Finite Group DatabasebetaFinite Group Databasebeta| order | 11936 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C22×C4 |
| direct product | C42×D373 |
| Fitting | C42×C373 ⋊ C2 |
| derived, Sylow | C373 ⋊ C2×C42 |
| subgroup | G/H | |
|---|---|---|
| center, hypercenter | C42 | D373 |
| commutator, hypocenter | C373 | C2×C42 |
| Frattini | C22 | C22×D373 |
| Fitting | C42×C373 | C2 |
| socle, cosocle | C22×C373 | C23 |
| prime radical | C22×D373 | C22 |
| LCS | G ▷ C373 | |
| UCS | C1 ◁ C42 | |
108 conjugacy classes of subgroups.
3008 conjugacy classes. The character table is too large to display.
| maximal subgroup of | C4×C8×D373, #97×D373, C4×#20238593, … |
| maximal normal subgroup of | C4×C8×D373, #97×D373, C4×#20238593, … |
| maximal quotient of | C42×Dic373, #95×D373, #37559267, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11936, 94);