Finite Group DatabasebetaFinite Group Databasebeta| order | 15424 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C241 ⋊ #533 |
222 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7712 |
Polycyclic presentation:
2^6,241|a^2=f,c^2=f,d^2=e,b^a=be,c^a=cf,g^c=g^2402428 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44508387, #44508420, #44508424, … |
| maximal normal subgroup of | #44508387, #44508420, #44508424, … |
| maximal quotient of | #44509848, #44509917, #44509927, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15424, 1102);