Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| unambiguous semidirect product | D149⋊#131 |
| Sylow | C149 ⋊ C2×#131 |
266 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,149|a^2=e,e^2=f,g^a=g^105,c^b=cf,g^d=g^148,g^e=g^148410 conjugacy classes — view the full character table.
| maximal subgroup of | #34060467, #34060471, #34060730, … |
| maximal normal subgroup of | #34060467, #34060471, #34060730, … |
| maximal quotient of | #34061251, C4×#18011998, C4×#18011999, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 1625);