Finite Group Databasebeta

← Group #11792379

Character table — Group #11792379

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1122222222222222244444444444444444444888888888888888888888824242424242424242424242424242424242424242424242472727272
order1222233444466121212123666666666121212121212121212124466121212121212121212121212121212121212244466888812121212121224242424242424242444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-1-111-1-1
χ61111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-1-111
χ81111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-1111111-1-1
χ92222222-2-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-22-222-2-222222222-2-2-2-2-2-2-2-20000000000000000000000000000
χ102222222-2-2-2-222-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2-2222-2-2-2-2-2-2-2-2-2-2222222220000000000000000000000000000
χ11222222-122222-1-1-122-122-12-1-1-1-1-122-1-1-1-1-1-1-1222-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-12222-1-10000-1-1-1-1-1-1000000000000
χ12222222-122222-1-1-122-122-12-1-1-1-1-122-1-1-1-1-1-1-1222-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-2110000111111000000000000
χ13222222-122222-1-1-122-122-12-1-1-1-1-122-1-1-1-1-1-1-12-2-2-1-1-1-1-2-2111111-2-211111122-2-2-1-10000-1-11111000000000000
χ14222222-122222-1-1-122-122-12-1-1-1-1-122-1-1-1-1-1-1-12-2-2-1-1-1-1-2-2111111-2-2111111-2-22211000011-1-1-1-1000000000000
χ15222222-1-2-2-2-22-111-2-2-122-12-1-1-1-1-1-2-21111111-22-2-1-11122-1-1-1-1-1-1-2-21111110000−i3i30000−i3i3−i3−i3i3i3000000000000
χ16222222-1-2-2-2-22-111-2-2-122-12-1-1-1-1-1-2-21111111-22-2-1-11122-1-1-1-1-1-1-2-21111110000i3−i30000i3−i3i3i3−i3−i3000000000000
χ17222222-1-2-2-2-22-111-2-2-122-12-1-1-1-1-1-2-21111111-2-22-1-111-2-211111122-1-1-1-1-1-10000−i3i30000−i3i3i3i3−i3−i3000000000000
χ18222222-1-2-2-2-22-111-2-2-122-12-1-1-1-1-1-2-21111111-2-22-1-111-2-211111122-1-1-1-1-1-10000i3−i30000i3−i3−i3−i3i3i3000000000000
χ1922222-122222-1222-1-1-1-1-12-12-1-1-12-1-1222-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10000002222000000-1-1-1-1-1-1-1-10000
χ2022222-122222-1222-1-1-1-1-12-12-1-1-12-1-1222-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1-1-122-1-1-1-1000000-2-2-2-2000000111111110000
χ2122222-122222-1222-1-1-1-1-12-12-1-1-12-1-1222-1-1-1-1-1-2-2-1-1-1-111-2-2111111-2-2111100000022-2-2000000-1-1-1-111110000
χ2222222-122222-1222-1-1-1-1-12-12-1-1-12-1-1222-1-1-1-1-1-2-2-1-1-1-111-2-2111111-2-21111000000-2-2220000001111-1-1-1-10000
χ2322222-12-2-2-2-2-12-2-211-1-1-12-12-1-1-1211-2-2-2111112-2-1-111-1-122-1-1-1-111-2-21111000000000000000033−3−333−3−30000
χ2422222-12-2-2-2-2-12-2-211-1-1-12-12-1-1-1211-2-2-2111112-2-1-111-1-122-1-1-1-111-2-211110000000000000000−3−333−3−3330000
χ2522222-12-2-2-2-2-12-2-211-1-1-12-12-1-1-1211-2-2-211111-22-1-11111-2-21111-1-122-1-1-1-1000000000000000033−3−3−3−3330000
χ2622222-12-2-2-2-2-12-2-211-1-1-12-12-1-1-1211-2-2-211111-22-1-11111-2-21111-1-122-1-1-1-10000000000000000−3−33333−3−30000
χ27222-2-22222-2-22222-2-222-22-2-22-2-2-2222-2-222-2-2-2002-22-20000000000000000002i−2i000000002i−2i2i−2i000000000000
χ28222-2-22222-2-22222-2-222-22-2-22-2-2-2222-2-222-2-2-2002-22-2000000000000000000−2i2i00000000−2i2i−2i2i000000000000
χ29222-2-222-2-22222-2-22222-22-2-22-2-2-2-2-2-222-2-2222002-2-2200000000000000002-200220000-2-20000000000000000
