Finite Group DatabasebetaFinite Group Databasebeta| order | 13792 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×Dic862 |
| Sylow | C431 ⋊ C22×Q8 |
156 conjugacy classes of subgroups.
| transitive degree | μt(G) = 13792 |
3460 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #42118963, #42118964, #42118965, … |
| maximal normal subgroup of | #42118963, #42118964, #42118965, … |
| maximal quotient of | C22×Dic431⋊C4, C22×C4⋊Dic431, C2×C4×Dic862, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13792, 186);