Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
| direct product | C2×#19153745 |
| Sylow | C181 ⋊ C2×C4⋊C8 |
138 conjugacy classes of subgroups.
2920 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37531660, #37533569, C4×#19153745, … |
| maximal normal subgroup of | #37531660, #37533569, C4×#19153745, … |
| maximal quotient of | C2×#26041029, C2×#26041031, #37532467, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 569);