Finite Group DatabasebetaFinite Group Databasebeta| order | 15296 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C239 ⋊ #408 |
158 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7648 |
Polycyclic presentation:
2^6,239|a^2=e,e^2=f,b^a=bd,g^a=g^238,c^b=cf2408 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44482668, #44482670, #44482676, … |
| maximal normal subgroup of | #44482668, #44482670, #44482676, … |
| maximal quotient of | #44482896, #44482900, #44482904, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15296, 516);