Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#19097730 |
| Sylow | C157 ⋊ C2×#117 |
330 conjugacy classes of subgroups.
2536 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34099832, #34099834, C2×#23757029, … |
| maximal normal subgroup of | #34099832, #34099834, C2×#23757029, … |
| maximal quotient of | C2×#23757119, C2×C4×C22⋊Dic157, C2×C4×C4⋊Dic157, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 1005);