Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C22×Q8×C149 ⋊ C2 |
| Sylow | C149 ⋊ #393 |
202 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,149|a^2=d,b^2=d,b^a=bd,c^a=ce,c^b=cf,g^c=g^1481502 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34043641, #34043646, #34043668, … |
| maximal normal subgroup of | #34043641, #34043646, #34043668, … |
| maximal quotient of | #34042933, #34042950, #34042962, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 460);