Finite Group DatabasebetaFinite Group Databasebeta| order | 5408 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
| direct product | C2×#72229039 |
| Fitting | C23×C132 ⋊ C4 |
| Sylow | C132 ⋊ C2×C22⋊C4 |
1056 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1352 |
356 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C2×D4×#10621728, C2×#72229062, #72259305 |
| maximal normal subgroup of | C2×D4×#10621728, C2×#72229062, #72259305 |
Past the SmallGroups library coverage — no SmallGroups id.