Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#11763193 |
| Fitting | C2×C4×C8×C17 ⋊ C2 |
| Sylow | C17 ⋊ C2×#495 |
592 conjugacy classes of subgroups; only the 181 normal subgroups are shown.
This group has 592 conjugacy classes of subgroups — too many to draw. Only its 181 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 1088 |
556 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16933865, #16933867, #16933889, … |
| maximal normal subgroup of | #16933865, #16933867, #16933889, … |
| maximal quotient of | C2×#14528376, C2×#14528381, C2×#14528385, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 14931);