Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×#15668450 |
| Fitting | C4×Q8×C181 ⋊ C2 |
| Sylow | C181 ⋊ C4×#41 |
310 conjugacy classes of subgroups.
1840 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37532102, #37532107, #37532154, … |
| maximal normal subgroup of | #37532102, #37532107, #37532154, … |
| maximal quotient of | C4×#19153774, C4×#19153778, C4×Q8×Dic181, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 1019);