Finite Group Databasebeta

← Group #11795058

Character table — Group #11795058

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1122222222222222244444444444444444444888888888888888888888824242424242424242424242424242424242424242424242472727272
order12222334444666612123666666661212121212121212121212668812122424242424242424242424242424242444448888121212121212121224242424242424244488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1
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
χ5111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111
χ6111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1
χ7111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1
χ8111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111
χ92222222-2-2-2-22222-2-2222222222-2-2-2-2-2-2-2-2-2-2-2222i−2i-2-22i2i−2i−2i2i2i2i2i2i2i−2i−2i−2i−2i−2i−2i0000000000000000000000000000
χ102222222-2-2-2-22222-2-2222222222-2-2-2-2-2-2-2-2-2-2-222−2i2i-2-2−2i−2i2i2i−2i−2i−2i−2i−2i−2i2i2i2i2i2i2i0000000000000000000000000000
χ11222222-1222222-12-1-1-122-1-1-1-1-1-1-1-122-1-12-1-1-12-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-1002200220000-1-1-1-10000-1-1-1-10000
χ12222222-1222222-12-1-1-122-1-1-1-1-1-1-1-122-1-12-1-1-12-1-122-1-1-1-1-1-122-1-1-1-122-1-1-1-100-2-200-2-200001111000011110000
χ13222222-1222222-12-1-1-122-1-1-1-1-1-1-1-122-1-12-1-1-12-1-1-2-2-1-11111-2-21111-2-21111002200-2-20000-1-1-1-1000011110000
χ14222222-1222222-12-1-1-122-1-1-1-1-1-1-1-122-1-12-1-1-12-1-1-2-2-1-11111-2-21111-2-2111100-2-20022000011110000-1-1-1-10000
χ15222222-1-2-2-2-222-1211-122-1-1-1-1-1-111-2-211-2111-2-1-12i−2i11−i−iii2i2i−i−i−i−i−2i−2iiiii000000000000−i3−i3i3i3000033−3−30000
χ16222222-1-2-2-2-222-1211-122-1-1-1-1-1-111-2-211-2111-2-1-12i−2i11−i−iii2i2i−i−i−i−i−2i−2iiiii000000000000i3i3−i3−i30000−3−3330000
χ17222222-1-2-2-2-222-1211-122-1-1-1-1-1-111-2-211-2111-2-1-1−2i2i11ii−i−i−2i−2iiiii2i2i−i−i−i−i000000000000−i3−i3i3i30000−3−3330000
χ18222222-1-2-2-2-222-1211-122-1-1-1-1-1-111-2-211-2111-2-1-1−2i2i11ii−i−i−2i−2iiiii2i2i−i−i−i−i000000000000i3i3−i3−i3000033−3−30000
χ1922222-122222-1-12-122-1-1-122-1-1-1222-1-1-1-1-1-1-12-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-122002200-1-1-1-10000-1-1-1-100000000
χ2022222-122222-1-12-122-1-1-122-1-1-1222-1-1-1-1-1-1-12-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-20011110000111100000000
χ2122222-122222-1-12-122-1-1-122-1-1-1222-1-1-1-1-1-1-12-1-1-1-2-2-1-1-2-2-2-21111111111112200-2-200-1-1-1-10000111100000000
χ2222222-122222-1-12-122-1-1-122-1-1-1222-1-1-1-1-1-1-12-1-1-1-2-2-1-1-2-2-2-2111111111111-2-200220011110000-1-1-1-100000000
