Finite Group DatabasebetaFinite Group Databasebeta| order | 17312 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C23 |
| direct product | C2×#22575821 |
| Fitting | C2×D4×C541 ⋊ C2 |
| Sylow | C541 ⋊ C2×D8 |
76 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8656 |
2714 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #46830255, C4×#22575821, #46830284, … |
| maximal normal subgroup of | #46830255, C4×#22575821, #46830284, … |
| maximal quotient of | C2×#31772548, C2×#31772549, C2×#31772561, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17312, 156);