Finite Group DatabasebetaFinite Group Databasebeta| order | 2368 |
| isoclinism | isoclinic class of Dic74 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C23 |
| direct product | C8×D148 |
| Fitting | C4×C8×C37 ⋊ C2 |
| Sylow | C37 ⋊ C8×D4 |
134 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1184 |
616 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #17992550, #17992552, C8×#10596939, … |
| maximal normal subgroup of | #17992550, #17992552, C8×#10596939, … |
| maximal quotient of | C8×D296, C8×#10596930, C8×Dic148, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2368, 616);