Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C4⋊C8×C149 ⋊ C2 |
| Sylow | C149 ⋊ C8×D4 |
134 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,149|a^2=e,c^2=e,e^2=f,b^a=bd,g^b=g^148,g^c=g^1481520 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34043483, #34043485, #34043488, … |
| maximal normal subgroup of | #34043483, #34043485, #34043488, … |
| maximal quotient of | #34043485, #34043490, #34043497, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 614);