Finite Group DatabasebetaFinite Group Databasebeta| order | 5504 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
| direct product | C4×#13063261 |
| Sylow | C43 ⋊ C4×#108 |
228 conjugacy classes of subgroups.
1400 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #24983514, #24983515, #24983517, … |
| maximal normal subgroup of | #24983514, #24983515, #24983517, … |
| maximal quotient of | C4×#14582650, C4×#14582652, #24987786, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(5504, 4412);