Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C2×C13×C4⋊C4 ⋊ C2 |
| Sylow | C13 ⋊ #554 |
228 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 228 conjugacy classes of subgroups — too many to draw. Only its 107 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 416 |
Polycyclic presentation:
2^6,13|b^2=f,c^2=e,d^a=def,g^a=g^12,c^b=cf145 conjugacy classes — view the full character table.
| maximal subgroup of | #13126656, #13126658, #13126708, … |
| maximal normal subgroup of | #13126656, #13126658, #13126708, … |
| maximal quotient of | #13117709, #13117713, C4⋊C4×C22⋊D13, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 1182);