Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C23×Dic298 |
| Sylow | C149 ⋊ C23×Q8 |
850 conjugacy classes of subgroups.
2408 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34042961, #34044614, #34044625, … |
| maximal normal subgroup of | #34042961, #34044614, #34044625, … |
| maximal quotient of | C23×#14558715, C23×C4⋊Dic149, C22×C4×Dic298, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 1373);