Finite Group DatabasebetaFinite Group Databasebeta| order | 3200 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C27 |
| direct product | C2×D5⋊#4007 |
| Fitting | C2×C52×D4 ⋊ C2×C4 |
| Sylow | C52 ⋊ C22×#102 |
2346 conjugacy classes of subgroups.
| transitive degree | μt(G) = 160 |
116 conjugacy classes — view the full character table.
| maximal subgroup of | C2×D8×D5⋊AGL(1,𝔽5), #72253345, #72269149 |
| maximal normal subgroup of | C2×D8×D5⋊AGL(1,𝔽5), #72253345, #72269149 |
Past the SmallGroups library coverage — no SmallGroups id.