Finite Group DatabasebetaFinite Group Databasebeta| order | 2368 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#11924453 |
| Sylow | C37 ⋊ C2×#100 |
186 conjugacy classes of subgroups.
| transitive degree | μt(G) = 592 |
382 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #17992713, #17992714, C4×#11924453, … |
| maximal normal subgroup of | #17992713, #17992714, C4×#11924453, … |
| maximal quotient of | C2×#14557257, #17992917, #17992923, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2368, 526);