Finite Group DatabasebetaFinite Group Databasebeta| order | 15296 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C22×Q8×D239 |
| Fitting | C22×Q8×C239 ⋊ C2 |
| Sylow | C239 ⋊ C23×Q8 |
850 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7648 |
2420 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44484470, #44484481, #391×D239, … |
| maximal normal subgroup of | #44484470, #44484481, #391×D239, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15296, 1372);