Finite Group DatabasebetaFinite Group Databasebeta| order | 1088 |
| isoclinism | isoclinic class of Dic34 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×C4×Dic34 |
| Sylow | C17 ⋊ C2×C4×Q8 |
298 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
296 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #14527107, #14527127, C2×#11762539, … |
| maximal normal subgroup of | #14527107, #14527127, C2×#11762539, … |
| maximal quotient of | C2×C4×C4⋊Dic17, C2×C4×#63225, C42×Dic34, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1088, 1014);