Finite Group DatabasebetaFinite Group Databasebeta| order | 1152 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C4×#63797 |
| Fitting | C32×C4×C8 ⋊ C22 |
| Sylow | C32 ⋊ C2×C4×D8 |
1313 conjugacy classes of subgroups.
| transitive degree | μt(G) = 192 |
144 conjugacy classes — view the full character table.
| maximal subgroup of | #72222642, #72222648, #72222655 |
| maximal normal subgroup of | #72222642, #72222648, #72222655 |
| maximal quotient of | #72222550 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1152, 93843);