χ2322222-12-2-2-2-2-1-12-1-2-2-1-1-122-1-1-12-2-21111111-21-1-12i−2i112i2i−2i−2i−i−i−i−i−i−iiiiiii00000000−i3−i3i3i3000033−3−300000000
χ2422222-12-2-2-2-2-1-12-1-2-2-1-1-122-1-1-12-2-21111111-21-1-12i−2i112i2i−2i−2i−i−i−i−i−i−iiiiiii00000000i3i3−i3−i30000−3−33300000000
χ2522222-12-2-2-2-2-1-12-1-2-2-1-1-122-1-1-12-2-21111111-21-1-1−2i2i11−2i−2i2i2iiiiiii−i−i−i−i−i−i00000000−i3−i3i3i30000−3−33300000000
χ2622222-12-2-2-2-2-1-12-1-2-2-1-1-122-1-1-12-2-21111111-21-1-1−2i2i11−2i−2i2i2iiiiiii−i−i−i−i−i−i00000000i3i3−i3−i3000033−3−300000000
χ27222-2-2222-22-22222-2-22-2-22-2222-22-22-2-2-2-2-2-222-2-200220000000000000000002i−2i000000002i−2i2i−2i000000000000
χ28222-2-2222-22-22222-2-22-2-22-2222-22-22-2-2-2-2-2-222-2-20022000000000000000000−2i2i00000000−2i2i−2i2i000000000000
χ29222-2-222-22-222222222-2-22-2222-2-22-2222222-2-2-2-200-2-200000000000000000000002i−2i0000000000002i−2i2i−2i0000
χ30222-2-222-22-222222222-2-22-2222-2-22-2222222-2-2-2-200-2-20000000000000000000000−2i2i000000000000−2i2i−2i2i0000
χ31222-2-22-12-22-222-1211-1-2-2-11-1-1-11-112-211-211-121100-1-13−33−30033−3−30033−3−3002i−2i00000000−ii−ii0000−i3i3i3−i30000
χ32222-2-22-12-22-222-1211-1-2-2-11-1-1-11-112-211-211-121100-1-13−33−30033−3−30033−3−300−2i2i00000000i−ii−i0000i3−i3−i3i30000
χ33222-2-22-12-22-222-1211-1-2-2-11-1-1-11-112-211-211-121100-1-1−33−3300−3−33300−3−333002i−2i00000000−ii−ii0000i3−i3−i3i30000
χ34222-2-22-12-22-222-1211-1-2-2-11-1-1-11-112-211-211-121100-1-1−33−3300−3−33300−3−33300−2i2i00000000i−ii−i0000−i3i3i3−i30000
χ35222-2-22-1-22-2222-12-1-1-1-2-2-11-1-1-111-1-22-1-12-1-11-2110011−i3i3i3−i300−i3−i3i3i300i3i3−i3−i30000002i−2i0000−333−30000−ii−ii0000
χ36222-2-22-1-22-2222-12-1-1-1-2-2-11-1-1-111-1-22-1-12-1-11-2110011−i3i3i3−i300−i3−i3i3i300i3i3−i3−i3000000−2i2i00003−3−330000i−ii−i0000
χ37222-2-22-1-22-2222-12-1-1-1-2-2-11-1-1-111-1-22-1-12-1-11-2110011i3−i3−i3i300i3i3−i3−i300−i3−i3i3i30000002i−2i00003−3−330000−ii−ii0000
χ38222-2-22-1-22-2222-12-1-1-1-2-2-11-1-1-111-1-22-1-12-1-11-2110011i3−i3−i3i300i3i3−i3−i300−i3−i3i3i3000000−2i2i0000−333−30000i−ii−i0000
χ3922-22-22222-2-2-2-2222222-2-2-2-2-2222-22-2-2-2222-2-22-2002-200000000000000000000000000000000000000002i−2i00
χ4022-22-22222-2-2-2-2222222-2-2-2-2-2222-22-2-2-2222-2-22-2002-20000000000000000000000000000000000000000−2i2i00
χ4122-22-222-2-222-2-222-2-222-2-2-2-2-222-22-2222-2-2-2222-200-220000000000000000000000000000000000000000002-2
χ4222-22-222-2-222-2-222-2-222-2-2-2-2-222-22-2222-2-2-2222-200-22000000000000000000000000000000000000000000-22
χ4322-2-22222-2-22-2-222-2-22-22-22-2-22-2222222-2-2-2-2-2-22002-2000000000000000000002i−2i00000000002i−2i2i−2i00000000
