Finite Group DatabasebetaFinite Group Databasebeta| order | 18896 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C1181 ⋊ M16 |
20 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9448 |
Polycyclic presentation:
2^4,1181|a^2=c,c^2=d,b^a=bd,e^a=e^938,e^c=e^11801190 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49180463, #49180464, C2×#34038600, … |
| maximal normal subgroup of | #49180463, #49180464, C2×#34038600, … |
| maximal quotient of | #49180458, C22⋊#22628136, #49180470, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18896, 49);