Finite Group DatabasebetaFinite Group Databasebeta| order | 15296 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
| direct product | C2×Dic239⋊C8 |
| Sylow | C239 ⋊ C2×C4⋊C8 |
138 conjugacy classes of subgroups.
| transitive degree | μt(G) = 15296 |
3848 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44482487, #44484396, C4×Dic239⋊C8, … |
| maximal normal subgroup of | #44482487, #44484396, C4×Dic239⋊C8, … |
| maximal quotient of | C2×#29504522, C2×#29504524, #44483294, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15296, 569);