Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#18011910 |
| Sylow | C149 ⋊ C2×C4⋊Q8 |
290 conjugacy classes of subgroups.
1508 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34045637, #34045641, #34045650, … |
| maximal normal subgroup of | #34045637, #34045641, #34045650, … |
| maximal quotient of | C2×#23749494, C2×#23749521, C2×#23749522, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 1092);