Finite Group Databasebeta

← Group #64253

Character table — Group #64253

Order 288.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39
size112668888121212121126688881212121211266888812121212
order1224436662488366121236666122424366121236666122424
χ1111111111111111111111111111111111111111
χ2111111111-1-1-1-1111111111-1-1-1-1111111111-1-1-1-1
χ311-1-1111-1-11-11-111-1-1111-1-11-11-111-1-1111-1-11-11-1
χ411-1-1111-1-1-11-1111-1-1111-1-1-11-1111-1-1111-1-1-11-11
χ522222-1-1-1-1000022222-1-1-1-1000022222-1-1-1-10000
χ622-2-22-1-111000022-2-22-1-111000022-2-22-1-1110000
χ7333-1-1000011-1-1333-1-1000011-1-1333-1-1000011-1-1
χ8333-1-10000-1-111333-1-10000-1-111333-1-10000-1-111
χ933-31-100001-1-1133-31-100001-1-1133-31-100001-1-11
χ1033-31-10000-111-133-31-10000-111-133-31-10000-111-1
χ114-40001-1i3−i300004-40001-1i3−i300004-40001-1i3−i30000
χ124-40001-1−i3i300004-40001-1−i3i300004-40001-1−i3i30000
χ134-4000-220000004-4000-220000004-4000-22000000
χ141111111111111−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32
χ15111111111-1-1-1-1−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32
χ1611-1-1111-1-11-11-1−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32
χ1711-1-1111-1-1-11-11−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32
χ1822222-1-1-1-10000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i320000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i320000
χ1922-2-22-1-1110000−1+i3−1+i31−i31−i3−1+i31−i321−i32−1+i32−1+i320000−1−i3−1−i31+i31+i3−1−i31+i321+i32−1−i32−1−i320000
χ20333-1-1000011-1-1−3+3i32−3+3i32−3+3i321−i321−i320000−1+i32−1+i321−i321−i32−3−3i32−3−3i32−3−3i321+i321+i320000−1−i32−1−i321+i321+i32
χ21333-1-10000-1-111−3+3i32−3+3i32−3+3i321−i321−i3200001−i321−i32−1+i32−1+i32−3−3i32−3−3i32−3−3i321+i321+i3200001+i321+i32−1−i32−1−i32
χ2233-31-100001-1-11−3+3i32−3+3i323−3i32−1+i321−i320000−1+i321−i321−i32−1+i32−3−3i32−3−3i323+3i32−1−i321+i320000−1−i321+i321+i32−1−i32
χ2333-31-10000-111-1−3+3i32−3+3i323−3i32−1+i321−i3200001−i32−1+i32−1+i321−i32−3−3i32−3−3i323+3i32−1−i321+i3200001+i32−1−i32−1−i321+i32
χ244-40001-1i3−i30000−2+2i32−2i3000−1+i321−i32−3−i323+i320000−2−2i32+2i3000−1−i321+i323−i32−3+i320000
χ254-40001-1−i3i30000−2+2i32−2i3000−1+i321−i323+i32−3−i320000−2−2i32+2i3000−1−i321+i32−3+i323−i320000
χ264-4000-22000000−2+2i32−2i30001−i3−1+i3000000−2−2i32+2i30001+i3−1−i3000000
χ271111111111111−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32
χ28111111111-1-1-1-1−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i32−1−i321+i321+i321+i321+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i32−1+i321−i321−i321−i321−i32
χ2911-1-1111-1-11-11-1−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i32−1−i321+i32−1−i321+i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i32−1+i321−i32−1+i321−i32
χ3011-1-1111-1-1-11-11−1−i32−1−i321+i321+i32−1−i32−1−i32−1−i321+i321+i321+i32−1−i321+i32−1−i32−1+i32−1+i321−i321−i32−1+i32−1+i32−1+i321−i321−i321−i32−1+i321−i32−1+i32
χ3122222-1-1-1-10000−1−i3−1−i3−1−i3−1−i3−1−i31+i321+i321+i321+i320000−1+i3−1+i3−1+i3−1+i3−1+i31−i321−i321−i321−i320000
χ3222-2-22-1-1110000−1−i3−1−i31+i31+i3−1−i31+i321+i32−1−i32−1−i320000−1+i3−1+i31−i31−i3−1+i31−i321−i32−1+i32−1+i320000
χ33333-1-1000011-1-1−3−3i32−3−3i32−3−3i321+i321+i320000−1−i32−1−i321+i321+i32−3+3i32−3+3i32−3+3i321−i321−i320000−1+i32−1+i321−i321−i32
χ34333-1-10000-1-111−3−3i32−3−3i32−3−3i321+i321+i3200001+i321+i32−1−i32−1−i32−3+3i32−3+3i32−3+3i321−i321−i3200001−i321−i32−1+i32−1+i32
χ3533-31-100001-1-11−3−3i32−3−3i323+3i32−1−i321+i320000−1−i321+i321+i32−1−i32−3+3i32−3+3i323−3i32−1+i321−i320000−1+i321−i321−i32−1+i32
χ3633-31-10000-111-1−3−3i32−3−3i323+3i32−1−i321+i3200001+i32−1−i32−1−i321+i32−3+3i32−3+3i323−3i32−1+i321−i3200001−i32−1+i32−1+i321−i32
χ374-40001-1i3−i30000−2−2i32+2i3000−1−i321+i323−i32−3+i320000−2+2i32−2i3000−1+i321−i32−3−i323+i320000
χ384-40001-1−i3i30000−2−2i32+2i3000−1−i321+i32−3+i323−i320000−2+2i32−2i3000−1+i321−i323+i32−3−i320000
χ394-4000-22000000−2−2i32+2i30001+i3−1−i3000000−2+2i32−2i30001−i3−1+i3000000

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