Finite Group DatabasebetaFinite Group Databasebeta| order | 2368 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#11924472 |
| Sylow | C37 ⋊ C2×#108 |
106 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1184 |
604 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #17992689, #17992690, #17992691, … |
| maximal normal subgroup of | #17992689, #17992690, #17992691, … |
| maximal quotient of | C2×#14557284, C2×#14557286, #17993344, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2368, 595);