Finite Group DatabasebetaFinite Group Databasebeta| order | 13792 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×C8×C431 ⋊ C2 |
| Sylow | C431 ⋊ #131 |
62 conjugacy classes of subgroups.
| transitive degree | μt(G) = 6896 |
Polycyclic presentation:
2^5,431|a^2=d,d^2=e,c^b=ce,f^c=f^4303460 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #42118842, #42118844, #42119174, … |
| maximal normal subgroup of | #42118842, #42118844, #42119174, … |
| maximal quotient of | #42119013, #42119014, #42119024, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(13792, 152);