χ30222-2-222-2-22222-2-22222-22-2-22-2-2-2-2-2-222-2-2222002-2-220000000000000000-2200-2-20000220000000000000000
χ31222-2-22-122-2-22-1-1-1-2-2-12-2-1-21-111122-111-1-111-200-11-11003−333−3−3003−333−3−3002i−2i−i3i30000i3−i3−ii−ii000000000000
χ32222-2-22-122-2-22-1-1-1-2-2-12-2-1-21-111122-111-1-111-200-11-11003−333−3−3003−333−3−300−2i2ii3−i30000−i3i3i−ii−i000000000000
χ33222-2-22-122-2-22-1-1-1-2-2-12-2-1-21-111122-111-1-111-200-11-1100−33−3−33300−33−3−333002i−2ii3−i30000−i3i3−ii−ii000000000000
χ34222-2-22-122-2-22-1-1-1-2-2-12-2-1-21-111122-111-1-111-200-11-1100−33−3−33300−33−3−33300−2i2i−i3i30000i3−i3i−ii−i000000000000
χ35222-2-22-1-2-2222-11122-12-2-1-21-1111-2-21-1-111-1-1200-111-1003−333−3−300−33−3−3332-200-1-10000113−3−33000000000000
χ36222-2-22-1-2-2222-11122-12-2-1-21-1111-2-21-1-111-1-1200-111-1003−333−3−300−33−3−333-2200110000-1-1−333−3000000000000
χ37222-2-22-1-2-2222-11122-12-2-1-21-1111-2-21-1-111-1-1200-111-100−33−3−333003−333−3−32-200-1-1000011−333−3000000000000
χ38222-2-22-1-2-2222-11122-12-2-1-21-1111-2-21-1-111-1-1200-111-100−33−3−333003−333−3−3-2200110000-1-13−3−33000000000000
χ3922-22-2222-22-22222222-2-2-222222-22-2-22-22222-200-2-2-2-200000000000000000000000000000000000000002-200
χ4022-22-2222-22-22222222-2-2-222222-22-2-22-22222-200-2-2-2-20000000000000000000000000000000000000000-2200
χ4122-22-222-22-2222-2-2-2-22-2-2-222222-2-222-22-2-2-2-2200-2-2220000000000000000000000000000000000000000002-2
χ4222-22-222-22-2222-2-2-2-22-2-2-222222-2-222-22-2-2-2-2200-2-222000000000000000000000000000000000000000000-22
χ4322-2-22222-2-222222-2-22-22-2-2-22-2-222-2-2-2222-2-2200-22-220000000000000000000000002-200000000002-22-20000
χ4422-2-22222-2-222222-2-22-22-2-2-22-2-222-2-2-2222-2-2200-22-22000000000000000000000000-220000000000-22-220000
χ4522-2-2222-222-222-2-2222-22-2-2-22-2-22-2222-2-2-222-200-222-200000000000000000000002-2000000002-22-200000000
χ4622-2-2222-222-222-2-2222-22-2-2-22-2-22-2222-2-2-222-200-222-20000000000000000000000-2200000000-22-2200000000
χ4722-2-22-122-2-22-122211-11-1-21-2-1112-11-2-22-1-111-1001-11-13−3003−33−33−3003−33−3000000002-20000003−3−33-11-110000
χ4822-2-22-122-2-22-122211-11-1-21-2-1112-11-2-22-1-111-1001-11-13−3003−33−33−3003−33−300000000-22000000−333−31-11-10000
χ4922-2-22-122-2-22-122211-11-1-21-2-1112-11-2-22-1-111-1001-11-1−3300−33−33−3300−33−33000000002-2000000−333−3-11-110000
χ5022-2-22-122-2-22-122211-11-1-21-2-1112-11-2-22-1-111-1001-11-1−3300−33−33−3300−33−3300000000-220000003−3−331-11-10000
χ5122-2-22-12-222-2-12-2-2-1-1-11-1-21-2-11121-122-211-1-11001-1-113−3003−33−3−3300−33−330000002-200000000-11-11−333−30000
χ5222-2-22-12-222-2-12-2-2-1-1-11-1-21-2-11121-122-211-1-11001-1-113−3003−33−3−3300−33−33000000-22000000001-11-13−3−330000
χ5322-2-22-12-222-2-12-2-2-1-1-11-1-21-2-11121-122-211-1-11001-1-11−3300−33−333−3003−33−30000002-200000000-11-113−3−330000
χ5422-2-22-12-222-2-12-2-2-1-1-11-1-21-2-11121-122-211-1-11001-1-11−3300−33−333−3003−33−3000000-22000000001-11-1−333−30000
χ5544444-2-24444-2-2-2-2-2-21-2-2-2-2-2111-2-2-2-2-2-21111-2441111-2-2-2-21111-2-2-2-211110000000000000000000000000000
χ5644444-2-24444-2-2-2-2-2-21-2-2-2-2-2111-2-2-2-2-2-21111-2-4-411112222-1-1-1-12222-1-1-1-10000000000000000000000000000
χ5744444-2-2-4-4-4-4-2-222221-2-2-2-2-2111-222222-1-1-1-124-411-1-1-2-2-2-211112222-1-1-1-10000000000000000000000000000
χ5844444-2-2-4-4-4-4-2-222221-2-2-2-2-2111-222222-1-1-1-12-4411-1-12222-1-1-1-1-2-2-2-211110000000000000000000000000000
