Finite Group DatabasebetaFinite Group Databasebeta| order | 4496 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C22 |
| unambiguous semidirect product | C22⋊#11765499 |
| unambiguous semidirect product | (C2×#11765499)⋊C2 |
| Fitting | C22×C281 ⋊ C4 |
| Sylow | C281 ⋊ C22⋊C4 |
34 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1124 |
Polycyclic presentation:
2^4,281|a^2=d,b^a=bc,e^a=e^228,e^d=e^280290 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4496, 45);