Finite Group DatabasebetaFinite Group Databasebeta| order | 1088 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#10587612 |
| Sylow | C17 ⋊ C2×#117 |
330 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
296 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #14528480, #14528482, C2×#11762565, … |
| maximal normal subgroup of | #14528480, #14528482, C2×#11762565, … |
| maximal quotient of | C2×#11762655, C2×C4×C22⋊Dic17, C2×C4×C4⋊Dic17, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1088, 1005);