Finite Group DatabasebetaFinite Group Databasebeta| order | 1472 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C4×#67292 |
| Fitting | C4×Q8×C23 ⋊ C2 |
| Sylow | C23 ⋊ C4×#41 |
310 conjugacy classes of subgroups.
| transitive degree | μt(G) = 736 |
260 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #15671778, #15671783, #15671830, … |
| maximal normal subgroup of | #15671778, #15671783, #15671830, … |
| maximal quotient of | C4×#10625063, C4×#10625064, C4×Q8×Dic23, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1472, 1019);