Finite Group DatabasebetaFinite Group Databasebeta| order | 544 |
| isoclinism | isoclinic class of Dic34 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#63223 |
| Sylow | C17 ⋊ C2×M16 |
68 conjugacy classes of subgroups.
| transitive degree | μt(G) = 272 |
148 conjugacy classes — view the full character table.
| maximal subgroup of | #11762565, #11762567, #11762568, … |
| maximal normal subgroup of | #11762565, #11762567, #11762568, … |
| maximal quotient of | C2×#10587474, C4×#63223, C2×C22⋊#3622, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(544, 143);