Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×Dic944 |
| Sylow | C59 ⋊ C2×Q64 |
104 conjugacy classes of subgroups.
1894 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #28476569, #28476571, #28476581, … |
| maximal normal subgroup of | #28476569, #28476571, #28476581, … |
| maximal quotient of | C2×#21422278, C2×#21422296, C4×Dic944, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 6815);