Finite Group DatabasebetaFinite Group Databasebeta| order | 15328 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C479 ⋊ #126 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7664 |
Polycyclic presentation:
2^5,479|b^2=de,c^2=d,b^a=bd,c^a=ce,f^c=f^4782404 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #126×D479, C2×#29506375, #44500922, … |
| maximal normal subgroup of | #126×D479, C2×#29506375, #44500922, … |
| maximal quotient of | #44500262, #44500277, #44500280, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15328, 139);