Finite Group Databasebeta

← Group #11792380

Character table — Group #11792380

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1122222222222222244444444444444444444888888888888888888888824242424242424242424242424242424242424242424242472727272
order1222233444466661212366666666121212121212121212121244661212121212121212121212121212121212122244444466661212121212121212121212128888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1111-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-11-1-1-1111-1-11111-1-1-1-1-1-11111-1-1-1-1
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
χ51111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-1-11-1-111111111-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-11111-1-1-1-111-1-1-1-11111-1-111
χ71111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-11111-1-11111-1-1-1-1-1-111
χ81111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-1-1-1-1-11111111111-1-1
χ92222222-2-2-2-22222-2-2222222222-2-2-2-2-2-2-2-2-2-2-22-22222-2-2-2-2222222-2-2-2-2-2-20000000000000000000000000000
χ102222222-2-2-2-22222-2-2222222222-2-2-2-2-2-2-2-2-2-2-2-2222-2-222-2-2-2-2-2-2-2-22222220000000000000000000000000000
χ11222222-1222222-12-1-1-122-1-1-1-1-1-1-1-1-12222-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-10200022200-1-1-1-1000000-1-1-1-10000
χ12222222-1222222-12-1-1-122-1-1-1-1-1-1-1-1-12222-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-10-2000-2-2-200111100000011110000
χ13222222-1222222-12-1-1-122-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-1-1-2-2-2-2-1-1111111111111020002-2-200-1-1-1-100000011110000
χ14222222-1222222-12-1-1-122-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-2-1-1-2-2-2-2-1-11111111111110-2000-222001111000000-1-1-1-10000
χ15222222-1-2-2-2-222-1211-122-1-1-1-1-1-1111-2-2-2-211112-2-1-122-2-211-1-1-1-1-1-11111110000000000−i3i3−i3i3000000−i3−i3i3i30000
χ16222222-1-2-2-2-222-1211-122-1-1-1-1-1-1111-2-2-2-211112-2-1-122-2-211-1-1-1-1-1-11111110000000000i3−i3i3−i3000000i3i3−i3−i30000
χ17222222-1-2-2-2-222-1211-122-1-1-1-1-1-1111-2-2-2-21111-22-1-1-2-22211111111-1-1-1-1-1-10000000000−i3i3−i3i3000000i3i3−i3−i30000
χ18222222-1-2-2-2-222-1211-122-1-1-1-1-1-1111-2-2-2-21111-22-1-1-2-22211111111-1-1-1-1-1-10000000000i3−i3i3−i3000000−i3−i3i3i30000
χ1922222-122222-1-12-122-1-1-122-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-120222000-1-10000-1-1-1-1-1-100000000
χ2022222-122222-1-12-122-1-1-122-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-20-2-2-200011000011111100000000
χ2122222-122222-1-12-122-1-1-122-1-1-12222-1-1-1-1-1-1-1-1-2-2-1-11111-1-1-2-21111-2-21111202-2-2000-1-10000-1-1111100000000
χ2222222-122222-1-12-122-1-1-122-1-1-12222-1-1-1-1-1-1-1-1-2-2-1-11111-1-1-2-21111-2-21111-20-22200011000011-1-1-1-100000000
χ2322222-12-2-2-2-2-1-12-1-2-2-1-1-122-1-1-12-2-2-2111111112-2-1-1-1-1111122-1-1-1-1-2-2111100000000−i3i30000−i3i3−i3−i3i3i300000000
