Finite Group DatabasebetaFinite Group Databasebeta| order | 2176 |
| isoclinism | isoclinic class of Dic34 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C25 |
| direct product | C8×#63252 |
| Fitting | C2×C4×C8×C17 ⋊ C2 |
| Sylow | C17 ⋊ C8×#41 |
456 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1088 |
592 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C8×#10587476, C8×#10587496, #16925039, … |
| maximal normal subgroup of | C8×#10587476, C8×#10587496, #16925039, … |
| maximal quotient of | C8×#10587612, C8×#10587558, C4×C8×C22⋊D17, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2176, 13467);