Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
No aliases for this group.
| Sylow | C7 ⋊ #3428 |
1540 conjugacy classes of subgroups.
| transitive degree | μt(G) = 224 |
Polycyclic presentation:
2^7,7|a^2=g,e^2=f,b^a=bf,d^a=df,h^a=h^6,c^b=cf188 conjugacy classes — view the full character table.
| maximal subgroup of | #13259128, #13259131, #13259148, … |
| maximal normal subgroup of | #13259128, #13259131, #13259148, … |
| maximal quotient of | #13512010, #13512025, C4×#90489, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 19094);