Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C42 |
No aliases for this group.
| Sylow | C181 ⋊ #376 |
178 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,181|a^2=e,b^2=f,c^2=d,b^a=bd,g^b=g^1802920 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37531549, #37531613, #37531615, … |
| maximal normal subgroup of | #37531549, #37531613, #37531615, … |
| maximal quotient of | C4×#19153723, #37531946, #37531948, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 395);