Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C22×#10587489 |
| Sylow | C17 ⋊ C22×#107 |
600 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2176 |
568 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16940222, #16940224, #16940226, … |
| maximal normal subgroup of | #16940222, #16940224, #16940226, … |
| maximal quotient of | C22×#11762562, C2×#14527543, C2×#14527559, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 13085);