Finite Group DatabasebetaFinite Group Databasebeta| order | 9904 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×Dic1238 |
| unambiguous semidirect product | (C2×C619)⋊Q8 |
| Sylow | C619 ⋊ C2×Q8 |
38 conjugacy classes of subgroups.
2482 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34090271, #34090276, #34090278, … |
| maximal normal subgroup of | #34090271, #34090276, #34090278, … |
| maximal quotient of | C2×Dic619⋊C4, C2×C4⋊Dic619, C4×Dic1238, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9904, 38);