Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#16837517 |
| Fitting | C2×#131×C59 ⋊ C2 |
| Sylow | C59 ⋊ C2×#443 |
472 conjugacy classes of subgroups.
1216 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #28505563, #28505564, #28505566, … |
| maximal normal subgroup of | #28505563, #28505564, #28505566, … |
| maximal quotient of | C2×C8×#11745669, C2×C8×#11745670, C2×C8×#11745671, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 13398);