Finite Group DatabasebetaFinite Group Databasebeta| order | 1472 |
| isoclinism | isoclinic class of Dic46 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C23×C4 |
| direct product | C4×C22⋊Dic23 |
| Sylow | C23 ⋊ C4×C22⋊C4 |
258 conjugacy classes of subgroups.
| transitive degree | μt(G) = 736 |
392 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #15671243, #15671244, #15671249, … |
| maximal normal subgroup of | #15671243, #15671244, #15671249, … |
| maximal quotient of | C4×C23⋊#95, #15671620, #15671624, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1472, 397);