Finite Group DatabasebetaFinite Group Databasebeta| order | 16096 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | C2×#22548868 |
| Fitting | C2×D4×C503 ⋊ C2 |
| Sylow | C503 ⋊ C2×D8 |
76 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8048 |
2524 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44566361, C4×#22548868, #44566390, … |
| maximal normal subgroup of | #44566361, C4×#22548868, #44566390, … |
| maximal quotient of | C2×#30632784, C2×#30632785, C2×#30632797, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16096, 156);