Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#16838205 |
| Fitting | C2×H(5,𝔽2)×C59 ⋊ C2 |
| Sylow | C59 ⋊ C2×#576 |
1512 conjugacy classes of subgroups.
1030 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #28604588, #28604591, #28604615, … |
| maximal normal subgroup of | #28604588, #28604591, #28604615, … |
| maximal quotient of | C2×#21432619, C2×#21432622, C2×#21432694, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 19261);