Finite Group DatabasebetaFinite Group Databasebeta| order | 14176 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×Q8×C443 ⋊ C2 |
| Sylow | C443 ⋊ #137 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 7088 |
Polycyclic presentation:
2^5,443|b^2=e,d^2=e,b^a=bd,c^a=ce,d^a=de,f^a=f^442,d^b=de2221 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #43247893, #43247894, #43247898, … |
| maximal normal subgroup of | #43247893, #43247894, #43247898, … |
| maximal quotient of | #43247716, #43247726, #43247757, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14176, 177);