Finite Group DatabasebetaFinite Group Databasebeta| order | 1472 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C2×#10624998 |
| Sylow | C23 ⋊ C2×#103 |
162 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1472 |
380 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #15673216, C4×#10624998, #15673226, … |
| maximal normal subgroup of | #15673216, C4×#10624998, #15673226, … |
| maximal quotient of | C2×#13092149, #15671801, #15671827, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1472, 541);