Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C23×C4 |
| direct product | C2×#11763207 |
| Sylow | C17 ⋊ C2×#498 |
424 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2176 |
556 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16929586, #16929588, #16933539, … |
| maximal normal subgroup of | #16929586, #16929588, #16933539, … |
| maximal quotient of | C2×#14528941, C2×#14529512, C2×#14529745, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 15009);