Finite Group DatabasebetaFinite Group Databasebeta| order | 17312 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C4×C22⋊D541 |
| Fitting | C22×C4×C541 ⋊ C2 |
| Sylow | C541 ⋊ C4×D4 |
94 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8656 |
4340 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #46830238, C8×C22⋊D541, #46830243, … |
| maximal normal subgroup of | #46830238, C8×C22⋊D541, #46830243, … |
| maximal quotient of | C4×C22⋊Dic541, C4×#22575813, C4×#22575815, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17312, 107);