Finite Group DatabasebetaFinite Group Databasebeta| order | 15296 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Sylow | C239 ⋊ #520 |
294 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7648 |
Polycyclic presentation:
2^6,239|a^2=f,d^2=e,b^a=be,d^a=de,g^a=g^238,c^b=ce2414 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44484772, #44484776, #44484779, … |
| maximal normal subgroup of | #44484772, #44484776, #44484779, … |
| maximal quotient of | #44486904, #44486909, #44486913, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15296, 1032);