Finite Group DatabasebetaFinite Group Databasebeta| order | 12032 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C28 |
No aliases for this group.
| Sylow | C47 ⋊ #14341 |
3246 conjugacy classes of subgroups; only the 491 normal subgroups are shown.
This group has 3246 conjugacy classes of subgroups — too many to draw. Only its 491 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Polycyclic presentation:
2^8,47|b^2=f,c^2=h,b^a=be,c^a=cf,c^b=cg,d^c=de,i^c=i^461904 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12032, 96754);