Finite Group DatabasebetaFinite Group Databasebeta| order | 15296 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | #106×D239 |
| Fitting | #106×C239 ⋊ C2 |
| Sylow | C239 ⋊ C2×#106 |
130 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7648 |
1694 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #360×D239, #365×D239 |
| maximal normal subgroup of | #360×D239, #365×D239 |
| maximal quotient of | #334×D239, #44483302, #44483317, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15296, 578);