Finite Group DatabasebetaFinite Group Databasebeta| order | 12128 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#20258589 |
| Fitting | C2×C8×C379 ⋊ C2 |
| Sylow | C379 ⋊ C2×M16 |
68 conjugacy classes of subgroups.
3044 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37565025, C4×#20258589, #37565196, … |
| maximal normal subgroup of | #37565025, C4×#20258589, #37565196, … |
| maximal quotient of | C2×#27131241, C4×#20258589, C2×(C2×D379)⋊C8, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(12128, 150);