Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C4×Dic344 |
| Sylow | C43 ⋊ C4×Q32 |
150 conjugacy classes of subgroups.
1388 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #24984049, #24984051, #24984055, … |
| maximal normal subgroup of | #24984049, #24984051, #24984055, … |
| maximal quotient of | C8×Dic344, #25008515, #25008589, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 6370);