Finite Group DatabasebetaFinite Group Databasebeta| order | 8896 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C139 ⋊ #365 |
42 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,139|a^2=d,b^2=c,c^2=e,e^2=f,b^a=bc,c^a=ce,e^a=ef,g^a=g^138,d^b=df1396 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #365×D139, C2×#22580776, #31808175, … |
| maximal normal subgroup of | #365×D139, C2×#22580776, #31808175, … |
| maximal quotient of | #31804470, #31804503, C2×#22580776 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8896, 372);