Finite Group DatabasebetaFinite Group Databasebeta| order | 13792 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | SD16×D431 |
| Fitting | SD16×C431 ⋊ C2 |
| Sylow | C431 ⋊ C2×SD16 |
68 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3448 |
1519 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×SD16×D431, #135×D431, AGL(1,ℤ/8)×D431, … |
| maximal normal subgroup of | C2×SD16×D431, #135×D431, AGL(1,ℤ/8)×D431, … |
| maximal quotient of | #102×D431, #103×D431, #106×D431, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13792, 158);