Finite Group DatabasebetaFinite Group Databasebeta| order | 1472 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C8 · Schur multiplier (H2) = C22 |
| direct product | Q8×C23⋊C8 |
| Sylow | C23 ⋊ C8×Q8 |
102 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1472 |
260 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #15672194, SD16×C23⋊C8, #15672201, … |
| maximal normal subgroup of | #15672194, SD16×C23⋊C8, #15672201, … |
| maximal quotient of | C4⋊C4×C23⋊C8, #15673956, #15674116, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1472, 675);