Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24 |
| direct product | C2×#11762937 |
| Sylow | C17 ⋊ C2×#446 |
400 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2176 |
376 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16952861, #17032935, #17032936, … |
| maximal normal subgroup of | #16952861, #17032935, #17032936, … |
| maximal quotient of | C2×#14528656, C2×#14528660, C2×#14528652, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 13435);