Finite Group DatabasebetaFinite Group Databasebeta| order | 18112 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#22583575 |
| Sylow | C283 ⋊ C2×C4×Q8 |
298 conjugacy classes of subgroups.
| transitive degree | μt(G) = 18112 |
2860 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #49119583, #49119603, #49121056, … |
| maximal normal subgroup of | #49119583, #49119603, #49121056, … |
| maximal quotient of | C2×#31826316, C2×C4⋊C4×Dic283, C4×#22583575, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(18112, 1013);