Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×#17988426 |
| Fitting | C2×C32×C73 ⋊ C2 |
| Sylow | C73 ⋊ C2×SD64 |
112 conjugacy classes of subgroups.
2342 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #33006562, C4×#17988426, #33006574, … |
| maximal normal subgroup of | #33006562, C4×#17988426, #33006574, … |
| maximal quotient of | C2×#22608110, C2×#22608113, C2×#22608133, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 6812);