Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#11762809 |
| Fitting | C2×C17×#103 ⋊ C2 |
| Sylow | C17 ⋊ C2×#417 |
816 conjugacy classes of subgroups; only the 229 normal subgroups are shown.
This group has 816 conjugacy classes of subgroups — too many to draw. Only its 229 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 1088 |
268 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #17032114, C4×#11762809, #17032123, … |
| maximal normal subgroup of | #17032114, C4×#11762809, #17032123, … |
| maximal quotient of | C2×#14527170, C2×#14527222, #17000784, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 13021);