Finite Group DatabasebetaFinite Group Databasebeta| order | 4304 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C22 |
| unambiguous semidirect product | C22⋊#11761640 |
| unambiguous semidirect product | (C2×#11761640)⋊C2 |
| Fitting | C22×C269 ⋊ C4 |
| Sylow | C269 ⋊ C22⋊C4 |
34 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1076 |
Polycyclic presentation:
2^4,269|a^2=d,b^a=bc,e^a=e^187,e^d=e^268278 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4304, 45);