Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
| direct product | C22×#14558721 |
| Fitting | C22×D4×C149 ⋊ C2 |
| Sylow | C149 ⋊ C22×D8 |
338 conjugacy classes of subgroups.
1508 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34045036, #34045037, #34045039, … |
| maximal normal subgroup of | #34045036, #34045037, #34045039, … |
| maximal quotient of | C22×#18011831, C22×#18011832, C22×#18011844, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 1318);