Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C23×C4 |
| direct product | C2×#14583297 |
| Sylow | C43 ⋊ C2×#498 |
424 conjugacy classes of subgroups.
1388 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #24991859, #24991861, #24995812, … |
| maximal normal subgroup of | #24991859, #24991861, #24995812, … |
| maximal quotient of | C2×#19134752, C2×#19135323, C2×#19135556, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 15009);