Finite Group DatabasebetaFinite Group Databasebeta| order | 15328 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C4×Dic958 |
| Sylow | C479 ⋊ C4×Q8 |
70 conjugacy classes of subgroups.
| transitive degree | μt(G) = 15328 |
3844 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44500125, #44500127, C4×#21440150, … |
| maximal normal subgroup of | #44500125, #44500127, C4×#21440150, … |
| maximal quotient of | C4×C4⋊Dic479, C4×Dic479⋊C4, #44500278, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15328, 112);