Finite Group DatabasebetaFinite Group Databasebeta| order | 11824 |
| automorphism | ? |
| homology | Abelianization (H1) = C22 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Fitting | Q8×C739 ⋊ C2 |
| Sylow | C739 ⋊ SD16 |
20 conjugacy classes of subgroups.
Polycyclic presentation:
2^4,739|a^2=d,c^2=d,b^a=bc,c^a=cd,c^b=cd,e^b=e^7381852 conjugacy classes. The character table is too large to display.
| maximal subgroup of | SD16×D739, C2×#26044768, #37556680, … |
| maximal normal subgroup of | SD16×D739, C2×#26044768, #37556680, … |
| maximal quotient of | #37556580, #37556584, #37556591, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11824, 27);