Finite Group DatabasebetaFinite Group Databasebeta| order | 8384 |
| automorphism | ? |
| homology | Abelianization (H1) = C42 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Sylow | C131 ⋊ #342 |
142 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,131|a^2=d,b^2=e,b^a=bc,c^a=cf,g^a=g^130,d^b=df1322 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #30663958, #30663959, #30663961, … |
| maximal normal subgroup of | #30663958, #30663959, #30663961, … |
| maximal quotient of | #30663804, #30663808, #30663814, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8384, 316);