Finite Group DatabasebetaFinite Group Databasebeta| order | 864 |
| isoclinism | isoclinic class of #88851 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22×C33 |
| direct product | C2×#88851 |
| Fitting | C2×C33×C8 ⋊ C2 |
| Sylow | C33 ⋊ C2×SD16 |
952 conjugacy classes of subgroups.
| transitive degree | μt(G) = 432 |
222 conjugacy classes — view the full character table.
| maximal subgroup of | #13159653, #13159655, #13159671, … |
| maximal normal subgroup of | #13159653, #13159655, #13159671, … |
| maximal quotient of | #13163320, #13163321, C4×#88851, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(864, 3910);