Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C2×#11763889 |
| Sylow | C17 ⋊ C2×#568 |
1460 conjugacy classes of subgroups; only the 754 normal subgroups are shown.
This group has 1460 conjugacy classes of subgroups — too many to draw. Only its 754 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 544 |
148 conjugacy classes — view the full character table.
| maximal subgroup of | #17956754, #17956764, #17956784, … |
| maximal normal subgroup of | #17956754, #17956764, #17956784, … |
| maximal quotient of | C2×#14545350, C2×#14545356, C4×#11763889, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 21504);