Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| isoclinism | isoclinic class of #1141 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C23×#1144 |
| Sylow | C7 ⋊ C23×Q16 |
1464 conjugacy classes of subgroups.
| transitive degree | μt(G) = 896 |
176 conjugacy classes — view the full character table.
| maximal subgroup of | #13260604, #13260605, #13260631, … |
| maximal normal subgroup of | #13260604, #13260605, #13260631, … |
| maximal quotient of | C23×#6384, C23×#6409, C23×#6381, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 19076);