Finite Group DatabasebetaFinite Group Databasebeta| order | 17312 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#22575819 |
| Fitting | C2×C8×C541 ⋊ C2 |
| Sylow | C541 ⋊ C2×M16 |
68 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8656 |
4340 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #46829956, C4×#22575819, #46830127, … |
| maximal normal subgroup of | #46829956, C4×#22575819, #46830127, … |
| maximal quotient of | C2×#31772538, C4×#22575819, C2×#31772540, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17312, 150);