Finite Group DatabasebetaFinite Group Databasebeta| order | 15296 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Sylow | C239 ⋊ #518 |
338 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3824 |
Polycyclic presentation:
2^6,239|a^2=f,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 | #44484654, #44484657, #44484757, … |
| maximal normal subgroup of | #44484654, #44484657, #44484757, … |
| maximal quotient of | #44486901, #44486905, #44486909, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15296, 1024);