Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C22×#10587506 |
| Sylow | C17 ⋊ C22×#103 |
816 conjugacy classes of subgroups; only the 389 normal subgroups are shown.
This group has 816 conjugacy classes of subgroups — too many to draw. Only its 389 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 2176 |
376 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16939893, #16939895, #16940591, … |
| maximal normal subgroup of | #16939893, #16939895, #16940591, … |
| maximal quotient of | C22×Q8⋊#3622, C2×#14527213, C2×#14527187, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 13000);