| order | 14464 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×#16813654 |
| Fitting | C4×Q16×C113 ⋊ C2 |
| Sylow | C113 ⋊ C4×#137 |
484 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7232 |
1612 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14464, 13330);