Finite Group DatabasebetaFinite Group Databasebeta| order | 11072 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
| direct product | Q8×#13063443 |
| Sylow | C173 ⋊ C8×Q8 |
102 conjugacy classes of subgroups.
470 conjugacy classes — view the full character table.
| maximal subgroup of | SD16×#13063443, #36369147, Q16×#13063443, … |
| maximal normal subgroup of | SD16×#13063443, #36369147, Q16×#13063443, … |
| maximal quotient of | C4⋊C4×#13063443, #36369616, #36369660, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11072, 1597);