Finite Group DatabasebetaFinite Group Databasebeta| order | 13792 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | C2×D3448 |
| Fitting | C2×C8×C431 ⋊ C2 |
| Sylow | C431 ⋊ C2×D8 |
76 conjugacy classes of subgroups.
| transitive degree | μt(G) = 6896 |
3454 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #42118859, #42118861, #42118871, … |
| maximal normal subgroup of | #42118859, #42118861, #42118871, … |
| maximal quotient of | C2×#28352111, C2×#28352123, C4×D3448, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13792, 157);