Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
| direct product | C2×#19097700 |
| Sylow | C157 ⋊ C2×C4⋊C8 |
138 conjugacy classes of subgroups.
2536 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34098075, #34099984, C4×#19097700, … |
| maximal normal subgroup of | #34098075, #34099984, C4×#19097700, … |
| maximal quotient of | C2×#23757023, C2×#23757025, #34098882, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 569);