Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#18011854 |
| Fitting | C2×Q16×C149 ⋊ C2 |
| Sylow | C149 ⋊ C2×SD32 |
90 conjugacy classes of subgroups.
1058 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34046540, C4×#18011854, #34046553, … |
| maximal normal subgroup of | #34046540, C4×#18011854, #34046553, … |
| maximal quotient of | C2×#23749425, C2×#23749429, C2×#23749452, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 972);