Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | C2×D1376 |
| Fitting | C2×C32×C43 ⋊ C2 |
| Sylow | C43 ⋊ C2×D32 |
120 conjugacy classes of subgroups.
1382 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #24984474, #24984476, #24984486, … |
| maximal normal subgroup of | #24984474, #24984476, #24984486, … |
| maximal quotient of | C2×#19132774, C2×#19132795, C4×D1376, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 6808);