Finite Group DatabasebetaFinite Group Databasebeta| order | 17728 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C2×C4 |
No aliases for this group.
| Sylow | C277 ⋊ #431 |
118 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8864 |
Polycyclic presentation:
2^6,277|a^2=e,c^2=d,e^2=f,b^a=bd,g^c=g^2762800 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #47981478, #47981480, #47981486, … |
| maximal normal subgroup of | #47981478, #47981480, #47981486, … |
| maximal quotient of | #47982911, C22⋊C8×Dic277, #47983015, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(17728, 599);