Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C23 |
| direct product | C2×#11763904 |
| Sylow | C17 ⋊ C2×#346 |
200 conjugacy classes of subgroups; only the 103 normal subgroups are shown.
This group has 200 conjugacy classes of subgroups — too many to draw. Only its 103 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 544 |
112 conjugacy classes — view the full character table.
| maximal subgroup of | #17981197, #17981205, #17981267, … |
| maximal normal subgroup of | #17981197, #17981205, #17981267, … |
| maximal quotient of | C2×#14545800, #17981817, C2×#14545801, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 21667);