Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×#14558737 |
| Fitting | C4×Q8×C149 ⋊ C2 |
| Sylow | C149 ⋊ C4×#41 |
310 conjugacy classes of subgroups.
1520 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34043072, #34043077, #34043124, … |
| maximal normal subgroup of | #34043072, #34043077, #34043124, … |
| maximal quotient of | C4×#18011869, C4×#18011873, C4×Q8×Dic149, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 1019);