Finite Group DatabasebetaFinite Group Databasebeta| order | 3328 |
| isoclinism | isoclinic class of #6104 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C22×C4×#6106 |
| Fitting | C22×C4×Q8×C13 ⋊ C2 |
| Sylow | C13 ⋊ C22×C4×SD16 |
3262 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1664 |
592 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3328, 1033576);