Finite Group DatabasebetaFinite Group Databasebeta| order | 18112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#22583553 |
| Fitting | C2×Q16×C283 ⋊ C2 |
| Sylow | C283 ⋊ C2×SD32 |
90 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9056 |
1996 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49123110, C4×#22583553, #49123123, … |
| maximal normal subgroup of | #49123110, C4×#22583553, #49123123, … |
| maximal quotient of | C2×#31826265, C2×#31826269, C2×#31826292, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18112, 972);