Finite Group DatabasebetaFinite Group Databasebeta| order | 16736 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#22552624 |
| Fitting | C2×C8×C523 ⋊ C2 |
| Sylow | C523 ⋊ C2×M16 |
68 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8368 |
4196 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #45689986, C4×#22552624, #45690157, … |
| maximal normal subgroup of | #45689986, C4×#22552624, #45690157, … |
| maximal quotient of | C2×#30660283, C4×#22552624, C2×(C2×D523)⋊C8, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16736, 150);