Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Fitting | C2×C4⋊C4×C149 ⋊ C2 |
| Sylow | C149 ⋊ #380 |
234 conjugacy classes of subgroups; only the 87 normal subgroups are shown.
This group has 234 conjugacy classes of subgroups — too many to draw. Only its 87 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Polycyclic presentation:
2^6,149|a^2=f,b^2=d,b^a=bd,c^a=ce,g^c=g^1481508 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34044620, #34044624, #34044628, … |
| maximal normal subgroup of | #34044620, #34044624, #34044628, … |
| maximal quotient of | #34042912, #34042915, #34042920, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 406);