Finite Group DatabasebetaFinite Group Databasebeta| order | 15424 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×Q8×Dic241 |
| Sylow | C241 ⋊ C2×C4×Q8 |
298 conjugacy classes of subgroups.
| transitive degree | μt(G) = 15424 |
2440 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #101×Dic241, #103×Dic241, #44507277, … |
| maximal normal subgroup of | #101×Dic241, #103×Dic241, #44507277, … |
| maximal quotient of | C2×C4⋊C4×Dic241, C4×Q8×Dic241, C2×#29507603, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15424, 1015);