Finite Group DatabasebetaFinite Group Databasebeta| order | 15328 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×C4⋊Dic479 |
| Sylow | C479 ⋊ C2×C4⋊C4 |
92 conjugacy classes of subgroups.
| transitive degree | μt(G) = 15328 |
3844 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44500157, #44500158, #44500163, … |
| maximal normal subgroup of | #44500157, #44500158, #44500163, … |
| maximal quotient of | C2×C479⋊#95, C4×C4⋊Dic479, #44500255, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15328, 101);