Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C4 · Schur multiplier (H2) = C27 |
No aliases for this group.
| Fitting | C22×C22⋊C4×C89 ⋊ C2 |
| Sylow | C89 ⋊ #1438 |
1168 conjugacy classes of subgroups.
Polycyclic presentation:
2^7,89|a^2=g,b^a=bd,c^a=ce,c^b=cf,h^c=h^881804 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36446997, #1438×D89, C2×#26018491, … |
| maximal normal subgroup of | #36446997, #1438×D89, C2×#26018491, … |
| maximal quotient of | #36442349, #36442350, #36442354, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 2749);