Finite Group DatabasebetaFinite Group Databasebeta| order | 29056 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C227 ⋊ #2374 |
552 conjugacy classes of subgroups; only the 221 normal subgroups are shown.
This group has 552 conjugacy classes of subgroups — too many to draw. Only its 221 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 14528 |
Polycyclic presentation:
2^7,227|a^2=g,b^2=g,c^2=ef,d^2=ef,b^a=be,c^a=cf,h^a=h^226,d^b=de,h^b=h^2263214 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(29056, 7646);