Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | Dic3×#911 |
| Sylow | C32 ⋊ C4×AGL(1,ℤ/8) |
1162 conjugacy classes of subgroups.
| transitive degree | μt(G) = 192 |
108 conjugacy classes — view the full character table.
| maximal subgroup of | #72222704, #72227388, #72227393 |
| maximal normal subgroup of | #72222704, #72227388, #72227393 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 94298);