Finite Group DatabasebetaFinite Group Databasebeta| order | 8768 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#17984023 |
| Sylow | C137 ⋊ C2×#108 |
106 conjugacy classes of subgroups.
1388 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #31780667, #31780669, #31780672, … |
| maximal normal subgroup of | #31780667, #31780669, #31780672, … |
| maximal quotient of | C2×#22577153, C2×#22577155, #31779535, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(8768, 594);