Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
| direct product | C2×#11762552 |
| Fitting | C2×C17×C4⋊C8 ⋊ C2 |
| Sylow | C17 ⋊ C2×#331 |
360 conjugacy classes of subgroups; only the 117 normal subgroups are shown.
This group has 360 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 |
358 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16925263, C4×#11762552, #16925276, … |
| maximal normal subgroup of | #16925263, C4×#11762552, #16925276, … |
| maximal quotient of | C2×#14526604, #16922298, #16922600, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 3150);