Finite Group DatabasebetaFinite Group Databasebeta| order | 16096 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | C2×D4024 |
| Fitting | C2×C8×C503 ⋊ C2 |
| Sylow | C503 ⋊ C2×D8 |
76 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8048 |
4030 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44566081, #44566083, #44566093, … |
| maximal normal subgroup of | #44566081, #44566083, #44566093, … |
| maximal quotient of | C2×#30632786, C2×#30632798, C4×D4024, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16096, 157);