Finite Group DatabasebetaFinite Group Databasebeta| order | 928 |
| isoclinism | isoclinic class of Dic58 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C4×C22⋊D29 |
| Fitting | C22×C4×C29 ⋊ C2 |
| Sylow | C29 ⋊ C4×D4 |
94 conjugacy classes of subgroups.
| transitive degree | μt(G) = 464 |
244 conjugacy classes — view the full character table.
| maximal subgroup of | #14271226, C8×C22⋊D29, #14271231, … |
| maximal normal subgroup of | #14271226, C8×C22⋊D29, #14271231, … |
| maximal quotient of | C4×C22⋊Dic29, C4×#90781, C4×#90779, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(928, 149);