Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | C2×#90419 |
| Fitting | C2×C7×C4⋊Q8 ⋊ C2 |
| Sylow | C7 ⋊ C2×#533 |
1168 conjugacy classes of subgroups.
| transitive degree | μt(G) = 448 |
140 conjugacy classes — view the full character table.
| maximal subgroup of | #13245293, #13245295, #13245302, … |
| maximal normal subgroup of | #13245293, #13245295, #13245302, … |
| maximal quotient of | C2×#11731763, C2×#11733407, C2×#11733922, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 18033);