Finite Group DatabasebetaFinite Group Databasebeta| order | 15056 |
| automorphism | ? |
| homology | Abelianization (H1) = C22 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Fitting | C8×C941 ⋊ C2 |
| Sylow | C941 ⋊ SD16 |
20 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7528 |
Polycyclic presentation:
2^4,941|a^2=d,c^2=d,b^a=bc,c^a=cd,e^a=e^940,c^b=cd,e^b=e^9403767 conjugacy classes. The character table is too large to display.
| maximal subgroup of | SD16×D941, C2×#28418858, #44474300, … |
| maximal normal subgroup of | SD16×D941, C2×#28418858, #44474300, … |
| maximal quotient of | #44474201, #44474204, #44474211, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(15056, 29);