Finite Group DatabasebetaFinite Group Databasebeta| order | 17216 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23 |
| direct product | C2×#22575508 |
| Sylow | C269 ⋊ C2×#97 |
146 conjugacy classes of subgroups.
| transitive degree | μt(G) = 17216 |
1112 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #46825724, #46825761, #46825780 |
| maximal normal subgroup of | #46825724, #46825761, #46825780 |
| maximal quotient of | C2×#14524137⋊C8, #46826092, #46826098 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17216, 1507);