Finite Group DatabasebetaFinite Group Databasebeta| order | 17216 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C16 · Schur multiplier (H2) = C23 |
| direct product | C2×D269⋊C16 |
| unambiguous semidirect product | D269⋊(C2×C16) |
| derived, Sylow | C269 ⋊ C22×C16 |
98 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8608 |
1136 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #46825922, #46825941, #46825942, … |
| maximal normal subgroup of | #46825922, #46825941, #46825942, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17216, 1603);