Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#18011930 |
| Fitting | C2×D8×C149 ⋊ C2 |
| Sylow | C149 ⋊ C2×#135 |
266 conjugacy classes of subgroups.
1064 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34046395, #34046400, #34046437, … |
| maximal normal subgroup of | #34046395, #34046400, #34046437, … |
| maximal quotient of | C2×#23749618, C2×#23749662, C2×D8×Dic149, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 1328);