Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×#10587604 |
| Fitting | C4×Q16×C17 ⋊ C2 |
| Sylow | C17 ⋊ C4×#137 |
484 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
268 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #17003746, C8×#10587604, #17003768, … |
| maximal normal subgroup of | #17003746, C8×#10587604, #17003768, … |
| maximal quotient of | C8×#10587604, #17003919, #17003939, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 13330);