| order | 4672 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27 |
| direct product | C22×C22⋊#64408 |
| unambiguous semidirect product | D73⋊(C2×C22⋊C4) |
| unambiguous semidirect product | (C2×#64408)⋊C23 |
| Fitting | C24×C73 ⋊ C4 |
| Sylow | C73 ⋊ C22×C22⋊C4 |
674 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1168 |
328 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(4672, 1610);