Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C2×#11763290 |
| Fitting | C22×C4⋊C4×C17 ⋊ C2 |
| Sylow | C17 ⋊ C2×#520 |
1640 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
388 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16939760, #16939804, #16939840, … |
| maximal normal subgroup of | #16939760, #16939804, #16939840, … |
| maximal quotient of | C2×#14531138, C2×#14531141, C2×#14531142, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 17705);