Finite Group DatabasebetaFinite Group Databasebeta| order | 1504 |
| isoclinism | isoclinic class of Dic94 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C23 |
| direct product | C4×D188 |
| Fitting | C42×C47 ⋊ C2 |
| Sylow | C47 ⋊ C4×D4 |
94 conjugacy classes of subgroups.
| transitive degree | μt(G) = 752 |
388 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #15688850, #15688852, #15689188, … |
| maximal normal subgroup of | #15688850, #15688852, #15689188, … |
| maximal quotient of | C4×(C2×D47)⋊C4, C4×C4⋊Dic47, #15688997, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1504, 110);