Finite Group DatabasebetaFinite Group Databasebeta| order | 12128 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#20258594 |
| Sylow | C379 ⋊ C2×SD16 |
68 conjugacy classes of subgroups.
1904 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#20258594, #37565335, #37565341, … |
| maximal normal subgroup of | C4×#20258594, #37565335, #37565341, … |
| maximal quotient of | C2×#27131252, C2×#27131254, C2×#27131262, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12128, 160);