Finite Group DatabasebetaFinite Group Databasebeta| order | 8896 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
| direct product | C2×#17984762 |
| Fitting | C2×C4⋊C4×C139 ⋊ C2 |
| Sylow | C139 ⋊ C2×#102 |
202 conjugacy classes of subgroups.
1408 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #31806218, C4×#17984762, #31806228, … |
| maximal normal subgroup of | #31806218, C4×#17984762, #31806228, … |
| maximal quotient of | C2×#22580680, #31804802, #31804828, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8896, 535);