Finite Group DatabasebetaFinite Group Databasebeta| order | 18896 |
| automorphism | ? |
| homology | Abelianization (H1) = C22 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C1181 ⋊ Q16 |
18 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18896 |
Polycyclic presentation:
2^4,1181|a^2=d,b^2=d,c^2=d,b^a=bc,c^a=cd,c^b=cd,e^b=e^11802957 conjugacy classes. The character table is too large to display.
| maximal subgroup of | Q16×D1181, C2×#34038581, #49180423, … |
| maximal normal subgroup of | Q16×D1181, C2×#34038581, #49180423, … |
| maximal quotient of | #49180326, #49180327, #49180336, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18896, 30);