Finite Group DatabasebetaFinite Group Databasebeta| order | 9488 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C22 |
| unambiguous semidirect product | C22⋊#14558631 |
| unambiguous semidirect product | (C2×#14558631)⋊C2 |
| Fitting | C22×C593 ⋊ C4 |
| Sylow | C593 ⋊ C22⋊C4 |
34 conjugacy classes of subgroups.
Polycyclic presentation:
2^4,593|a^2=d,b^a=bc,e^a=e^77,e^d=e^592602 conjugacy classes — view the full character table.
| maximal subgroup of | #34039343, #34039344, C2×C22⋊#14558631, … |
| maximal normal subgroup of | #34039343, #34039344, C2×C22⋊#14558631, … |
| maximal quotient of | (C2×#14558631)⋊C4, C22⋊#18011661, #34039342, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9488, 45);