Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C4 · Schur multiplier (H2) = C25 |
| direct product | C2×#17988684 |
| Sylow | C73 ⋊ C2×#440 |
544 conjugacy classes of subgroups; only the 197 normal subgroups are shown.
This group has 544 conjugacy classes of subgroups — too many to draw. Only its 197 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
1052 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×#17988684, #33084479, #33084499, … |
| maximal normal subgroup of | C4×#17988684, #33084479, #33084499, … |
| maximal quotient of | C2×#22608740, C2×#22608785, C2×#22608812, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 13286);