Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C16 · Schur multiplier (H2) = C23 |
| direct product | C2×#11763912 |
| Sylow | C17 ⋊ C2×C4⋊C16 |
184 conjugacy classes of subgroups; only the 95 normal subgroups are shown.
This group has 184 conjugacy classes of subgroups — too many to draw. Only its 95 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 2176 |
112 conjugacy classes — view the full character table.
| maximal subgroup of | #17981231, #17981260, #17981324, … |
| maximal normal subgroup of | #17981231, #17981260, #17981324, … |
| maximal quotient of | C2×#14545843, C2×#14545849, #17982254, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 21697);