Finite Group DatabasebetaFinite Group Databasebeta| order | 35008 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C4×D4×C547 ⋊ C2 |
| Sylow | C547 ⋊ #529 |
234 conjugacy classes of subgroups; only the 101 normal subgroups are shown.
This group has 234 conjugacy classes of subgroups — too many to draw. Only its 101 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 17504 |
Polycyclic presentation:
2^6,547|b^2=f,d^2=e,b^a=be,c^a=cf,g^b=g^546,g^c=g^5465488 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(35008, 1081);