Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23 |
| direct product | #97×D181 |
| Fitting | #97×C181 ⋊ C2 |
| Sylow | C181 ⋊ C2×#97 |
146 conjugacy classes of subgroups.
1840 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #329×D181, #330×D181, #37532306, … |
| maximal normal subgroup of | #329×D181, #330×D181, #37532306, … |
| maximal quotient of | #322×D181, #37532007, #37532009, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 496);