Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
| direct product | C2×#18011840 |
| Sylow | C149 ⋊ C2×C4⋊C8 |
138 conjugacy classes of subgroups.
2408 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34042630, #34044539, C4×#18011840, … |
| maximal normal subgroup of | #34042630, #34044539, C4×#18011840, … |
| maximal quotient of | C2×#23749375, C2×#23749377, #34043437, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 569);