Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| isoclinism | isoclinic class of Dic30 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C23×Dic30 |
| Hall | C3×C5 ⋊ C23×Q8 |
| Sylow | C5 ⋊ C23×Dic6 |
| Sylow | C3 ⋊ C23×Dic10 |
1700 conjugacy classes of subgroups.
| transitive degree | μt(G) = 960 |
264 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #14280292, #14280300, #14296918, … |
| maximal normal subgroup of | #14280292, #14280300, #14296918, … |
| maximal quotient of | C23×#6712, C23×C4⋊Dic15, C22×C4×Dic30, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 11328);