Finite Group DatabasebetaFinite Group Databasebeta| order | 15328 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C22 |
| unambiguous semidirect product | (C2×D479)⋊C8 |
| Fitting | C2×C8×C479 ⋊ C2 |
| Sylow | C479 ⋊ C22⋊C8 |
50 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7664 |
Polycyclic presentation:
2^5,479|a^2=d,d^2=e,b^a=bc,f^b=f^4783844 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C22⋊C8×D479, C2×(C2×D479)⋊C8, #44500357, … |
| maximal normal subgroup of | C22⋊C8×D479, C2×(C2×D479)⋊C8, #44500357, … |
| maximal quotient of | #44500118, #44500120, #44500122, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15328, 58);