Finite Group DatabasebetaFinite Group Databasebeta| order | 15296 |
| automorphism | ? |
| homology | Abelianization (H1) = C4×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C239 ⋊ #346 |
54 conjugacy classes of subgroups.
| transitive degree | μt(G) = 15296 |
Polycyclic presentation:
2^6,239|a^2=c,b^2=d,c^2=e,e^2=f,b^a=bf,g^b=g^2383848 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44482683, #346×D239, C2×#29504547, … |
| maximal normal subgroup of | #44482683, #346×D239, C2×#29504547, … |
| maximal quotient of | #44482464, #44482467, #44482625, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15296, 324);