Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Sylow | C149 ⋊ C8×Q8 |
102 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,149|a^2=e,b^2=d,c^2=de,e^2=f,b^a=bd,g^a=g^44,g^c=g^105,g^e=g^148410 conjugacy classes — view the full character table.
| maximal subgroup of | #34060274, #34060276, #34060278, … |
| maximal normal subgroup of | #34060274, #34060276, #34060278, … |
| maximal quotient of | C4⋊C4×#11924753, #34060483, #34060745, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 1598);