Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#11762771 |
| Fitting | C2×C17×C22⋊C8 ⋊ C2 |
| Sylow | C17 ⋊ C2×#407 |
1008 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
376 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16923922, #16923928, #16923934, … |
| maximal normal subgroup of | #16923922, #16923928, #16923934, … |
| maximal quotient of | C2×#14527109, C2×#14527112, C2×#14527115, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 12944);