Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
| direct product | C2×#11763910 |
| Sylow | C17 ⋊ C2×#350 |
224 conjugacy classes of subgroups; only the 71 normal subgroups are shown.
This group has 224 conjugacy classes of subgroups — too many to draw. Only its 71 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 1088 |
76 conjugacy classes — view the full character table.
| maximal subgroup of | C4×#11763910, #17982439, #17982455, … |
| maximal normal subgroup of | C4×#11763910, #17982439, #17982455, … |
| maximal quotient of | C2×#14545808, #17981877, C2×#14545819, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 21691);