Finite Group DatabasebetaFinite Group Databasebeta| order | 14368 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#20297726 |
| Sylow | C449 ⋊ C2×Q16 |
60 conjugacy classes of subgroups.
| transitive degree | μt(G) = 14368 |
2254 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #43272099, C4×#20297726, #43272111, … |
| maximal normal subgroup of | #43272099, C4×#20297726, #43272111, … |
| maximal quotient of | C2×#28385263, C2×#28385264, C2×#28385273, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(14368, 163);