Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | C2×#11763536 |
| Sylow | C17 ⋊ C2×#557 |
1048 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2176 |
274 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16925979, #17000661, #17050902, … |
| maximal normal subgroup of | #16925979, #17000661, #17050902, … |
| maximal quotient of | C2×#14531698, C2×#14531701, C2×#14531703, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 18081);