Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | C2×#10589531 |
629 conjugacy classes of subgroups; only the 57 normal subgroups are shown.
This group has 629 conjugacy classes of subgroups — too many to draw. Only its 57 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 144 |
72 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#13164077, C2×#10589531⋊C3, #72245816, … |
| maximal normal subgroup of | C2×#10589531⋊C3, #72245816 |
| maximal quotient of | C2×#13147076 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 154435);