Finite Group DatabasebetaFinite Group Databasebeta| order | 13792 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | C2×#20293785 |
| Fitting | C2×D4×C431 ⋊ C2 |
| Sylow | C431 ⋊ C2×D8 |
76 conjugacy classes of subgroups.
| transitive degree | μt(G) = 6896 |
2164 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #42119139, C4×#20293785, #42119168, … |
| maximal normal subgroup of | #42119139, C4×#20293785, #42119168, … |
| maximal quotient of | C2×#28352109, C2×#28352110, C2×#28352122, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13792, 156);