Finite Group DatabasebetaFinite Group Databasebeta| order | 18112 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23 |
| direct product | #97×D283 |
| Fitting | #97×C283 ⋊ C2 |
| Sylow | C283 ⋊ C2×#97 |
146 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9056 |
2860 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #329×D283, #330×D283, #49119846, … |
| maximal normal subgroup of | #329×D283, #330×D283, #49119846, … |
| maximal quotient of | #322×D283, #49119547, #49119549, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18112, 496);