Finite Group DatabasebetaFinite Group Databasebeta| order | 15328 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#21440145 |
| Fitting | C2×C8×C479 ⋊ C2 |
| Sylow | C479 ⋊ C2×M16 |
68 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7664 |
3844 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44500176, C4×#21440145, #44500347, … |
| maximal normal subgroup of | #44500176, C4×#21440145, #44500347, … |
| maximal quotient of | C2×#29506292, C4×#21440145, C2×(C2×D479)⋊C8, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15328, 150);