Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×#90442 |
| Fitting | C2×C7×#131 ⋊ C2 |
| Sylow | C7 ⋊ C2×#577 |
1460 conjugacy classes of subgroups.
| transitive degree | μt(G) = 224 |
164 conjugacy classes — view the full character table.
| maximal subgroup of | #13369707, #13369713, #13369734, … |
| maximal normal subgroup of | #13369707, #13369713, #13369734, … |
| maximal quotient of | C2×#11741242, C2×#11741251, C2×#11741229, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 18996);