Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27 |
| direct product | C2×#11762680 |
| Fitting | C22×C4⋊C4×C17 ⋊ C2 |
| Sylow | C17 ⋊ C2×#385 |
1232 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
376 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16929702, #16929722, C4×#11762680, … |
| maximal normal subgroup of | #16929702, #16929722, C4×#11762680, … |
| maximal quotient of | C2×#14527005, C2×#14527015, C2×#14527016, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 6919);