Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C23×C4 |
| direct product | C2×#17988950 |
| Fitting | C2×#102×C73 ⋊ C2 |
| Sylow | C73 ⋊ C2×#490 |
488 conjugacy classes of subgroups; only the 141 normal subgroups are shown.
This group has 488 conjugacy classes of subgroups — too many to draw. Only its 141 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
1040 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#17988950, #33094054, #33094071, … |
| maximal normal subgroup of | C4×#17988950, #33094054, #33094071, … |
| maximal quotient of | C2×#22610063, C2×#22610625, C2×#22610626, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 14843);