Finite Group DatabasebetaFinite Group Databasebeta| order | 10048 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#19097717 |
| Sylow | C157 ⋊ C2×Q32 |
82 conjugacy classes of subgroups.
1114 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34101992, C4×#19097717, #34102004, … |
| maximal normal subgroup of | #34101992, C4×#19097717, #34102004, … |
| maximal quotient of | C2×#23757076, C2×#23757077, C2×#23757098, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(10048, 976);