Finite Group DatabasebetaFinite Group Databasebeta| order | 15328 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C22⋊C4×C479 ⋊ C2 |
| Sylow | C479 ⋊ #99 |
52 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3832 |
Polycyclic presentation:
2^5,479|a^2=d,b^a=bc,c^a=ce,d^b=de,f^b=f^4782401 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #99×D479, C2×#29506296, #44500367, … |
| maximal normal subgroup of | #99×D479, C2×#29506296, #44500367, … |
| maximal quotient of | #44500118, #44500120, #44500128, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15328, 60);