Finite Group DatabasebetaFinite Group Databasebeta| order | 11504 |
| automorphism | ? |
| homology | Abelianization (H1) = C22 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Fitting | C8×C719 ⋊ C2 |
| Sylow | C719 ⋊ SD16 |
20 conjugacy classes of subgroups.
Polycyclic presentation:
2^4,719|a^2=d,c^2=d,b^a=bc,c^a=cd,e^a=e^718,c^b=cd,e^b=e^7182879 conjugacy classes. The character table is too large to display.
| maximal subgroup of | SD16×D719, C2×#26040172, #37527615, … |
| maximal normal subgroup of | SD16×D719, C2×#26040172, #37527615, … |
| maximal quotient of | #37527516, #37527519, #37527526, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11504, 29);