Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C2×#11763285 |
| Fitting | C2×C4×Q8×C17 ⋊ C2 |
| Sylow | C17 ⋊ C2×#519 |
1488 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
388 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #16925744, #17000151, #17000152, … |
| maximal normal subgroup of | #16925744, #17000151, #17000152, … |
| maximal quotient of | C2×#14531138, C2×#14531148, C2×#14531149, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 17699);