Finite Group DatabasebetaFinite Group Databasebeta| order | 2944 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | M16×D92 |
| Fitting | C4×M16×C23 ⋊ C2 |
| Sylow | C23 ⋊ D4×M16 |
544 conjugacy classes of subgroups.
| transitive degree | μt(G) = 736 |
490 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2944, 13248);