Finite Group DatabasebetaFinite Group Databasebeta| order | 11488 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C25 |
| direct product | C22×Dic718 |
| Sylow | C359 ⋊ C22×Q8 |
156 conjugacy classes of subgroups.
2884 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37526347, #37526348, #37526349, … |
| maximal normal subgroup of | #37526347, #37526348, #37526349, … |
| maximal quotient of | C22×Dic359⋊C4, C22×C4⋊Dic359, C2×C4×Dic718, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11488, 186);