Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Fitting | C2×C13×SD16 ⋊ C2 |
| Sylow | C13 ⋊ #492 |
142 conjugacy classes of subgroups; only the 47 normal subgroups are shown.
This group has 142 conjugacy classes of subgroups — too many to draw. Only its 47 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=e,e^2=f,b^a=be,c^a=cd,e^a=ef,g^a=g^12,c^b=cef,e^c=ef106 conjugacy classes — view the full character table.
| maximal subgroup of | D13×#492, C2×#11718836, #13125260, … |
| maximal normal subgroup of | D13×#492, C2×#11718836, #13125260, … |
| maximal quotient of | #13114422, #13114424, #13114426, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 802);