Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C24 |
| direct product | C2×#11762579 |
| Sylow | C17 ⋊ C2×#344 |
388 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
364 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #344×Dic17, C4×#11762579, #16939535, … |
| maximal normal subgroup of | #344×Dic17, C4×#11762579, #16939535, … |
| maximal quotient of | C2×#14526628, #16923954, #16923957, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 4251);