Finite Group DatabasebetaFinite Group Databasebeta| order | 1472 |
| isoclinism | isoclinic class of Dic46 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C22×C4 |
| direct product | C4×C4⋊Dic23 |
| Sylow | C23 ⋊ C4×C4⋊C4 |
194 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1472 |
392 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #15671236, #15671237, #15671252, … |
| maximal normal subgroup of | #15671236, #15671237, #15671252, … |
| maximal quotient of | C4×C23⋊#95, #15671624, #15671627, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1472, 401);