Finite Group DatabasebetaFinite Group Databasebeta| order | 15328 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C479 ⋊ C22⋊Q8 |
74 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7664 |
Polycyclic presentation:
2^5,479|a^2=d,b^2=d,b^a=bd,c^a=ce,f^a=f^4783838 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44500131, #44500133, #44500546, … |
| maximal normal subgroup of | #44500131, #44500133, #44500546, … |
| maximal quotient of | #44500255, #44500268, #44500279, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15328, 125);