Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#11762792 |
| Fitting | C2×C17×#101 ⋊ C2 |
| Sylow | C17 ⋊ C2×#413 |
756 conjugacy classes of subgroups; only the 213 normal subgroups are shown.
This group has 756 conjugacy classes of subgroups — too many to draw. Only its 213 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 544 |
220 conjugacy classes — view the full character table.
| maximal subgroup of | #16949304, #16949310, #16951865, … |
| maximal normal subgroup of | #16949304, #16949310, #16951865, … |
| maximal quotient of | C2×#14527097, C2×#14527101, #17000136, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 12984);