Finite Group DatabasebetaFinite Group Databasebeta| order | 4704 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C3×C4 · Schur multiplier (H2) = C22 |
| direct product | #102×#3861 |
| Fitting, Hall | C72×#102 ⋊ C3 |
| Sylow | C72 ⋊ C3×#102 |
500 conjugacy classes of subgroups; only the 154 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 154 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 784 |
266 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #442×#3861, #102×#64424 |
| maximal normal subgroup of | #442×#3861, #102×#64424 |
Past the SmallGroups library coverage — no SmallGroups id.