Finite Group DatabasebetaFinite Group Databasebeta| order | 1536 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C25 |
| direct product | C2×#11715696 |
11541 conjugacy classes of subgroups; only the 77 normal subgroups are shown.
This group has 11541 conjugacy classes of subgroups — too many to draw. Only its 77 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 48 |
76 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#72212876, C2×#72241506, C2×#72252246, … |
| maximal normal subgroup of | C2×#72241506, C2×#72252246, C2×#72234216 |
Past the SmallGroups library coverage — no SmallGroups id.