Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23×C4 |
| direct product | C4×C22⋊Dic149 |
| Sylow | C149 ⋊ C4×C22⋊C4 |
258 conjugacy classes of subgroups.
2408 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34042537, #34042538, #34042543, … |
| maximal normal subgroup of | #34042537, #34042538, #34042543, … |
| maximal quotient of | C4×#18011818, #34042914, #34042918, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 397);