Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | C2×#11763533 |
| Fitting | C2×C17×C4⋊Q8 ⋊ C2 |
| Sylow | C17 ⋊ C2×#556 |
1112 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
274 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16926054, #16926079, #16926426, … |
| maximal normal subgroup of | #16926054, #16926079, #16926426, … |
| maximal quotient of | C2×#14531676, C2×#14531735, C2×#14531743, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 18060);