Finite Group DatabasebetaFinite Group Databasebeta| order | 14912 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
| direct product | C2×C4⋊#14272338 |
| Sylow | C233 ⋊ C2×C4⋊C8 |
138 conjugacy classes of subgroups.
| transitive degree | μt(G) = 14912 |
3752 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44449644, #44449645, #44449650, … |
| maximal normal subgroup of | #44449644, #44449645, #44449650, … |
| maximal quotient of | C2×#28416186, C2×#28416188, #44450558, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14912, 570);