Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#88118 |
| Fitting | C2×Q8×C13 ⋊ C4 |
| Sylow | C13 ⋊ C2×#104 |
170 conjugacy classes of subgroups; only the 52 normal subgroups are shown.
This group has 170 conjugacy classes of subgroups — too many to draw. Only its 52 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 208 |
58 conjugacy classes — view the full character table.
| maximal subgroup of | C4×#88118, #13130600, #13130613, … |
| maximal normal subgroup of | C4×#88118, #13130600, #13130613, … |
| maximal quotient of | C2×#11718243, C2×Q8⋊#1057, #13130130, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 1120);