Finite Group DatabasebetaFinite Group Databasebeta| order | 4496 |
| automorphism | ? |
| homology | Abelianization (H1) = C22 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Fitting | C8×C281 ⋊ C2 |
| Sylow | C281 ⋊ SD16 |
20 conjugacy classes of subgroups.
| minimal degree | μ(G) = 289 |
| transitive degree | μt(G) = 2248 |
Polycyclic presentation:
2^4,281|a^2=d,c^2=d,b^a=bc,c^a=cd,e^a=e^280,c^b=cd,e^b=e^2801127 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4496, 29);