Finite Group DatabasebetaFinite Group Databasebeta| order | 3968 |
| isoclinism | isoclinic class of #92479 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C23×#92481 |
| Fitting | C23×Q8×C31 ⋊ C2 |
| Sylow | C31 ⋊ C23×SD16 |
1720 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1984 |
656 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(3968, 19228);