Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C43 · Schur multiplier (H2) = C2×C42 |
| direct product | #97×Dic17 |
| Sylow | C17 ⋊ C4×#97 |
360 conjugacy classes of subgroups; only the 221 normal subgroups are shown.
This group has 360 conjugacy classes of subgroups — too many to draw. Only its 221 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 2176 |
400 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16925237, #329×Dic17, #16925241, … |
| maximal normal subgroup of | #16925237, #329×Dic17, #16925241, … |
| maximal quotient of | #322×Dic17, #97×#3622, #16923676, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 4193);