Finite Group DatabasebetaFinite Group Databasebeta| order | 14704 |
| automorphism | ? |
| homology | Abelianization (H1) = C22 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Fitting | Q8×C919 ⋊ C2 |
| Sylow | C919 ⋊ SD16 |
20 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7352 |
Polycyclic presentation:
2^4,919|a^2=d,c^2=d,b^a=bc,c^a=cd,c^b=cd,e^b=e^9182302 conjugacy classes. The character table is too large to display.
| maximal subgroup of | SD16×D919, C2×#28413628, #44440799, … |
| maximal normal subgroup of | SD16×D919, C2×#28413628, #44440799, … |
| maximal quotient of | #44440699, #44440703, #44440710, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14704, 27);