Finite Group DatabasebetaFinite Group Databasebeta| order | 18112 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C16 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C283 ⋊ M64 |
32 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9056 |
Polycyclic presentation:
2^6,283|a^2=c,c^2=d,d^2=e,e^2=f,b^a=bf,g^a=g^2824552 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49119396, #49119397, #49119400, … |
| maximal normal subgroup of | #49119396, #49119397, #49119400, … |
| maximal quotient of | #49119395, C22⋊(C283⋊C32), C4⋊(C283⋊C32), … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18112, 383);