Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Sylow | C149 ⋊ #405 |
130 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,149|a^2=d,b^2=e,d^2=f,g^a=g^148,c^b=cf,g^b=g^1481520 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34044445, #34044447, #34044490, … |
| maximal normal subgroup of | #34044445, #34044447, #34044490, … |
| maximal quotient of | M16×#11924746, #34042975, #34042978, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 507);