Finite Group DatabasebetaFinite Group Databasebeta| order | 15296 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | D8×Dic239 |
| Sylow | C239 ⋊ C4×D8 |
134 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7648 |
1694 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44486392, D16×Dic239, SD32×Dic239, … |
| maximal normal subgroup of | #44486392, D16×Dic239, SD32×Dic239, … |
| maximal quotient of | D8×C239⋊C8, #44483378, #44483433, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15296, 632);