Finite Group DatabasebetaFinite Group Databasebeta| order | 2336 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C22 |
| direct product | C2×#11924012 |
| Sylow | C73 ⋊ C2×M16 |
68 conjugacy classes of subgroups.
| transitive degree | μt(G) = 1168 |
596 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #17988343, #17988345, #17988346, … |
| maximal normal subgroup of | #17988343, #17988345, #17988346, … |
| maximal quotient of | C2×#14556502, C4×#11924012, C2×C22⋊#10596831, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(2336, 151);