Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C25 |
| direct product | C8×#63254 |
| Fitting | C8×D4×C17 ⋊ C2 |
| Sylow | C17 ⋊ C8×#41 |
456 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
400 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16944153, #16944163, #16944193, … |
| maximal normal subgroup of | #16944153, #16944163, #16944193, … |
| maximal quotient of | C8×#10587563, C8×#10587578, C8×#10587567, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 13465);