Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C24×C4 · Schur multiplier (H2) = C29 |
| direct product | C22×Q8×Dic89 |
| Sylow | C89 ⋊ C22×C4×Q8 |
1664 conjugacy classes of subgroups.
1840 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36459856, #36459997, #391×Dic89, … |
| maximal normal subgroup of | #36459856, #36459997, #391×Dic89, … |
| maximal quotient of | C22×C4⋊C4×Dic89, C2×C4×Q8×Dic89, C22×#19151484, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 17686);