Finite Group DatabasebetaFinite Group Databasebeta| order | 1088 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
| direct product | Q8×#3624 |
| Sylow | C17 ⋊ C8×Q8 |
102 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
80 conjugacy classes — view the full character table.
| maximal subgroup of | SD16×#3624, #14544368, Q16×#3624, … |
| maximal normal subgroup of | SD16×#3624, #14544368, Q16×#3624, … |
| maximal quotient of | C4⋊C4×#3624, #14544837, #14544881, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1088, 1597);