Finite Group DatabasebetaFinite Group Databasebeta| order | 16448 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24 |
No aliases for this group.
| Sylow | C257 ⋊ #533 |
222 conjugacy classes of subgroups.
| transitive degree | μt(G) = 8224 |
Polycyclic presentation:
2^6,257|a^2=f,c^2=f,d^2=e,b^a=be,c^a=cf,g^c=g^2562588 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #45665262, #45665295, #45665299, … |
| maximal normal subgroup of | #45665262, #45665295, #45665299, … |
| maximal quotient of | #45666723, #45666792, #45666802, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(16448, 1102);