Finite Group DatabasebetaFinite Group Databasebeta| order | 11824 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
| direct product | C2×Dic1478 |
| unambiguous semidirect product | (C2×C739)⋊Q8 |
| Sylow | C739 ⋊ C2×Q8 |
38 conjugacy classes of subgroups.
2962 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37556578, #37556583, #37556585, … |
| maximal normal subgroup of | #37556578, #37556583, #37556585, … |
| maximal quotient of | C2×Dic739⋊C4, C2×C4⋊Dic739, C4×Dic1478, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11824, 38);