Finite Group DatabasebetaFinite Group Databasebeta| order | 9584 |
| automorphism | Aut(G) order 11462464 |
| homology | Abelianization (H1) = C22 · Schur multiplier (H2) = C1 |
| dicyclic | Dic2396 |
| Sylow | C599 ⋊ Q16 |
18 conjugacy classes of subgroups.
Polycyclic presentation:
2^4,599|a^2=d,b^2=d,c^2=d,b^a=bc,c^a=cd,e^a=e^598,c^b=cd,e^b=e^5982399 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #34062659, #34062660, #34062661, … |
| maximal normal subgroup of | #34062659, #34062660, #34062661, … |
| maximal quotient of | #34062640, #34062649, C2×Dic2396, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9584, 31);