Finite Group DatabasebetaFinite Group Databasebeta| order | 12032 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24×C4 |
No aliases for this group.
| Sylow | C47 ⋊ #21819 |
1042 conjugacy classes of subgroups; only the 267 normal subgroups are shown.
This group has 1042 conjugacy classes of subgroups — too many to draw. Only its 267 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Polycyclic presentation:
2^8,47|a^2=g,b^2=e,c^2=e,g^2=h,b^a=be,c^a=cf,d^a=de,c^b=ce,i^b=i^46,d^c=dh1088 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12032, 178982);