Finite Group DatabasebetaFinite Group Databasebeta| order | 14272 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C16 · Schur multiplier (H2) = C1 |
No aliases for this group.
| Sylow | C223 ⋊ M64 |
32 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7136 |
Polycyclic presentation:
2^6,223|a^2=c,c^2=d,d^2=e,e^2=f,b^a=bf,g^a=g^2223592 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #43252928, #43252929, #43252932, … |
| maximal normal subgroup of | #43252928, #43252929, #43252932, … |
| maximal quotient of | #43252927, #43252931, #43252989 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14272, 383);