Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C25 |
| direct product | #95×D181 |
| Fitting | #95×C181 ⋊ C2 |
| Sylow | C181 ⋊ C2×#95 |
330 conjugacy classes of subgroups.
1840 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #327×D181, #328×D181, #37532222, … |
| maximal normal subgroup of | #327×D181, #328×D181, #37532222, … |
| maximal quotient of | #95×Dic181, #37531942, #37531949, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 392);