Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#11763032 |
| Fitting | C2×C17×C4⋊C8 ⋊ C2 |
| Sylow | C17 ⋊ C2×#464 |
500 conjugacy classes of subgroups; only the 157 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 157 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 1088 |
358 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16930665, #16930667, #17040554, … |
| maximal normal subgroup of | #16930665, #16930667, #17040554, … |
| maximal quotient of | C2×#14528201, C2×#14528215, C2×#14528229, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 13955);