Finite Group DatabasebetaFinite Group Databasebeta| order | 15104 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C27×C4 |
| direct product | Q8×#14273683 |
| Sylow | C59 ⋊ Q8×#117 |
2434 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7552 |
1550 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15104, 328989);