Finite Group DatabasebetaFinite Group Databasebeta| order | 15328 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C479 ⋊ #100 |
46 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3832 |
Polycyclic presentation:
2^5,479|a^2=d,d^2=e,b^a=bc,c^a=ce,f^a=f^478,d^b=de2401 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44500181, #44500182, #44500184, … |
| maximal normal subgroup of | #44500181, #44500182, #44500184, … |
| maximal quotient of | #44500119, #44500135, #44500139, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15328, 63);