Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C16 · Schur multiplier (H2) = C2 |
| unambiguous semidirect product | C4⋊#14558711 |
| Sylow | C149 ⋊ C4⋊C16 |
50 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,149|a^2=d,b^2=c,d^2=e,e^2=f,b^a=bc,g^a=g^1482408 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D4⋊#14558711, #34042647, #34042649, … |
| maximal normal subgroup of | D4⋊#14558711, #34042647, #34042649, … |
| maximal quotient of | #34042755, #34042761, #34042769, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 368);