Finite Group DatabasebetaFinite Group Databasebeta| order | 11392 |
| automorphism | ? |
| homology | Abelianization (H1) = C2×C42 · Schur multiplier (H2) = C2×C4 |
| direct product | C4×#15667948 |
| Sylow | C89 ⋊ C4×#108 |
228 conjugacy classes of subgroups.
2872 conjugacy classes. The character table is too large to display.
| maximal subgroup of | #36441345, #36441346, #36441348, … |
| maximal normal subgroup of | #36441345, #36441346, #36441348, … |
| maximal quotient of | C4×#19151349, C4×#19151351, #36445617, … |
Construct this group in GAP via the SmallGroups library:
gap> SmallGroup(11392, 4412);