Finite Group DatabasebetaFinite Group Databasebeta| order | 2368 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#11924471 |
| Sylow | C37 ⋊ C2×#108 |
106 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1184 |
388 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #17994474, #17994476, #17994479, … |
| maximal normal subgroup of | #17994474, #17994476, #17994479, … |
| maximal quotient of | C2×#14557283, C2×#14557285, #17993342, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2368, 594);