Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23×C4 |
| direct product | C4×#14578931 |
| Fitting | C2×C42×C157 ⋊ C2 |
| Sylow | C157 ⋊ C4×C22⋊C4 |
258 conjugacy classes of subgroups; only the 107 normal subgroups are shown.
This group has 258 conjugacy classes of subgroups — too many to draw. Only its 107 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
2536 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34099906, C8×#14578931, #34099911, … |
| maximal normal subgroup of | #34099906, C8×#14578931, #34099911, … |
| maximal quotient of | C4×#19097678, #34098357, #34098360, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 398);