Finite Group DatabasebetaFinite Group Databasebeta| order | 24448 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C26 |
No aliases for this group.
| Fitting | C2×#123×C191 ⋊ C2 |
| Sylow | C191 ⋊ #2405 |
1116 conjugacy classes of subgroups.
| transitive degree | μt(G) = 6112 |
Polycyclic presentation:
2^7,191|c^2=e,b^a=be,c^a=cf,d^a=de,c^b=cg,h^b=h^1902698 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(24448, 7834);