Finite Group DatabasebetaFinite Group Databasebeta| order | 17216 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
| direct product | D4×#14524130 |
| Sylow | C269 ⋊ C8×D4 |
134 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8608 |
2720 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #46809677, D8×#14524130, SD16×#14524130, … |
| maximal normal subgroup of | #46809677, D8×#14524130, SD16×#14524130, … |
| maximal quotient of | D8×#14524130, SD16×#14524130, Q16×#14524130, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17216, 615);