Finite Group DatabasebetaFinite Group Databasebeta| order | 17488 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C4 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C1093 ⋊ C4⋊C4 |
26 conjugacy classes of subgroups.
| transitive degree | μt(G) = 17488 |
Polycyclic presentation:
2^4,1093|a^2=d,b^2=c,b^a=bc,e^b=e^10924378 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4⋊C4×D1093, C2×#31775772, #46854063, … |
| maximal normal subgroup of | C4⋊C4×D1093, C2×#31775772, #46854063, … |
| maximal quotient of | #46854014, #46854036, #46854038, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17488, 19);