Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#19097688 |
| Sylow | C157 ⋊ C2×#100 |
186 conjugacy classes of subgroups.
1582 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34098253, #34098254, C4×#19097688, … |
| maximal normal subgroup of | #34098253, #34098254, C4×#19097688, … |
| maximal quotient of | C2×#23756997, #34098457, #34098463, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 526);