Finite Group DatabasebetaFinite Group Databasebeta| order | 18976 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C8 · Schur multiplier (H2) = C2 |
No aliases for this group.
| Sylow | C593 ⋊ C4⋊C8 |
38 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18976 |
Polycyclic presentation:
2^5,593|a^2=d,b^2=c,d^2=e,b^a=bc,f^a=f^77,f^b=f^592,f^d=f^5921204 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49183573, #49183574, #49183575, … |
| maximal normal subgroup of | #49183573, #49183574, #49183575, … |
| maximal quotient of | #49183577, #49183579, #49183581, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18976, 213);