Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C25 · Schur multiplier (H2) = C28 |
| direct product | Q8×#13083574 |
| Fitting | C2×C4×Q8×C89 ⋊ C2 |
| Sylow | C89 ⋊ Q8×#41 |
1068 conjugacy classes of subgroups.
1810 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36446469, #36446473, #36521302, … |
| maximal normal subgroup of | #36446469, #36446473, #36521302, … |
| maximal quotient of | C4⋊C4×#13083574, Q8×#15667969, Q8×#15667971, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 18091);