Finite Group DatabasebetaFinite Group Databasebeta| order | 15296 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#21439891 |
| Sylow | C239 ⋊ C2×#106 |
130 conjugacy classes of subgroups.
| transitive degree | μt(G) = 15296 |
2408 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44484436, C4×#21439891, #44484444, … |
| maximal normal subgroup of | #44484436, C4×#21439891, #44484444, … |
| maximal quotient of | C2×#29504522, #44483303, #44483318, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15296, 579);