Finite Group DatabasebetaFinite Group Databasebeta| order | 960 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4×C5 · Schur multiplier (H2) = C2 |
| direct product | C5×#5426 |
| derived | SL(2,𝔽3) ⋊ C2×C4×C5 |
158 conjugacy classes of subgroups; only the 42 normal subgroups are shown.
This group has 158 conjugacy classes of subgroups — too many to draw. Only its 42 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 320 |
130 conjugacy classes — view the full character table.
| maximal subgroup of | C5×#73075, C5×#73076, C5×#73124, … |
| maximal normal subgroup of | C5×#73075, C5×#73076, C5×#73124, … |
| maximal quotient of | C5×C4⋊#859, C5×#73063, C5×#73071, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(960, 6292);