Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27 |
| direct product | C22×#14558713 |
| Fitting | C23×C4×C149 ⋊ C2 |
| Sylow | C149 ⋊ C22×C22⋊C4 |
674 conjugacy classes of subgroups.
2408 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34042912, #34042927, #34042929, … |
| maximal normal subgroup of | #34042912, #34042927, #34042929, … |
| maximal quotient of | C22×#18011818, C2×C4×#14558713, C2×#23749480, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 996);