Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C26 |
| direct product | C2×#11763836 |
| Sylow | C17 ⋊ C2×C8×D4 |
616 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
160 conjugacy classes — view the full character table.
| maximal subgroup of | #17951803, #17951806, #17951811, … |
| maximal normal subgroup of | #17951803, #17951806, #17951811, … |
| maximal quotient of | C2×#14544364, C2×#14544367, C2×#14544368, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 21212);