χ2422222-12-2-2-2-2-1-12-1-2-2-1-1-122-1-1-12-2-2-2111111112-2-1-1-1-1111122-1-1-1-1-2-2111100000000i3−i30000i3−i3i3i3−i3−i300000000
χ2522222-12-2-2-2-2-1-12-1-2-2-1-1-122-1-1-12-2-2-211111111-22-1-111-1-111-2-2111122-1-1-1-100000000−i3i30000−i3i3i3i3−i3−i300000000
χ2622222-12-2-2-2-2-1-12-1-2-2-1-1-122-1-1-12-2-2-211111111-22-1-111-1-111-2-2111122-1-1-1-100000000i3−i30000i3−i3−i3−i3i3i300000000
χ27222-2-22222-2-2-2-2222222-22-22-2-2-22-2-222-2-222-2-2002-200002-20000000000000000002i−2i0000000000002i−2i2i−2i0000
χ28222-2-22222-2-2-2-2222222-22-22-2-2-22-2-222-2-222-2-2002-200002-2000000000000000000−2i2i000000000000−2i2i−2i2i0000
χ29222-2-222-2-222-2-222-2-222-22-22-2-2-2-222-2-222-2-222002-20000-2200000000000002000-2000022-2-200000000000000
χ30222-2-222-2-222-2-222-2-222-22-22-2-2-2-222-2-222-2-222002-20000-220000000000000-200020000-2-22200000000000000
χ31222-2-22-122-2-2-2-2-12-1-1-12-2-11-1111-11122-2-2-1-11100-110000-113−333−3−33−333−3−30000002i−2i00−i3i3i3−i3000000−ii−ii0000
χ32222-2-22-122-2-2-2-2-12-1-1-12-2-11-1111-11122-2-2-1-11100-110000-113−333−3−33−333−3−3000000−2i2i00i3−i3−i3i3000000i−ii−i0000
χ33222-2-22-122-2-2-2-2-12-1-1-12-2-11-1111-11122-2-2-1-11100-110000-11−33−3−333−33−3−3330000002i−2i00i3−i3−i3i3000000−ii−ii0000
χ34222-2-22-122-2-2-2-2-12-1-1-12-2-11-1111-11122-2-2-1-11100-110000-11−33−3−333−33−3−333000000−2i2i00−i3i3i3−i3000000i−ii−i0000
χ35222-2-22-1-2-222-2-2-1211-12-2-11-11111-1-1-2-22211-1-100-1100001-13−333−3−3−33−3−33302000-20000-1-1110000003−3−330000
χ36222-2-22-1-2-222-2-2-1211-12-2-11-11111-1-1-2-22211-1-100-1100001-13−333−3−3−33−3−3330-20002000011-1-1000000−333−30000
χ37222-2-22-1-2-222-2-2-1211-12-2-11-11111-1-1-2-22211-1-100-1100001-1−33−3−3333−333−3−302000-20000-1-111000000−333−30000
χ38222-2-22-1-2-222-2-2-1211-12-2-11-11111-1-1-2-22211-1-100-1100001-1−33−3−3333−333−3−30-20002000011-1-10000003−3−330000
χ3922-22-2222-22-22222222-2-2-22222-2-22-22-22-2222200-2-20000-2-200000000000020-200000220000-2-2000000000000
χ4022-22-2222-22-22222222-2-2-22222-2-22-22-22-2222200-2-20000-2-2000000000000-20200000-2-2000022000000000000
χ4122-22-222-22-222222-2-22-2-2-22222-22-22-22-22-2-2-2-200-2-20000220000000000000002-2000000000002-22-200000000
χ4222-22-222-22-222222-2-22-2-2-22222-22-22-22-22-2-2-2-200-2-2000022000000000000000-2200000000000-22-2200000000
χ4322-22-2-122-22-2-1-12-122-111-22-1-1-1-2-22-2-11-11-1-1-1-10011−i3i3−i3i31100−i3i3−i3i300−i3i3−i3i320-200000-1-1000011−i3i3i3−i300000000
χ4422-22-2-122-22-2-1-12-122-111-22-1-1-1-2-22-2-11-11-1-1-1-10011−i3i3−i3i31100−i3i3−i3i300−i3i3−i3i3-20200000110000-1-1i3−i3−i3i300000000
χ4522-22-2-122-22-2-1-12-122-111-22-1-1-1-2-22-2-11-11-1-1-1-10011i3−i3i3−i31100i3−i3i3−i300i3−i3i3−i320-200000-1-1000011i3−i3−i3i300000000
χ4622-22-2-122-22-2-1-12-122-111-22-1-1-1-2-22-2-11-11-1-1-1-10011i3−i3i3−i31100i3−i3i3−i300i3−i3i3−i3-20200000110000-1-1−i3i3i3−i300000000
