Finite Group DatabasebetaFinite Group Databasebeta| order | 896 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | C2×#90270 |
| Fitting | C2×C4×C7×Q8 ⋊ C2 |
| Sylow | C7 ⋊ C2×#554 |
1200 conjugacy classes of subgroups.
| transitive degree | μt(G) = 448 |
170 conjugacy classes — view the full character table.
| maximal subgroup of | #13245442, #13245445, #13245558, … |
| maximal normal subgroup of | #13245442, #13245445, #13245558, … |
| maximal quotient of | C2×#11731213, C2×C4⋊C4×D28, C2×#11731215, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(896, 17649);