Finite Group DatabasebetaFinite Group Databasebeta| order | 17216 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C8 · Schur multiplier (H2) = C22×C4 |
| direct product | C2×C4×#14524137 |
| derived, Sylow | C269 ⋊ C2×C4×C8 |
162 conjugacy classes of subgroups.
| transitive degree | μt(G) = 17216 |
1136 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #46825707, #46825718, #46825721, … |
| maximal normal subgroup of | #46825707, #46825718, #46825721, … |
| maximal quotient of | C2×C8×#14524137, C2×#31771446, M16×#14524137, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17216, 1504);