Finite Group DatabasebetaFinite Group Databasebeta| order | 17344 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C24 |
| direct product | C2×#22576081 |
| Sylow | C271 ⋊ C2×#102 |
202 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8672 |
2728 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#22576081, #102×Dic271, #46836189, … |
| maximal normal subgroup of | C4×#22576081, #102×Dic271, #46836189, … |
| maximal quotient of | C2×D4⋊(C271⋊C8), #46834763, #46834789, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17344, 536);