Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C24 · Schur multiplier (H2) = C23×C4 |
| direct product | C2×#19151996 |
| Sylow | C89 ⋊ C2×#498 |
424 conjugacy classes of subgroups.
2860 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36449690, #36449692, #36453643, … |
| maximal normal subgroup of | #36449690, #36449692, #36453643, … |
| maximal quotient of | C2×#26020409, C2×#26020980, C2×#26021213, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 15009);