Finite Group DatabasebetaFinite Group Databasebeta| order | 1248 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C3 · Schur multiplier (H2) = C25 |
| direct product | C2×#10597707 |
| Fitting | C2×Q8×C13 ⋊ C2×C3 |
| Hall | C2×#6131 ⋊ C3 |
| Hall | C13⋊C3 ⋊ C2×#41 |
| Sylow | C13 ⋊ C2×C3×#41 |
328 conjugacy classes of subgroups.
| transitive degree | μt(G) = 208 |
80 conjugacy classes — view the full character table.
| maximal subgroup of | C2×#41×D13⋊C3, C2×#11929141 |
| maximal normal subgroup of | C2×#41×D13⋊C3, C2×#11929141 |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(1248, 1250);