Finite Group DatabasebetaFinite Group Databasebeta| order | 11584 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C181 ⋊ #328 |
80 conjugacy classes of subgroups.
Polycyclic presentation:
2^6,181|a^2=d,b^2=e,c^2=f,b^a=bc,c^a=ce,c^b=cf,d^b=def,g^b=g^1801819 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #328×D181, C2×#26041015, #37532204, … |
| maximal normal subgroup of | #328×D181, C2×#26041015, #37532204, … |
| maximal quotient of | #37531543, #37531546, #37531600, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11584, 285);