Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
| direct product | Q8×#13089678 |
| Sylow | C181 ⋊ C8×Q8 |
102 conjugacy classes of subgroups.
1840 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37532518, SD16×#13089678, #37532525, … |
| maximal normal subgroup of | #37532518, SD16×#13089678, #37532525, … |
| maximal quotient of | C4⋊C4×#13089678, #37534280, #37534440, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 675);