Finite Group DatabasebetaFinite Group Databasebeta| order | 2368 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
| direct product | Q8×#64436 |
| Sylow | C37 ⋊ C8×Q8 |
102 conjugacy classes of subgroups.
| transitive degree | μt(G) = 2368 |
400 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #17993393, SD16×#64436, #17993400, … |
| maximal normal subgroup of | #17993393, SD16×#64436, #17993400, … |
| maximal quotient of | C4⋊C4×#64436, #17995155, #17995315, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2368, 675);