Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#14582725 |
| Sylow | C43 ⋊ C2×#366 |
168 conjugacy classes of subgroups.
1388 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #24984297, #24984298, #24984315, … |
| maximal normal subgroup of | #24984297, #24984298, #24984315, … |
| maximal quotient of | C2×#19132667, #25008239, #25008278, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 6287);