Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×C4⋊C4×D13 |
| Fitting | C2×C13×C4⋊C4 ⋊ C2 |
| Sylow | C13 ⋊ C22×C4⋊C4 |
418 conjugacy classes of subgroups; only the 207 normal subgroups are shown.
This group has 418 conjugacy classes of subgroups — too many to draw. Only its 207 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 416 |
160 conjugacy classes — view the full character table.
| maximal subgroup of | D13×#324, #13113164, D13×#340, … |
| maximal normal subgroup of | D13×#324, #13113164, D13×#340, … |
| maximal quotient of | C2×D13×#95, C4×C4⋊C4×D13, C2×#11718310, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 1172);