Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | C2×#11763439 |
| Fitting | C2×C17×#125 ⋊ C2 |
| Sylow | C17 ⋊ C2×#544 |
1080 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
268 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16926854, #17038862, #17038866, … |
| maximal normal subgroup of | #16926854, #17038862, #17038866, … |
| maximal quotient of | C2×#14531399, C2×#14531406, C2×#14531409, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 17910);