Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#11763031 |
| Fitting | C2×C4×Q8×C17 ⋊ C2 |
| Sylow | C17 ⋊ C2×#464 |
500 conjugacy classes of subgroups; only the 165 normal subgroups are shown.
This group has 500 conjugacy classes of subgroups — too many to draw. Only its 165 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 1088 |
358 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16930664, #16930666, #17040552, … |
| maximal normal subgroup of | #16930664, #16930666, #17040552, … |
| maximal quotient of | C2×#14528200, C2×#14528214, C2×#14528228, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 13954);