Finite Group Databasebeta

← Group #66652

Character table — Group #66652

Order 336.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38
size112666677771414141414141414112666677771414141414141414
order124714282833664412121212121222414142828666644121212121212
χ111111111111111111111111111111111111111
χ211111111111-1-111-1-1-1-111111111111-1-111-1-1-1-1
χ31111111−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i321111111−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32
χ41111111−1−i32−1+i32−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i321111111−1−i32−1+i32−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i32
χ51111111−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i321111111−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32
χ61111111−1+i32−1−i32−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i321111111−1+i32−1−i32−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i32
χ711-111-1-111111-1-1-11-11-111-111-1-111111-1-1-11-11-1
χ811-111-1-11111-11-1-1-11-1111-111-1-11111-11-1-1-11-11
χ911-111-1-1−1−i32−1+i32−1−i32−1+i321-11+i321−i32−1−i321+i32−1+i321−i3211-111-1-1−1−i32−1+i32−1−i32−1+i321-11+i321−i32−1−i321+i32−1+i321−i32
χ1011-111-1-1−1−i32−1+i32−1−i32−1+i32-111+i321−i321+i32−1−i321−i32−1+i3211-111-1-1−1−i32−1+i32−1−i32−1+i32-111+i321−i321+i32−1−i321−i32−1+i32
χ1111-111-1-1−1+i32−1−i32−1+i32−1−i321-11−i321+i32−1+i321−i32−1−i321+i3211-111-1-1−1+i32−1−i32−1+i32−1−i321-11−i321+i32−1+i321−i32−1−i321+i32
χ1211-111-1-1−1+i32−1−i32−1+i32−1−i32-111−i321+i321−i32−1+i321+i32−1−i3211-111-1-1−1+i32−1−i32−1+i32−1−i32-111−i321+i321−i32−1+i321+i32−1−i32
χ132-202-20022-2-2000000002-202-20022-2-200000000
χ142-202-200−1−i3−1+i31+i31−i3000000002-202-200−1−i3−1+i31+i31−i300000000
χ152-202-200−1+i3−1−i31−i31+i3000000002-202-200−1+i3−1−i31−i31+i300000000
χ16666-1-1-1-1000000000000666-1-1-1-1000000000000
χ1766-6-1-11100000000000066-6-1-111000000000000
χ186-60-117−70000000000006-60-117−7000000000000
χ196-60-11−770000000000006-60-11−77000000000000
χ201111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ2111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111
χ221111111−1−i32−1+i32−1−i32−1+i3211−1−i32−1+i32−1−i32−1−i32−1+i32−1+i32-1-1-1-1-1-1-11+i321−i321+i321−i32-1-11+i321−i321+i321+i321−i321−i32
χ231111111−1−i32−1+i32−1−i32−1+i32-1-1−1−i32−1+i321+i321+i321−i321−i32-1-1-1-1-1-1-11+i321−i321+i321−i32111+i321−i32−1−i32−1−i32−1+i32−1+i32
χ241111111−1+i32−1−i32−1+i32−1−i3211−1+i32−1−i32−1+i32−1+i32−1−i32−1−i32-1-1-1-1-1-1-11−i321+i321−i321+i32-1-11−i321+i321−i321−i321+i321+i32
χ251111111−1+i32−1−i32−1+i32−1−i32-1-1−1+i32−1−i321−i321−i321+i321+i32-1-1-1-1-1-1-11−i321+i321−i321+i32111−i321+i32−1+i32−1+i32−1−i32−1−i32
χ2611-111-1-111111-1-1-11-11-1-1-11-1-111-1-1-1-1-1111-11-11
χ2711-111-1-11111-11-1-1-11-11-1-11-1-111-1-1-1-11-1111-11-1
χ2811-111-1-1−1−i32−1+i32−1−i32−1+i321-11+i321−i32−1−i321+i32−1+i321−i32-1-11-1-1111+i321−i321+i321−i32-11−1−i32−1+i321+i32−1−i321−i32−1+i32
χ2911-111-1-1−1−i32−1+i32−1−i32−1+i32-111+i321−i321+i32−1−i321−i32−1+i32-1-11-1-1111+i321−i321+i321−i321-1−1−i32−1+i32−1−i321+i32−1+i321−i32
χ3011-111-1-1−1+i32−1−i32−1+i32−1−i321-11−i321+i32−1+i321−i32−1−i321+i32-1-11-1-1111−i321+i321−i321+i32-11−1+i32−1−i321−i32−1+i321+i32−1−i32
χ3111-111-1-1−1+i32−1−i32−1+i32−1−i32-111−i321+i321−i32−1+i321+i32−1−i32-1-11-1-1111−i321+i321−i321+i321-1−1+i32−1−i32−1+i321−i32−1−i321+i32
χ322-202-20022-2-200000000-220-2200-2-22200000000
χ332-202-200−1−i3−1+i31+i31−i300000000-220-22001+i31−i3−1−i3−1+i300000000
χ342-202-200−1+i3−1−i31−i31+i300000000-220-22001−i31+i3−1+i3−1−i300000000
χ35666-1-1-1-1000000000000-6-6-61111000000000000
χ3666-6-1-111000000000000-6-6611-1-1000000000000
χ376-60-117−7000000000000-6601-1−77000000000000
χ386-60-11−77000000000000-6601-17−7000000000000

Here i is the imaginary unit (i² = −1).