Finite Group DatabasebetaFinite Group Databasebeta| order | 2368 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | #41×#3866 |
| Fitting | #41×C37 ⋊ C4 |
| Sylow | C37 ⋊ C4×#41 |
310 conjugacy classes of subgroups.
| transitive degree | μt(G) = 296 |
130 conjugacy classes — view the full character table.
| maximal subgroup of | #104×#3866, #18010361, #18010633, … |
| maximal normal subgroup of | #104×#3866, #18010361, #18010633, … |
| maximal quotient of | #117×#3866, C4×D4×#3866, C4×Q8×#3866, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2368, 1615);