Finite Group DatabasebetaFinite Group Databasebeta| order | 8768 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
| direct product | C2×#17984008 |
| Fitting | C2×C4⋊C4×C137 ⋊ C2 |
| Sylow | C137 ⋊ C2×#102 |
202 conjugacy classes of subgroups.
1388 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #31780603, C4×#17984008, #31780613, … |
| maximal normal subgroup of | #31780603, C4×#17984008, #31780613, … |
| maximal quotient of | C2×#22577130, #31779187, #31779213, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8768, 535);