Finite Group DatabasebetaFinite Group Databasebeta| order | 9344 |
| automorphism | ? |
| homology | Abelianization (H1) = C23×C8 · Schur multiplier (H2) = C26 |
| direct product | C2×#17988650 |
| Fitting | C2×C22⋊C8×C73 ⋊ C2 |
| Sylow | C73 ⋊ C2×C8×D4 |
616 conjugacy classes of subgroups.
1520 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #32976524, #32976529, #32978877, … |
| maximal normal subgroup of | #32976524, #32976529, #32978877, … |
| maximal quotient of | C2×#22608723, C2×#22608728, C2×#22608734, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(9344, 13180);