Finite Group DatabasebetaFinite Group Databasebeta| order | 17216 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
| direct product | C8×D1076 |
| Fitting | C4×C8×C269 ⋊ C2 |
| Sylow | C269 ⋊ C8×D4 |
134 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8608 |
4328 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #46808839, #46808841, C8×#16864387, … |
| maximal normal subgroup of | #46808839, #46808841, C8×#16864387, … |
| maximal quotient of | C8×D2152, C8×#16864391, C8×Dic1076, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17216, 616);