Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
| direct product | Q8×#11929434 |
| Sylow | C157 ⋊ C8×Q8 |
102 conjugacy classes of subgroups.
1600 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34098933, SD16×#11929434, #34098940, … |
| maximal normal subgroup of | #34098933, SD16×#11929434, #34098940, … |
| maximal quotient of | C4⋊C4×#11929434, #34100695, #34100855, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 675);