χ59444-4-4-2444-4-4-244422-2-2242-4-222-4-2-24-4-4-2-222200-22-2200000000000000000000000000000000000000000000
χ60444-4-4-24-4-444-24-4-4-2-2-2-2242-4-222-422-44422-2-2-200-222-200000000000000000000000000000000000000000000
χ61444-4-4-2-244-4-4-2-2-2-2221-22-2221-1-12-2-2-22211-1-12001-11-10023−23−3−3330023−23−3−3330000000000000000000000000000
χ62444-4-4-2-244-4-4-2-2-2-2221-22-2221-1-12-2-2-22211-1-12001-11-100−232333−3−300−232333−3−30000000000000000000000000000
χ63444-4-4-2-2-4-444-2-222-2-21-22-2221-1-12222-2-2-1-111-2001-1-110023−23−3−33300−232333−3−30000000000000000000000000000
χ64444-4-4-2-2-4-444-2-222-2-21-22-2221-1-12222-2-2-1-111-2001-1-1100−232333−3−30023−23−3−3330000000000000000000000000000
χ6544-44-44-24-44-44-2-2-244-2-4-424-2-2-2-224-42-22-2-2-2-2-400222200000000000000000000000000000000000000000000
χ6644-44-44-2-44-444-222-4-4-2-4-424-2-2-2-22-44-22-2222240022-2-200000000000000000000000000000000000000000000
χ6744-44-4-244-44-4-2444-2-2-222-4-24-2-2-2-4-22-44-4-2-2-2-2200222200000000000000000000000000000000000000000000
χ6844-44-4-24-44-44-24-4-422-222-4-24-2-2-2-42-24-442222-20022-2-200000000000000000000000000000000000000000000
χ6944-44-4-2-24-44-4-2-2-2-2-2-21222-2-21112-222-221111200-1-1-1-100003-3-3300003-3-330000000000000000000000000000
χ7044-44-4-2-24-44-4-2-2-2-2-2-21222-2-21112-222-221111200-1-1-1-10000-333-30000-333-30000000000000000000000000000
χ7144-44-4-2-2-44-44-2-222221222-2-211122-2-22-2-1-1-1-1-200-1-11100003-3-330000-333-30000000000000000000000000000
χ7244-44-4-2-2-44-44-2-222221222-2-211122-2-22-2-1-1-1-1-200-1-1110000-333-300003-3-330000000000000000000000000000
χ7344-4-444-24-4-444-2-2-2-4-4-2-442-42-222-24-422-2-2-2224002-22-200000000000000000000000000000000000000000000
χ7444-4-444-2-444-44-22244-2-442-42-222-2-44-2-2222-2-2-4002-2-2200000000000000000000000000000000000000000000
χ7544-4-44-2-24-4-44-2-2-2-22212-22221-1-1-2-2222-211-1-1-200-11-1123−2300−33−3323−2300−33−330000000000000000000000000000
χ7644-4-44-2-24-4-44-2-2-2-22212-22221-1-1-2-2222-211-1-1-200-11-11−2323003−33−3−2323003−33−30000000000000000000000000000
χ7744-4-44-2-2-444-4-2-222-2-212-22221-1-1-22-2-2-22-1-111200-111-123−2300−33−33−2323003−33−30000000000000000000000000000
χ7844-4-44-2-2-444-4-2-222-2-212-22221-1-1-22-2-2-22-1-111200-111-1−2323003−33−323−2300−33−330000000000000000000000000000
χ798-8000880000-8-80000800000-8000000000000000000000000000000000000000000000000000000000000000
χ808-80008-40000-8443−4300-40000040000000043−4300000000000000000000000000000000000000000000000000000
χ818-80008-40000-84−434300-400000400000000−434300000000000000000000000000000000000000000000000000000
χ828-8000-4800004-80043−43-4000004000000000043−43000000000000000000000000000000000000000000000000000
χ838-8000-4800004-800−4343-40000040000000000−4343000000000000000000000000000000000000000000000000000
χ848-8000-4-400004443−4343−43200000-26-6000000−2323−2323000000000000000000000000000000000000000000000000000
χ858-8000-4-400004443−43−4343200000-2-66000000−232323−23000000000000000000000000000000000000000000000000000
χ868-8000-4-4000044−434343−43200000-2-6600000023−23−2323000000000000000000000000000000000000000000000000000
χ878-8000-4-4000044−4343−4343200000-26-600000023−2323−23000000000000000000000000000000000000000000000000000

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