Finite Group DatabasebetaFinite Group Databasebeta| order | 15248 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C953 ⋊ M16 |
20 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7624 |
Polycyclic presentation:
2^4,953|a^2=c,c^2=d,b^a=bd,e^a=e^9523818 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #44479342, #44479343, #44479344, … |
| maximal normal subgroup of | #44479342, #44479343, #44479344, … |
| maximal quotient of | #44479337, C22⋊#21439323, C4⋊#21439323, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15248, 24);