Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
| direct product | M16×Dic149 |
| Sylow | C149 ⋊ C4×M16 |
142 conjugacy classes of subgroups.
1520 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34044482, #100×Dic149, #34044486, … |
| maximal normal subgroup of | #34044482, #100×Dic149, #34044486, … |
| maximal quotient of | M16×#11924746, #34042972, #34042978, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 500);