Finite Group DatabasebetaFinite Group Databasebeta| order | 1536 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×#11711331 |
| Fitting | C22×#379 ⋊ D3 |
8124 conjugacy classes of subgroups; only the 92 normal subgroups are shown.
This group has 8124 conjugacy classes of subgroups — too many to draw. Only its 92 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 48 |
88 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#72215370, #72341339, C2×#72220578, … |
| maximal normal subgroup of | C2×#72215370, #72341339, C2×#72220578, … |
| maximal quotient of | #72341508, #72341544, #72342894, … |
Past the SmallGroups library coverage — no SmallGroups id.