Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C26 · Schur multiplier (H2) = C214 |
| direct product | C23×Q8×D17 |
| Fitting | C23×Q8×C17 ⋊ C2 |
| Sylow | C17 ⋊ C24×Q8 |
6264 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
400 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D17×#1446, #16956708, #16956711, … |
| maximal normal subgroup of | D17×#1446, #16956708, #16956711, … |
| maximal quotient of | C23×C4⋊C4×D17, C22×C4×Q8×D17, C23×#10587573, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 19304);