Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
| direct product | C8×Dic298 |
| Sylow | C149 ⋊ C8×Q8 |
102 conjugacy classes of subgroups.
2408 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34042669, #34042671, C8×#14558724, … |
| maximal normal subgroup of | #34042669, #34042671, C8×#14558724, … |
| maximal quotient of | C8×C4⋊Dic149, C8×#14558715, #34045247, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 674);