Finite Group DatabasebetaFinite Group Databasebeta| order | 18112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#22583617 |
| Sylow | C283 ⋊ C2×#131 |
266 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9056 |
2860 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49121063, #49121064, #49121099, … |
| maximal normal subgroup of | #49121063, #49121064, #49121099, … |
| maximal quotient of | C2×#31826421, C4×#22583617, C2×#31826432, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18112, 1312);