Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C22×C42 · Schur multiplier (H2) = C25×C4 |
| direct product | C4×D4×Dic89 |
| Sylow | C89 ⋊ C42×D4 |
924 conjugacy classes of subgroups.
1840 conjugacy classes. The character table is too large to display.
| maximal subgroup of | D4⋊C8×Dic89, #36445032, #36445042, … |
| maximal normal subgroup of | D4⋊C8×Dic89, #36445032, #36445042, … |
| maximal quotient of | C4×C22⋊C4×Dic89, C4×C4⋊C4×Dic89, C4×#19151478, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 6857);