Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C24 |
| direct product | M16×Dic34 |
| Sylow | C17 ⋊ Q8×M16 |
388 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
370 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16928658, #16928662, #16928672, … |
| maximal normal subgroup of | #16928658, #16928662, #16928672, … |
| maximal quotient of | M16×C4⋊Dic17, M16×#63225, #17032973, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 13463);