χ4422-2-22222-2-22-2-222-2-22-22-22-2-22-2222222-2-2-2-2-2-22002-200000000000000000000−2i2i0000000000−2i2i−2i2i00000000
χ4522-2-2222-222-2-2-222222-22-22-2-22-2-2-2-2-2-2-222222-2200-2200000000000000002-20000002-22-20000000000000000
χ4622-2-2222-222-2-2-222222-22-22-2-22-2-2-2-2-2-2-222222-2200-220000000000000000-22000000-22-220000000000000000
χ4722-2-22-122-2-22112-1-2-2-11-1-2211-1-222-1-1-1-1111-211-100-1100003−33−33−33−33−33−300002i−2i00−i3i3i3−i30000−ii−ii00000000
χ4822-2-22-122-2-22112-1-2-2-11-1-2211-1-222-1-1-1-1111-211-100-1100003−33−33−33−33−33−30000−2i2i00i3−i3−i3i30000i−ii−i00000000
χ4922-2-22-122-2-22112-1-2-2-11-1-2211-1-222-1-1-1-1111-211-100-110000−33−33−33−33−33−3300002i−2i00i3−i3−i3i30000−ii−ii00000000
χ5022-2-22-122-2-22112-1-2-2-11-1-2211-1-222-1-1-1-1111-211-100-110000−33−33−33−33−33−330000−2i2i00−i3i3i3−i30000i−ii−i00000000
χ5122-2-22-12-222-2112-122-11-1-2211-1-2-2-21111-1-1-12-11-1001-10000−i3i3−i3i3−i3i3i3−i3i3−i3i3−i32-2000000-11-110000−i3i3i3−i300000000
χ5222-2-22-12-222-2112-122-11-1-2211-1-2-2-21111-1-1-12-11-1001-10000−i3i3−i3i3−i3i3i3−i3i3−i3i3−i3-220000001-11-10000i3−i3−i3i300000000
χ5322-2-22-12-222-2112-122-11-1-2211-1-2-2-21111-1-1-12-11-1001-10000i3−i3i3−i3i3−i3−i3i3−i3i3−i3i32-2000000-11-110000i3−i3−i3i300000000
χ5422-2-22-12-222-2112-122-11-1-2211-1-2-2-21111-1-1-12-11-1001-10000i3−i3i3−i3i3−i3−i3i3−i3i3−i3i3-220000001-11-10000−i3i3i3−i300000000
χ5544444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-211-211-2-2114411-2-2-2-2-2-21111-2-211110000000000000000000000000000
χ5644444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-211-211-2-211-4-411222222-1-1-1-122-1-1-1-10000000000000000000000000000
χ5744444-2-2-4-4-4-4-2-2-2-2221-2-2-2-2111-22222-1-12-1-122114i−4i-1-1−2i−2i2i2i−2i−2iiiii2i2i−i−i−i−i0000000000000000000000000000
χ5844444-2-2-4-4-4-4-2-2-2-2221-2-2-2-2111-22222-1-12-1-12211−4i4i-1-12i2i−2i−2i2i2i−i−i−i−i−2i−2iiiii0000000000000000000000000000
χ59444-4-4-244-44-4-2-24-2-4-4-2224-4-2-2-2-44-4-22222224-22200-2-200000000000000000000000000000000000000000000
χ60444-4-4-24-44-44-2-24-244-2224-4-2-2-2-4-442-2-2-2-2-2-2-4222002200000000000000000000000000000000000000000000
χ61444-4-4-2-24-44-4-2-2-2-222122-221112-22-22-1-12-1-1-2-2-1-1001123−2323−2300−3−33300−3−3330000000000000000000000000000
χ62444-4-4-2-24-44-4-2-2-2-222122-221112-22-22-1-12-1-1-2-2-1-10011−2323−23230033−3−30033−3−30000000000000000000000000000
χ63444-4-4-2-2-44-44-2-2-2-2-2-2122-2211122-22-211-21122-1-100-1-1−2i32i32i3−2i300i3i3−i3−i300−i3−i3i3i30000000000000000000000000000
χ64444-4-4-2-2-44-44-2-2-2-2-2-2122-2211122-22-211-21122-1-100-1-12i3−2i3−2i32i300−i3−i3i3i300i3i3−i3−i30000000000000000000000000000
