transitive degree | μt(G) = 832 |
280 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3328, 1114099);