Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | C2×#11763535 |
| Sylow | C17 ⋊ C2×#557 |
1048 conjugacy classes of subgroups; only the 573 normal subgroups are shown.
This group has 1048 conjugacy classes of subgroups — too many to draw. Only its 573 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 2176 |
370 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16925981, #17000660, #17050900, … |
| maximal normal subgroup of | #16925981, #17000660, #17050900, … |
| maximal quotient of | C2×Q8×#63225, C2×#14531702, C2×#14531705, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 18080);