Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C42 |
No aliases for this group.
| Sylow | C149 ⋊ #376 |
178 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,149|a^2=e,b^2=f,c^2=d,b^a=bd,g^b=g^1482408 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34042519, #34042583, #34042585, … |
| maximal normal subgroup of | #34042519, #34042583, #34042585, … |
| maximal quotient of | C4×#18011818, #34042916, #34042918, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 395);