Finite Group DatabasebetaFinite Group Databasebeta| order | 14912 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#21418467 |
| Sylow | C233 ⋊ C2×#106 |
130 conjugacy classes of subgroups.
| transitive degree | μt(G) = 14912 |
3740 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44449909, #44449910, #44449915, … |
| maximal normal subgroup of | #44449909, #44449910, #44449915, … |
| maximal quotient of | C2×#28416186, #44450566, #44450581 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14912, 580);