Finite Group DatabasebetaFinite Group Databasebeta| order | 18112 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
| direct product | Q8×C283⋊C8 |
| Sylow | C283 ⋊ C8×Q8 |
102 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18112 |
2860 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49120058, SD16×C283⋊C8, #49120065, … |
| maximal normal subgroup of | #49120058, SD16×C283⋊C8, #49120065, … |
| maximal quotient of | C4⋊C4×C283⋊C8, #49121820, #49121980, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18112, 675);