χ6544-44-44-244-4-4-4-4-24-2-2-24-42222-2-2-224-4224-2-22-4-2200-2200000000000000000000000000000000000000000000
χ6644-44-44-2-4-444-4-4-2422-24-42222-2-22-2-44-2-2-422-24-22002-200000000000000000000000000000000000000000000
χ6744-44-4-2444-4-4224-244-2-22-4-422-244-4-2222-2-2-2-42-2200-2200000000000000000000000000000000000000000000
χ6844-44-4-24-4-444224-2-4-4-2-22-4-422-24-442-2-2-22224-2-22002-200000000000000000000000000000000000000000000
χ6944-44-4-2-244-4-422-2-2-2-21-2222-1-11-2-22-22-1-1-211221-1001-10000003-3-33003-3-330000000000000000000000000000
χ7044-44-4-2-244-4-422-2-2-2-21-2222-1-11-2-22-22-1-1-211221-1001-1000000-333-300-333-30000000000000000000000000000
χ7144-44-4-2-2-4-44422-2-2221-2222-1-11-22-22-2112-1-1-2-21-100-110000003i−3i−3i3i00−3i3i3i−3i0000000000000000000000000000
χ7244-44-4-2-2-4-44422-2-2221-2222-1-11-22-22-2112-1-1-2-21-100-11000000−3i3i3i−3i003i−3i−3i3i0000000000000000000000000000
χ7344-4-444-24-4-44-4-4-2422-2-442-222-22-2-244-2-2-4222-42-200-2200000000000000000000000000000000000000000000
χ7444-4-444-2-444-4-4-4-24-2-2-2-442-222-2222-4-4224-2-2-242-2002-200000000000000000000000000000000000000000000
χ7544-4-44-2-24-4-4422-2-22212-22-2-1-112-2-2-2-2112-1-122-11001-1000023−23−33−3323−23−33−330000000000000000000000000000
χ7644-4-44-2-24-4-4422-2-22212-22-2-1-112-2-2-2-2112-1-122-11001-10000−23233−33−3−23233−33−30000000000000000000000000000
χ7744-4-44-2-2-444-422-2-2-2-212-22-2-1-1122222-1-1-211-2-2-1100-110000−2i32i3i3−i3i3−i32i3−2i3−i3i3−i3i30000000000000000000000000000
χ7844-4-44-2-2-444-422-2-2-2-212-22-2-1-1122222-1-1-211-2-2-1100-1100002i3−2i3−i3i3−i3i3−2i32i3i3−i3i3−i30000000000000000000000000000
χ798-800088000000-8-8008000000-800000000000000000000000000000000000000000000000000000000000000
χ808-80008-40000004-843−43-400000040000000043−430000000000000000000000000000000000000000000000000000
χ818-80008-40000004-8−4343-4000000400000000−43430000000000000000000000000000000000000000000000000000
χ828-8000-480000−4i34i3-8400-40000−4i34i3400000000000000000000000000000000000000000000000000000000000000
χ838-8000-4800004i3−4i3-8400-400004i3−4i3400000000000000000000000000000000000000000000000000000000000000
χ848-8000-4-40000−4i34i34443−43200002i3−2i3-2000006i−6i0−23230000000000000000000000000000000000000000000000000000
χ858-8000-4-40000−4i34i344−4343200002i3−2i3-200000−6i6i023−230000000000000000000000000000000000000000000000000000
χ868-8000-4-400004i3−4i34443−4320000−2i32i3-200000−6i6i0−23230000000000000000000000000000000000000000000000000000
χ878-8000-4-400004i3−4i344−434320000−2i32i3-2000006i−6i023−230000000000000000000000000000000000000000000000000000

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