Finite Group DatabasebetaFinite Group Databasebeta| order | 18976 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C2×Q8×D593 |
| Fitting | C2×Q8×C593 ⋊ C2 |
| Sylow | C593 ⋊ C22×Q8 |
156 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9488 |
2980 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #101×D593, #103×D593, #49182722, … |
| maximal normal subgroup of | #101×D593, #103×D593, #49182722, … |
| maximal quotient of | C2×C4⋊C4×D593, C4×Q8×D593, C2×#34039250, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18976, 185);