Finite Group DatabasebetaFinite Group Databasebeta| order | 18112 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C22×Q8×D283 |
| Fitting | C22×Q8×C283 ⋊ C2 |
| Sylow | C283 ⋊ C23×Q8 |
850 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9056 |
2860 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49121183, #49121194, #391×D283, … |
| maximal normal subgroup of | #49121183, #49121194, #391×D283, … |
| maximal quotient of | C22×C4⋊C4×D283, C2×C4×Q8×D283, C22×#22583575, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18112, 1372);