Finite Group DatabasebetaFinite Group Databasebeta| order | 18112 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#22583528 |
| Sylow | C283 ⋊ C2×#101 |
146 conjugacy classes of subgroups.
| transitive degree | μt(G) = 9056 |
2842 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49121056, C4×#22583528, #49121183, … |
| maximal normal subgroup of | #49121056, C4×#22583528, #49121183, … |
| maximal quotient of | C2×#31826190, #49119584, #49119590, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18112, 528);