Finite Group DatabasebetaFinite Group Databasebeta| order | 15296 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×#21439959 |
| Sylow | C239 ⋊ C2×C4⋊Q8 |
290 conjugacy classes of subgroups.
| transitive degree | μt(G) = 15296 |
2408 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44485494, #44485498, #44485507, … |
| maximal normal subgroup of | #44485494, #44485498, #44485507, … |
| maximal quotient of | C2×#29504641, C2×#29504668, C2×#29504669, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15296, 1092);