Finite Group DatabasebetaFinite Group Databasebeta| order | 6016 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×C4×D376 |
| Fitting | C2×C4×C8×C47 ⋊ C2 |
| Sylow | C47 ⋊ C2×C4×D8 |
616 conjugacy classes of subgroups; only the 221 normal subgroups are shown.
This group has 616 conjugacy classes of subgroups — too many to draw. Only its 221 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
1528 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #26110852, #26110854, #26110880, … |
| maximal normal subgroup of | #26110852, #26110854, #26110880, … |
| maximal quotient of | C2×C8×D376, C2×#20242219, C2×#20242274, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(6016, 13262);