Finite Group DatabasebetaFinite Group Databasebeta| order | 15296 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | C4×C8×C239 ⋊ C2 |
| Sylow | C239 ⋊ #495 |
130 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7648 |
Polycyclic presentation:
2^6,239|b^2=d,c^2=ef,d^2=f,b^a=bd,c^a=ce,d^a=df,g^a=g^2383830 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44482590, #44482592, #44486603, … |
| maximal normal subgroup of | #44482590, #44482592, #44486603, … |
| maximal quotient of | #44484140, #44484145, #44484149, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15296, 933);