Finite Group DatabasebetaFinite Group Databasebeta| order | 17312 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×Dic1082 |
| Sylow | C541 ⋊ C22×Q8 |
156 conjugacy classes of subgroups.
| transitive degree | μt(G) = 17312 |
4340 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #46830079, #46830080, #46830081, … |
| maximal normal subgroup of | #46830079, #46830080, #46830081, … |
| maximal quotient of | C22×#22575815, C22×C4⋊Dic541, C2×C4×Dic1082, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17312, 186);