Finite Group DatabasebetaFinite Group Databasebeta| order | 7552 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C25 |
| direct product | C2×#16837164 |
| Sylow | C59 ⋊ C2×#340 |
512 conjugacy classes of subgroups.
1216 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #340×Dic59, C4×#16837164, #28493871, … |
| maximal normal subgroup of | #340×Dic59, C4×#16837164, #28493871, … |
| maximal quotient of | C2×#21421930, #28478154, #28478164, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(7552, 4223);