Finite Group DatabasebetaFinite Group Databasebeta| order | 832 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C13×#103 ⋊ C2 |
| Sylow | C13 ⋊ C4×SD16 |
122 conjugacy classes of subgroups; only the 51 normal subgroups are shown.
This group has 122 conjugacy classes of subgroups — too many to draw. Only its 51 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|a^2=e,b^2=e,c^2=f,d^2=f,g^a=g^12,c^b=cd,d^b=df,d^c=df112 conjugacy classes — view the full character table.
| maximal subgroup of | C4×SD16×D13, C2×#11718449, #13123604, … |
| maximal normal subgroup of | C4×SD16×D13, C2×#11718449, #13123604, … |
| maximal quotient of | #13113633, #13113675, #13113676, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(832, 415);