Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×D17⋊#108 |
| unambiguous semidirect product | D17⋊(C2×#108) |
| Sylow | C17 ⋊ C22×#108 |
480 conjugacy classes of subgroups.
| transitive degree | μt(G) = 544 |
184 conjugacy classes — view the full character table.
| maximal subgroup of | #17957111, #17957115, #17957124, … |
| maximal normal subgroup of | #17957111, #17957115, #17957124, … |
| maximal quotient of | C2×#14544326, C2×#14544329, C2×#14544331, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 21167);