Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | Q8×#63252 |
| Fitting | C2×C4×Q8×C17 ⋊ C2 |
| Sylow | C17 ⋊ Q8×#41 |
1068 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
370 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16926365, #16926369, #17001198, … |
| maximal normal subgroup of | #16926365, #16926369, #17001198, … |
| maximal quotient of | C4⋊C4×#63252, Q8×#10587558, Q8×#10587612, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 18091);