Finite Group DatabasebetaFinite Group Databasebeta| order | 18976 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×C4⋊Dic593 |
| Sylow | C593 ⋊ C2×C4⋊C4 |
92 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18976 |
4756 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49182477, #49182478, #49182483, … |
| maximal normal subgroup of | #49182477, #49182478, #49182483, … |
| maximal quotient of | C2×#34039192, C4×C4⋊Dic593, #49182575, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18976, 101);