Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#19153759 |
| Fitting | C2×Q16×C181 ⋊ C2 |
| Sylow | C181 ⋊ C2×SD32 |
90 conjugacy classes of subgroups.
1282 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37535570, C4×#19153759, #37535583, … |
| maximal normal subgroup of | #37535570, C4×#19153759, #37535583, … |
| maximal quotient of | C2×#26041079, C2×#26041083, C2×#26041106, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 972);