Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×C4×Dic362 |
| Sylow | C181 ⋊ C2×C4×Q8 |
298 conjugacy classes of subgroups.
2920 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37532044, #37532064, C2×#26041009, … |
| maximal normal subgroup of | #37532044, #37532064, C2×#26041009, … |
| maximal quotient of | C2×C4×C4⋊Dic181, C2×C4×#15668428, C42×Dic362, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 1014);