Finite Group DatabasebetaFinite Group Databasebeta| order | 1472 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C29 |
| direct product | C22×Q8×D23 |
| Fitting | C22×Q8×C23 ⋊ C2 |
| Sylow | C23 ⋊ C23×Q8 |
850 conjugacy classes of subgroups.
| transitive degree | μt(G) = 736 |
260 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #15673319, #15673330, D23×#391, … |
| maximal normal subgroup of | #15673319, #15673330, D23×#391, … |
| maximal quotient of | C22×C4⋊C4×D23, C2×C4×Q8×D23, C22×#10625058, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1472, 1372);