Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×Dic376 |
| Sylow | C47 ⋊ C22×Q32 |
360 conjugacy classes of subgroups.
1516 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #26133355, #26133357, #26133390, … |
| maximal normal subgroup of | #26133355, #26133357, #26133390, … |
| maximal quotient of | C22×#15688928, C22×#15688949, C2×C4×Dic376, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 17623);