Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C22×C4 |
| direct product | #103×Dic17 |
| Sylow | C17 ⋊ C4×#103 |
332 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2176 |
280 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#103×D17, C2×#103×Dic17, C4×#11762804, … |
| maximal normal subgroup of | C4×#103×D17, C2×#103×Dic17, C4×#11762804, … |
| maximal quotient of | Q8⋊C8×Dic17, #16924953, #16924958, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 4332);