Finite Group DatabasebetaFinite Group Databasebeta| order | 9488 |
| automorphism | ? |
| homology | Abelianization (H1) = C22 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Fitting | Q8×C593 ⋊ C2 |
| Sylow | C593 ⋊ SD16 |
20 conjugacy classes of subgroups.
Polycyclic presentation:
2^4,593|a^2=d,c^2=d,b^a=bc,c^a=cd,c^b=cd,e^b=e^5921487 conjugacy classes. The character table is too large to display.
| maximal subgroup of | SD16×D593, C2×#23748720, #34039305, … |
| maximal normal subgroup of | SD16×D593, C2×#23748720, #34039305, … |
| maximal quotient of | #34039205, #34039209, #34039216, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9488, 27);