Finite Group DatabasebetaFinite Group Databasebeta| order | 15296 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Fitting | C4×Q8×C239 ⋊ C2 |
| Sylow | C239 ⋊ #519 |
266 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7648 |
Polycyclic presentation:
2^6,239|a^2=f,b^2=e,c^2=e,b^a=be,d^a=de,c^b=ce,g^d=g^2382414 conjugacy classes. The character table is too large to display.
| maximal quotient of | #44486902, #44486912, #44486913, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15296, 1025);