Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C149 ⋊ #385 |
234 conjugacy classes of subgroups; only the 83 normal subgroups are shown.
This group has 234 conjugacy classes of subgroups — too many to draw. Only its 83 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Polycyclic presentation:
2^6,149|a^2=f,b^2=f,b^a=bd,c^a=ce,g^b=g^1481508 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34042638, #34042640, #34044972, … |
| maximal normal subgroup of | #34042638, #34042640, #34044972, … |
| maximal quotient of | #34042913, #34042922, #34042934, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 421);