Finite Group DatabasebetaFinite Group Databasebeta| order | 13856 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C4×C22⋊D433 |
| Fitting | C22×C4×C433 ⋊ C2 |
| Sylow | C433 ⋊ C4×D4 |
94 conjugacy classes of subgroups.
| transitive degree | μt(G) = 6928 |
3476 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #42121874, C8×C22⋊D433, #42121879, … |
| maximal normal subgroup of | #42121874, C8×C22⋊D433, #42121879, … |
| maximal quotient of | C4×C22⋊Dic433, C4×#20294074, C4×#20294076, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13856, 107);