Finite Group DatabasebetaFinite Group Databasebeta| order | 12032 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | C47×#1304 ⋊ C2 |
| Sylow | C47 ⋊ #8101 |
2414 conjugacy classes of subgroups; only the 175 normal subgroups are shown.
This group has 2414 conjugacy classes of subgroups — too many to draw. Only its 175 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=e,b^2=f,b^a=bd,c^a=cg,d^a=dg,f^a=fh,d^b=dh,e^b=eg,i^c=i^46650 conjugacy classes — view the full character table.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12032, 59891);