Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C2×D4×Dic34 |
| Sylow | C17 ⋊ C2×D4×Q8 |
1568 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
370 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16926005, #16926008, #16926051, … |
| maximal normal subgroup of | #16926005, #16926008, #16926051, … |
| maximal quotient of | C2×C22⋊C4×Dic34, C2×D4×#63225, C2×D4×C4⋊Dic17, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 17984);