Finite Group DatabasebetaFinite Group Databasebeta| order | 22912 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C25 |
No aliases for this group.
| Sylow | C179 ⋊ #1442 |
520 conjugacy classes of subgroups.
| transitive degree | μt(G) = 22912 |
Polycyclic presentation:
2^7,179|a^2=g,b^2=e,c^2=d,b^a=bd,c^a=ce,h^a=h^178,c^b=cf,h^b=h^178,h^c=h^1783604 conjugacy classes. The character table is too large to display.
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(22912, 2769);