Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#14583279 |
| Sylow | C43 ⋊ C2×#494 |
552 conjugacy classes of subgroups.
1388 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #24991902, #24995836, #24995838, … |
| maximal normal subgroup of | #24991902, #24995836, #24995838, … |
| maximal quotient of | C2×#19134192, C2×#19134205, C2×#19134213, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 14926);