Finite Group DatabasebetaFinite Group Databasebeta| order | 2368 |
| isoclinism | isoclinic class of Dic74 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C26 |
| direct product | C2×C4×C22⋊D37 |
| Fitting | C23×C4×C37 ⋊ C2 |
| Sylow | C37 ⋊ C2×C4×D4 |
426 conjugacy classes of subgroups; only the 183 normal subgroups are shown.
This group has 426 conjugacy classes of subgroups — too many to draw. Only its 183 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
| transitive degree | μt(G) = 1184 |
616 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #17992912, #17992932, C4×#11924450, … |
| maximal normal subgroup of | #17992912, #17992932, C4×#11924450, … |
| maximal quotient of | C2×C4×C22⋊Dic37, C2×C4×#10596938, C2×C4×#10596936, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2368, 1008);