Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C4×#10587499 |
| Fitting | C4×Q16×C17 ⋊ C2 |
| Sylow | C17 ⋊ C4×SD32 |
162 conjugacy classes of subgroups; only the 65 normal subgroups are shown.
This group has 162 conjugacy classes of subgroups — too many to draw. Only its 65 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 | #16946048, C8×#10587499, #16946061, … |
| maximal normal subgroup of | #16946048, C8×#10587499, #16946061, … |
| maximal quotient of | C8×#10587499, #16946224, #16946233, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 6362);