Finite Group DatabasebetaFinite Group Databasebeta| order | 18976 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
No aliases for this group.
| Fitting | C22⋊C4×C593 ⋊ C2 |
| Sylow | C593 ⋊ C4×D4 |
94 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9488 |
Polycyclic presentation:
2^5,593|a^2=e,c^2=e,b^a=bd,f^c=f^5922980 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×D4×D593, C2×#34039245, C4×#23748732, … |
| maximal normal subgroup of | C4×D4×D593, C2×#34039245, C4×#23748732, … |
| maximal quotient of | #49182562, C22⋊C4×Dic593, #49182566, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18976, 106);