Finite Group DatabasebetaFinite Group Databasebeta| order | 3136 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26×C7 |
| direct product | C4×D4×C7⋊D7 |
| Fitting | C4×C72×D4 ⋊ C2 |
| Sylow | C72 ⋊ C2×C4×D4 |
2130 conjugacy classes of subgroups.
| transitive degree | μt(G) = 784 |
520 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #442×C7⋊D7, C4×D4×#64424 |
| maximal normal subgroup of | #442×C7⋊D7, C4×D4×#64424 |
| maximal quotient of | #442×C7⋊D7 |
Past the SmallGroups library coverage — no SmallGroups id.