Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
| direct product | C2×#18011833 |
| Fitting | C22×C8×C149 ⋊ C2 |
| Sylow | C149 ⋊ C2×#102 |
202 conjugacy classes of subgroups.
2396 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34044505, C4×#18011833, #34044515, … |
| maximal normal subgroup of | #34044505, C4×#18011833, #34044515, … |
| maximal quotient of | C2×#23749354, #34043091, #34043117, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 537);