Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C26 |
| direct product | C2×D4×#3622 |
| Sylow | C17 ⋊ C2×C8×D4 |
616 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
400 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #99×#3622, #16924868, #16924872, … |
| maximal normal subgroup of | #99×#3622, #16924868, #16924872, … |
| maximal quotient of | C2×D8×#3622, C2×SD16×#3622, C2×Q16×#3622, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 13183);