Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#88148 |
| Fitting | C2×C13×C4⋊C4 ⋊ C2 |
| Sylow | C13 ⋊ C2×#123 |
342 conjugacy classes of subgroups; only the 119 normal subgroups are shown.
This group has 342 conjugacy classes of subgroups — too many to draw. Only its 119 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 416 |
148 conjugacy classes — view the full character table.
| maximal subgroup of | #13113183, #13117357, C4×#88148, … |
| maximal normal subgroup of | #13113183, #13117357, C4×#88148, … |
| maximal quotient of | C2×#11718325, C2×#11718650, C2×#11718326, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 1176);