Finite Group Databasebeta

← Group #10592733

Character table — Group #10592733

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75
size11112222222222222222222244444444444444444444444448888888888888888883636363636363636
order122222333344666666666666466666666121212121212121212121212121212122466666666121212121212121244448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111-1-1111111111111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-111-1-111-1-1
χ61111-1-1111111111111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1-1-111-1-111
χ71111-1-1111111111111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-11111111111-1-1-1-111
χ81111-1-1111111111111111111-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-11111-1-1
χ92222222222-2-2222222222222-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000
χ102222222-1-1-1222-1-1-122-1-1-1-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-100000000
χ112222222-1-1-1222-1-1-122-1-1-1-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2111111-2-211111100000000
χ122222222-1-1-1-2-22-1-1-122-1-1-1-1-1-1-222-1-1-1-1-1-1-2-2111111-2-21111110000−i3−i3−i3i3i3i300−i3−i3−i3i3i3i300000000
χ132222222-1-1-1-2-22-1-1-122-1-1-1-1-1-1-222-1-1-1-1-1-1-2-2111111-2-21111110000i3i3i3−i3−i3−i300i3i3i3−i3−i3−i300000000
χ14222222-12-1-122-12-1-1-1-122-1-1-1-12-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-122-1-12-1-12-1-1-1-12-1-12-1-100000000
χ15222222-12-1-122-12-1-1-1-122-1-1-1-12-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-2-211-211-21111-211-21100000000
χ16222222-12-1-1-2-2-12-1-1-1-122-1-1-1-1-2-1-122-1-1-1-111-2-2111111-2-2111100−i3i30−i3i30−i3i3−i3i30−i3i30−i3i300000000
χ17222222-12-1-1-2-2-12-1-1-1-122-1-1-1-1-2-1-122-1-1-1-111-2-2111111-2-2111100i3−i30i3−i30i3−i3i3−i30i3−i30i3−i300000000
χ18222222-1-12-122-1-12-1-1-1-1-122-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-122-1-1-12-1-1-12-1-1-12-1-1-1200000000
χ19222222-1-12-122-1-12-1-1-1-1-122-1-12-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-2-2111-2111-2111-2111-200000000
χ20222222-1-12-1-2-2-1-12-1-1-1-1-122-1-1-2-1-1-1-122-1-11111-2-2111111-2-21100−i3i3i30−i3−i3i30−i3i3i30−i3−i3i3000000000
χ21222222-1-12-1-2-2-1-12-1-1-1-1-122-1-1-2-1-1-1-122-1-11111-2-2111111-2-21100i3−i3−i30i3i3−i30i3−i3−i30i3i3−i3000000000
χ22222222-1-1-1222-1-1-12-1-1-1-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-12-12-1-1-1-1-12-12-100000000
χ23222222-1-1-1222-1-1-12-1-1-1-1-1-1222-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-2-21111-21-211111-21-2100000000
χ24222222-1-1-12-2-2-1-1-12-1-1-1-1-1-122-2-1-1-1-1-1-122111111-2-2111111-2-200−i3i3−i3i30i30−i3−i3i3−i3i30i30−i300000000
χ25222222-1-1-12-2-2-1-1-12-1-1-1-1-1-122-2-1-1-1-1-1-122111111-2-2111111-2-200i3−i3i3−i30−i30i3i3−i3i3−i30−i30i300000000
χ262222-2-22222-2-22222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-22222222200000000000000000000000000
χ272222-2-22-1-1-1222-1-1-122-1-1-1-1-1-1-2-2-211111122-1-1-1-1-1-1-2-21111112-222-1-1-1-1-1-1-2-211111100000000
χ282222-2-22-1-1-1222-1-1-122-1-1-1-1-1-1-2-2-211111122-1-1-1-1-1-1-2-2111111-22-2-211111122-1-1-1-1-1-100000000
χ292222-2-22-1-1-1-2-22-1-1-122-1-1-1-1-1-12-2-2111111-2-211111122-1-1-1-1-1-10000−i3−i3−i3i3i3i300i3i3i3−i3−i3−i300000000
χ302222-2-22-1-1-1-2-22-1-1-122-1-1-1-1-1-12-2-2111111-2-211111122-1-1-1-1-1-10000i3i3i3−i3−i3−i300−i3−i3−i3i3i3i300000000
χ312222-2-2-12-1-122-12-1-1-1-122-1-1-1-1-211-2-21111-1-122-1-1-1-111-2-211112-2-1-12-1-12-1-111-211-21100000000
χ322222-2-2-12-1-122-12-1-1-1-122-1-1-1-1-211-2-21111-1-122-1-1-1-111-2-21111-2211-211-211-1-12-1-12-1-100000000
χ332222-2-2-12-1-1-2-2-12-1-1-1-122-1-1-1-1211-2-2111111-2-21111-1-122-1-1-1-100−i3i30−i3i30−i3i3i3−i30i3−i30i3−i300000000
χ342222-2-2-12-1-1-2-2-12-1-1-1-122-1-1-1-1211-2-2111111-2-21111-1-122-1-1-1-100i3−i30i3−i30i3−i3−i3i30−i3i30−i3i300000000
χ352222-2-2-1-12-122-1-12-1-1-1-1-122-1-1-21111-2-211-1-1-1-122-1-11111-2-2112-2-1-1-12-1-1-12111-2111-200000000
