Finite Group DatabasebetaFinite Group Databasebeta| order | 13792 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
| direct product | C22⋊C4×D431 |
| Fitting | C22⋊C4×C431 ⋊ C2 |
| Sylow | C431 ⋊ C2×C22⋊C4 |
132 conjugacy classes of subgroups.
| transitive degree | μt(G) = 3448 |
2170 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #99×D431, C2×C22⋊C4×D431, #117×D431, … |
| maximal normal subgroup of | #99×D431, C2×C22⋊C4×D431, #117×D431, … |
| maximal quotient of | #95×D431, #42118906, C22⋊C4×Dic431, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13792, 96);