Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
| direct product | C2×#18011831 |
| Fitting | C2×C4⋊C4×C149 ⋊ C2 |
| Sylow | C149 ⋊ C2×#102 |
202 conjugacy classes of subgroups.
1508 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34044505, C4×#18011831, #34044515, … |
| maximal normal subgroup of | #34044505, C4×#18011831, #34044515, … |
| maximal quotient of | C2×#23749352, #34043089, #34043115, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 535);