Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C22×C4 |
| direct product | C4×#14558715 |
| Sylow | C149 ⋊ C4×C4⋊C4 |
194 conjugacy classes of subgroups.
2408 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34044552, C8×#14558715, #34044557, … |
| maximal normal subgroup of | #34044552, C8×#14558715, #34044557, … |
| maximal quotient of | C4×#18011818, #34042917, #34042919, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 402);