Finite Group DatabasebetaFinite Group Databasebeta| order | 13792 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
| direct product | C2×(C2×D431)⋊C4 |
| Fitting | C22×C4×C431 ⋊ C2 |
| Sylow | C431 ⋊ C2×C22⋊C4 |
132 conjugacy classes of subgroups.
| transitive degree | μt(G) = 6896 |
3460 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #42118782, #42118906, C4×(C2×D431)⋊C4, … |
| maximal normal subgroup of | #42118782, #42118906, C4×(C2×D431)⋊C4, … |
| maximal quotient of | C2×C431⋊#95, C4×(C2×D431)⋊C4, #42118914, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13792, 97);