Finite Group DatabasebetaFinite Group Databasebeta| order | 15328 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | #41×C479 ⋊ C2 |
| Sylow | C479 ⋊ AGL(1,ℤ/8) |
68 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3832 |
Polycyclic presentation:
2^5,479|d^2=e,b^a=bd,c^a=ce,d^a=de,d^b=de,f^b=f^4782401 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44500563, #44500564, #44500568, … |
| maximal normal subgroup of | #44500563, #44500564, #44500568, … |
| maximal quotient of | #44500396, #44500399, #44500438, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15328, 171);