Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23×C4 |
| direct product | #102×Dic17 |
| Sylow | C17 ⋊ C4×#102 |
396 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
280 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#102×D17, C2×#102×Dic17, C4×#11762802, … |
| maximal normal subgroup of | C4×#102×D17, C2×#102×Dic17, C4×#11762802, … |
| maximal quotient of | D4⋊C8×Dic17, #16924948, #16924963, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 4327);