Finite Group DatabasebetaFinite Group Databasebeta| order | 13792 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×C4⋊Dic431 |
| Sylow | C431 ⋊ C2×C4⋊C4 |
92 conjugacy classes of subgroups.
| transitive degree | μt(G) = 13792 |
3460 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #42118821, #42118822, #42118827, … |
| maximal normal subgroup of | #42118821, #42118822, #42118827, … |
| maximal quotient of | C2×C431⋊#95, C4×C4⋊Dic431, #42118919, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13792, 101);