Finite Group DatabasebetaFinite Group Databasebeta| order | 15328 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Sylow | C479 ⋊ #117 |
76 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7664 |
Polycyclic presentation:
2^5,479|a^2=e,c^2=d,b^a=bd,f^a=f^4783844 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44500151, #44500152, #44500155, … |
| maximal normal subgroup of | #44500151, #44500152, #44500155, … |
| maximal quotient of | #44500241, C4×C22⋊Dic479, C4×C4⋊Dic479, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15328, 105);