Finite Group DatabasebetaFinite Group Databasebeta| order | 2368 |
| isoclinism | isoclinic class of Dic74 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
| direct product | C8×Dic74 |
| Sylow | C37 ⋊ C8×Q8 |
102 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2368 |
616 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #17992574, #17992576, C8×#10596940, … |
| maximal normal subgroup of | #17992574, #17992576, C8×#10596940, … |
| maximal quotient of | C8×C4⋊Dic37, C8×#10596936, #17995152, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2368, 674);