Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C23 |
| direct product | C2×#11762585 |
| Sylow | C17 ⋊ C2×#346 |
200 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2176 |
592 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16921153, #16921154, #16921160, … |
| maximal normal subgroup of | #16921153, #16921154, #16921160, … |
| maximal quotient of | C2×#14526701, C2×#14526702, #16943341, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 6100);