χ362222-2-2-1-12-122-1-12-1-1-1-1-122-1-1-21111-2-211-1-1-1-122-1-11111-2-211-22111-2111-2-1-1-12-1-1-1200000000
χ372222-2-2-1-12-1-2-2-1-12-1-1-1-1-122-1-121111-2-2111111-2-211-1-1-1-122-1-100−i3i3i30−i3−i3i30i3−i3−i30i3i3−i3000000000
χ382222-2-2-1-12-1-2-2-1-12-1-1-1-1-122-1-121111-2-2111111-2-211-1-1-1-122-1-100i3−i3−i30i3i3−i30−i3i3i30−i3−i3i3000000000
χ392222-2-2-1-1-1222-1-1-12-1-1-1-1-1-122-2111111-2-2-1-1-1-1-1-122111111-2-22-2-1-1-1-12-12-11111-21-2100000000
χ402222-2-2-1-1-1222-1-1-12-1-1-1-1-1-122-2111111-2-2-1-1-1-1-1-122111111-2-2-221111-21-21-1-1-1-12-12-100000000
χ412222-2-2-1-1-12-2-2-1-1-12-1-1-1-1-1-1222111111-2-2111111-2-2-1-1-1-1-1-12200−i3i3−i3i30i30−i3i3−i3i3−i30−i30i300000000
χ422222-2-2-1-1-12-2-2-1-1-12-1-1-1-1-1-1222111111-2-2111111-2-2-1-1-1-1-1-12200i3−i3i3−i30−i30i3−i3i3−i3i30i30−i300000000
χ4322-2-20022222-2-2-2-2-22-22-22-22-20000000002-22-22-22-200000000000000000000000000002i−2i0000
χ4422-2-20022222-2-2-2-2-22-22-22-22-20000000002-22-22-22-20000000000000000000000000000−2i2i0000
χ4522-2-2002222-22-2-2-2-22-22-22-22-2000000000-22-22-22-22000000000000000000000000002i−2i000000
χ4622-2-2002222-22-2-2-2-22-22-22-22-2000000000-22-22-22-2200000000000000000000000000−2i2i000000
χ472-22-22-2222200-2-2-2-2-22-22-22-2202-22-22-22-200000000000000000000000000000000000000−i2i2−i2i2
χ482-22-22-2222200-2-2-2-2-22-22-22-2202-22-22-22-200000000000000000000000000000000000000i2−i2i2−i2
χ492-22-2-22222200-2-2-2-2-22-22-22-220-22-22-22-2200000000000000000000000000000000000000−i2i2i2−i2
χ502-22-2-22222200-2-2-2-2-22-22-22-220-22-22-22-2200000000000000000000000000000000000000i2−i2−i2i2
χ5144-4-4004-2-2-24-4-42224-4-22-22-220000000004-4-22-22-220000000000000000000000000000000000
χ5244-4-4004-2-2-2-44-42224-4-22-22-22000000000-442-22-22-20000000000000000000000000000000000
χ5344-4-400-24-2-24-42-422-224-4-22-22000000000-224-4-22-220000000000000000000000000000000000
χ5444-4-400-24-2-2-442-422-224-4-22-220000000002-2-442-22-20000000000000000000000000000000000
χ5544-4-400-2-24-24-422-42-22-224-4-22000000000-22-224-4-220000000000000000000000000000000000
χ5644-4-400-2-24-2-4422-42-22-224-4-220000000002-22-2-442-20000000000000000000000000000000000
χ5744-4-400-2-2-244-4222-4-22-22-224-4000000000-22-22-224-40000000000000000000000000000000000
χ5844-4-400-2-2-24-44222-4-22-22-224-40000000002-22-22-2-440000000000000000000000000000000000
χ594-44-44-44-2-2-200-4222-442-22-22-204-4-22-22-22000000000000000000000000000000000000000000
χ604-44-44-4-24-2-2002-4222-2-442-22-20-224-4-22-22000000000000000000000000000000000000000000
χ614-44-44-4-2-24-20022-422-22-2-442-20-22-224-4-22000000000000000000000000000000000000000000
χ624-44-44-4-2-2-2400222-42-22-22-2-440-22-22-224-4000000000000000000000000000000000000000000
χ634-44-4-444-2-2-200-4222-442-22-22-20-442-22-22-2000000000000000000000000000000000000000000
χ644-44-4-44-24-2-2002-4222-2-442-22-202-2-442-22-2000000000000000000000000000000000000000000
χ654-44-4-44-2-24-20022-422-22-2-442-202-22-2-442-2000000000000000000000000000000000000000000
χ664-44-4-44-2-2-2400222-42-22-22-2-4402-22-22-2-44000000000000000000000000000000000000000000
χ674-4-44004444004444-4-4-4-4-4-4-4-4000000000000000000000000000000000000000000000000000
χ684-4-44004-2-2-2004-2-2-2-4-4222222000000000000000000023−2323−2323−2300000000000000000000000000
χ694-4-44004-2-2-2004-2-2-2-4-42222220000000000000000000−2323−2323−232300000000000000000000000000
χ704-4-4400-24-2-200-24-2-222-4-422220000000000000000023−230023−23−232300000000000000000000000000
χ714-4-4400-24-2-200-24-2-222-4-4222200000000000000000−232300−232323−2300000000000000000000000000
χ724-4-4400-2-24-200-2-24-22222-4-4220000000000000000023−23−23230023−2300000000000000000000000000
χ734-4-4400-2-24-200-2-24-22222-4-42200000000000000000−232323−2300−232300000000000000000000000000
χ744-4-4400-2-2-2400-2-2-24222222-4-40000000000000000023−2323−23−23230000000000000000000000000000
χ754-4-4400-2-2-2400-2-2-24222222-4-400000000000000000−2323−232323−230000000000000000000000000000

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