Finite Group DatabasebetaFinite Group Databasebeta| order | 11488 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C4×D1436 |
| Fitting | C42×C359 ⋊ C2 |
| Sylow | C359 ⋊ C4×D4 |
94 conjugacy classes of subgroups.
2884 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37526170, #37526172, #37526508, … |
| maximal normal subgroup of | #37526170, #37526172, #37526508, … |
| maximal quotient of | C4×(C2×D359)⋊C4, C4×C4⋊Dic359, #37526317, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11488, 110);