Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | C2×#11763405 |
| Fitting | C2×C17×C22⋊Q8 ⋊ C2 |
| Sylow | C17 ⋊ C2×#539 |
1144 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
268 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #17000356, #17000475, #17193405, … |
| maximal normal subgroup of | #17000356, #17000475, #17193405, … |
| maximal quotient of | C2×#14531383, C2×#14531416, C2×#14531419, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 17860);