Finite Group DatabasebetaFinite Group Databasebeta| order | 13792 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C4×Dic862 |
| Sylow | C431 ⋊ C4×Q8 |
70 conjugacy classes of subgroups.
| transitive degree | μt(G) = 13792 |
3460 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #42118789, #42118791, C4×#20293788, … |
| maximal normal subgroup of | #42118789, #42118791, C4×#20293788, … |
| maximal quotient of | C4×C4⋊Dic431, C4×Dic431⋊C4, #42118942, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13792, 112);