Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×Dic344 |
| Sylow | C43 ⋊ C22×Q32 |
360 conjugacy classes of subgroups.
1388 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #25013674, #25013676, #25013709, … |
| maximal normal subgroup of | #25013674, #25013676, #25013709, … |
| maximal quotient of | C22×#14582704, C22×#14582725, C2×C4×Dic344, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 17623);