Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C2×C4 |
| direct product | C4×#10587469 |
| Fitting | C4×C16×C17 ⋊ C2 |
| Sylow | C17 ⋊ C4×M32 |
196 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 196 conjugacy classes of subgroups — too many to draw. Only its 117 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 1088 |
592 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C8×#10587469, #16943302, #16943304, … |
| maximal normal subgroup of | C8×#10587469, #16943302, #16943304, … |
| maximal quotient of | C8×#10587469, #16943316, #16943345, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 6101);