Finite Group DatabasebetaFinite Group Databasebeta| order | 9536 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C22×Q8×D149 |
| Fitting | C22×Q8×C149 ⋊ C2 |
| Sylow | C149 ⋊ C23×Q8 |
850 conjugacy classes of subgroups.
1520 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34044613, #34044624, #391×D149, … |
| maximal normal subgroup of | #34044613, #34044624, #391×D149, … |
| maximal quotient of | C22×C4⋊C4×D149, C2×C4×Q8×D149, C22×#18011876, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9536, 1372);