Finite Group DatabasebetaFinite Group Databasebeta| order | 14912 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C4×#16836584 |
| Sylow | C233 ⋊ C4×Q16 |
110 conjugacy classes of subgroups.
| transitive degree | μt(G) = 14912 |
2348 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44450614, C8×#16836584, #44450626, … |
| maximal normal subgroup of | #44450614, C8×#16836584, #44450626, … |
| maximal quotient of | C8×#16836584, #44450658, #44450660, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14912, 642);