Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#11763840 |
| Sylow | C17 ⋊ C2×#435 |
564 conjugacy classes of subgroups; only the 194 normal subgroups are shown.
This group has 564 conjugacy classes of subgroups — too many to draw. Only its 194 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 1088 |
136 conjugacy classes — view the full character table.
| maximal subgroup of | #17951822, #17968745, C4×#11763840, … |
| maximal normal subgroup of | #17951822, #17968745, C4×#11763840, … |
| maximal quotient of | C2×#14544385, C2×#14544393, C2×#14544389, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 21217);