Finite Group DatabasebetaFinite Group Databasebeta| order | 576 |
| isoclinism | isoclinic class of Dic18 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23 |
| direct product | C2×#63375 |
| Sylow | C9 ⋊ C2×#97 |
219 conjugacy classes of subgroups.
| transitive degree | μt(G) = 576 |
168 conjugacy classes — view the full character table.
| maximal subgroup of | #11772273, #11772305, #97×Dic9, … |
| maximal normal subgroup of | #11772273, #11772305, #97×Dic9, … |
| maximal quotient of | C2×#10588132, C2×#10588131, #11773592, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(576, 663);