Finite Group DatabasebetaFinite Group Databasebeta| order | 13792 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#20293783 |
| Fitting | C2×C8×C431 ⋊ C2 |
| Sylow | C431 ⋊ C2×M16 |
68 conjugacy classes of subgroups.
| transitive degree | μt(G) = 6896 |
3460 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #42118840, C4×#20293783, #42119011, … |
| maximal normal subgroup of | #42118840, C4×#20293783, #42119011, … |
| maximal quotient of | C2×#28352099, C4×#20293783, C2×(C2×D431)⋊C8, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13792, 150);