Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
| direct product | M16×Dic157 |
| Sylow | C157 ⋊ C4×M16 |
142 conjugacy classes of subgroups.
1600 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34099927, #100×Dic157, #34099931, … |
| maximal normal subgroup of | #34099927, #100×Dic157, #34099931, … |
| maximal quotient of | M16×#11929434, #34098417, #34098423, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 500);