Finite Group DatabasebetaFinite Group Databasebeta| order | 11008 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Sylow | C43 ⋊ #23565 |
1334 conjugacy classes of subgroups; only the 291 normal subgroups are shown.
This group has 1334 conjugacy classes of subgroups — too many to draw. Only its 291 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Polycyclic presentation:
2^8,43|a^2=e,b^2=e,c^2=e,b^a=be,c^a=cf,g^a=gh,c^b=cg,f^b=fh,d^c=dh,i^c=i^42970 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11008, 197705);