Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#11762613 |
| Sylow | C17 ⋊ C2×#358 |
232 conjugacy classes of subgroups; only the 109 normal subgroups are shown.
This group has 232 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) = 2176 |
268 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#11762613, #358×Dic17, #16949543, … |
| maximal normal subgroup of | C4×#11762613, #358×Dic17, #16949543, … |
| maximal quotient of | C2×#14526748, #16944303, #16944355, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 6212);