Finite Group DatabasebetaFinite Group Databasebeta| order | 11488 |
| automorphism | ? |
| homology | Abelianization (H1) = C23 · Schur multiplier (H2) = C22 |
No aliases for this group.
| Fitting | C2×Q8×C359 ⋊ C2 |
| Sylow | C359 ⋊ #137 |
60 conjugacy classes of subgroups.
Polycyclic presentation:
2^5,359|b^2=e,d^2=e,b^a=bd,c^a=ce,d^a=de,f^a=f^358,d^b=de1801 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #37526619, #37526620, #37526624, … |
| maximal normal subgroup of | #37526619, #37526620, #37526624, … |
| maximal quotient of | #37526442, #37526452, #37526483, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11488, 177);