Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C23×C4 |
No aliases for this group.
| Sylow | C7 ⋊ #2924 |
402 conjugacy classes of subgroups.
| transitive degree | μt(G) = 224 |
Polycyclic presentation:
2^7,7|a^2=f,c^2=e,f^2=g,b^a=be,h^a=h^6,d^c=dg170 conjugacy classes — view the full character table.
| maximal subgroup of | #13250108, #13250112, #13250122, … |
| maximal normal subgroup of | #13250108, #13250112, #13250122, … |
| maximal quotient of | #13351294, #13351357, #13351708, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 14421);