Finite Group DatabasebetaFinite Group Databasebeta| order | 2368 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C22×#10596936 |
| Sylow | C37 ⋊ C22×C4⋊C4 |
418 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2368 |
616 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #17992824, #17992827, #17992829, … |
| maximal normal subgroup of | #17992824, #17992827, #17992829, … |
| maximal quotient of | C22×#11924443, C2×C4×#10596936, C2×#14557391, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2368, 999);