Finite Group DatabasebetaFinite Group Databasebeta| order | 15328 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#21440151 |
| Fitting | C2×C8×C479 ⋊ C2 |
| Sylow | C479 ⋊ C2×SD16 |
68 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7664 |
3838 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44500482, C4×#21440151, #44500494, … |
| maximal normal subgroup of | #44500482, C4×#21440151, #44500494, … |
| maximal quotient of | C2×#29506304, C2×#29506307, C2×#29506314, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15328, 161);