Finite Group DatabasebetaFinite Group Databasebeta| order | 15104 |
| isoclinism | isoclinic class of D59 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42×C8 · Schur multiplier (H2) = C23×C43 |
| direct product | C42×C8×D59 |
| Fitting | C42×C8×C59 ⋊ C2 |
| derived, Sylow | C59 ⋊ C2×C42×C8 |
2046 conjugacy classes of subgroups; only the 1227 normal subgroups are shown.
This group has 2046 conjugacy classes of subgroups — too many to draw. Only its 1227 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 7552 |
3968 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15104, 166886);