Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Sylow | C7 ⋊ #2349 |
704 conjugacy classes of subgroups.
| transitive degree | μt(G) = 448 |
Polycyclic presentation:
2^7,7|a^2=g,c^2=ef,b^a=be,c^a=cf,d^b=de,h^c=h^6170 conjugacy classes — view the full character table.
| maximal subgroup of | #13372090, #13372091, #13372098, … |
| maximal normal subgroup of | #13372090, #13372091, #13372098, … |
| maximal quotient of | #13275225, #13275238, D4×C7⋊#95, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 14545);