Finite Group DatabasebetaFinite Group Databasebeta| order | 18112 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C24×C4 |
| direct product | C2×#22583599 |
| Fitting | C22×Q8×C283 ⋊ C2 |
| Sylow | C283 ⋊ C2×#124 |
330 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9056 |
2848 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49121646, #49121662, #49121664, … |
| maximal normal subgroup of | #49121646, #49121662, #49121664, … |
| maximal quotient of | C2×#31826330, C2×#31826355, C2×#31826366, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18112, 1067);