Finite Group DatabasebetaFinite Group Databasebeta| order | 16736 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | C2×D4184 |
| Fitting | C2×C8×C523 ⋊ C2 |
| Sylow | C523 ⋊ C2×D8 |
76 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8368 |
4190 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #45690005, #45690007, #45690017, … |
| maximal normal subgroup of | #45690005, #45690007, #45690017, … |
| maximal quotient of | C2×#30660295, C2×#30660307, C4×D4184, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16736, 157);