Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
| direct product | C2×#11762630 |
| Sylow | C17 ⋊ C2×#364 |
168 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 168 conjugacy classes of subgroups — too many to draw. Only its 109 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 544 |
568 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16921207, #16921208, #16921209, … |
| maximal normal subgroup of | #16921207, #16921208, #16921209, … |
| maximal quotient of | C2×#14526848, #16945869, C2×#14526854, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 6273);