Finite Group DatabasebetaFinite Group Databasebeta| order | 11488 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | C2×#19153326 |
| Fitting | C2×D4×C359 ⋊ C2 |
| Sylow | C359 ⋊ C2×D8 |
76 conjugacy classes of subgroups.
1804 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37526523, C4×#19153326, #37526552, … |
| maximal normal subgroup of | #37526523, C4×#19153326, #37526552, … |
| maximal quotient of | C2×#26039935, C2×#26039936, C2×#26039948, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11488, 156);