Finite Group DatabasebetaFinite Group Databasebeta| order | 576 |
| isoclinism | isoclinic class of Dic18 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
| direct product | C4×#3667 |
| Sylow | C9 ⋊ C4×M16 |
213 conjugacy classes of subgroups.
| transitive degree | μt(G) = 288 |
168 conjugacy classes — view the full character table.
| maximal subgroup of | #11770761, #11770764, #11770851, … |
| maximal normal subgroup of | #11770761, #11770764, #11770851, … |
| maximal quotient of | C8×#3667, #11773592, #11773646, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(576, 484);