Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×C16×C149 ⋊ C2 |
| Sylow | C149 ⋊ #504 |
84 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,149|a^2=d,d^2=e,e^2=f,c^b=cf,g^c=g^1482408 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34042832, #34042834, #34046526, … |
| maximal normal subgroup of | #34042832, #34042834, #34046526, … |
| maximal quotient of | #34046286, #34046287, #34046303, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 965);