Finite Group DatabasebetaFinite Group Databasebeta| order | 14368 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C4⋊C4×C449 ⋊ C2 |
| Sylow | C449 ⋊ C4×D4 |
94 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7184 |
Polycyclic presentation:
2^5,449|a^2=e,c^2=e,b^a=bd,f^b=f^448,f^c=f^4482260 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #43272087, #43272089, #43272092, … |
| maximal normal subgroup of | #43272087, #43272089, #43272092, … |
| maximal quotient of | #43271854, C4⋊C4×Dic449, #43271878, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14368, 108);