Finite Group DatabasebetaFinite Group Databasebeta| order | 14912 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23 |
| direct product | C2×#21418445 |
| Sylow | C233 ⋊ C2×#97 |
146 conjugacy classes of subgroups.
| transitive degree | μt(G) = 14912 |
3752 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44449889, #44449893 |
| maximal normal subgroup of | #44449889, #44449893 |
| maximal quotient of | C2×#28416156, C2×#28416157, #44450099, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14912, 497);