Finite Group DatabasebetaFinite Group Databasebeta| order | 1888 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C4⋊C4×D59 |
| Fitting | C4⋊C4×C59 ⋊ C2 |
| Sylow | C59 ⋊ C2×C4⋊C4 |
92 conjugacy classes of subgroups.
| transitive degree | μt(G) = 944 |
310 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #102×D59, #103×D59, #16837400, … |
| maximal normal subgroup of | #102×D59, #103×D59, #16837400, … |
| maximal quotient of | #95×D59, #16837253, C4⋊C4×Dic59, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1888, 99);