χ4722-22-2-12-22-22-1-12-1-2-2-111-22-1-1-1-22-221-11-111110011−i3i3i3−i3-1-100−i3i3−i3i300i3−i3i3−i30002-2000−i3i30000i3−i3-11-1100000000
χ4822-22-2-12-22-22-1-12-1-2-2-111-22-1-1-1-22-221-11-111110011−i3i3i3−i3-1-100−i3i3−i3i300i3−i3i3−i3000-22000i3−i30000−i3i31-11-100000000
χ4922-22-2-12-22-22-1-12-1-2-2-111-22-1-1-1-22-221-11-111110011i3−i3−i3i3-1-100i3−i3i3−i300−i3i3−i3i30002-2000i3−i30000−i3i3-11-1100000000
χ5022-22-2-12-22-22-1-12-1-2-2-111-22-1-1-1-22-221-11-111110011i3−i3−i3i3-1-100i3−i3i3−i300−i3i3−i3i3000-22000−i3i30000i3−i31-11-100000000
χ5122-2-22222-2-22-2-222222-22-2-22-2-22-2-222-2-2222-2-200-220000-22000000000000000000000000000000000000002-2
χ5222-2-22222-2-22-2-222222-22-2-22-2-22-2-222-2-2222-2-200-220000-2200000000000000000000000000000000000000-22
χ5322-2-2222-222-2-2-222-2-22-22-2-22-2-2222-2-222-2-2-22200-2200002-20000000000000000000000000000000000002-200
χ5422-2-2222-222-2-2-222-2-22-22-2-22-2-2222-2-222-2-2-22200-2200002-2000000000000000000000000000000000000-2200
χ5544444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-2-2-211114411-2-2-2-211-2-21111-2-211110000000000000000000000000000
χ5644444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-2-2-21111-4-41122221122-1-1-1-122-1-1-1-10000000000000000000000000000
χ5744444-2-2-4-4-4-4-2-2-2-2221-2-2-2-2111-22222222-1-1-1-14-411-2-222-1-1-2-2111122-1-1-1-10000000000000000000000000000
χ5844444-2-2-4-4-4-4-2-2-2-2221-2-2-2-2111-22222222-1-1-1-1-441122-2-2-1-122-1-1-1-1-2-211110000000000000000000000000000
χ59444-4-4-2444-4-4224-244-2-224-4-222-44-4-4-2-222-2-22200-220000-220000000000000000000000000000000000000000
χ60444-4-4-24-4-444224-2-4-4-2-224-4-222-4-44422-2-222-2-200-2200002-20000000000000000000000000000000000000000
χ61444-4-4-2-244-4-422-2-2-2-21-22-221-1-12-222-2-22211-1-1001-100001-123−23−3−33323−23−3−3330000000000000000000000000000
χ62444-4-4-2-244-4-422-2-2-2-21-22-221-1-12-222-2-22211-1-1001-100001-1−232333−3−3−232333−3−30000000000000000000000000000
χ63444-4-4-2-2-4-44422-2-2221-22-221-1-122-2-222-2-2-1-111001-10000-1123−23−3−333−232333−3−30000000000000000000000000000
χ64444-4-4-2-2-4-44422-2-2221-22-221-1-122-2-222-2-2-1-111001-10000-11−232333−3−323−23−3−3330000000000000000000000000000
χ6544-44-44-24-44-444-24-2-2-2-4-42-2-2-2-222-224-44-4-2-2-2-200220000220000000000000000000000000000000000000000
χ6644-44-44-2-44-4444-2422-2-4-42-2-2-2-22-22-2-44-44222200220000-2-20000000000000000000000000000000000000000
χ6744-44-4-2-24-44-4-2-2-2-2-2-21222-211122-22-22-22111100-1-1−2i32i3−2i32i3-1-100i3−i3i3−i300i3−i3i3−i30000000000000000000000000000
χ6844-44-4-2-24-44-4-2-2-2-2-2-21222-211122-22-22-22111100-1-12i3−2i32i3−2i3-1-100−i3i3−i3i300−i3i3−i3i30000000000000000000000000000
χ6944-44-4-2-2-44-44-2-2-2-2221222-21112-22-22-22-2-1-1-1-100-1-1−2i32i32i3−2i31100i3−i3i3−i300−i3i3−i3i30000000000000000000000000000
χ7044-44-4-2-2-44-44-2-2-2-2221222-21112-22-22-22-2-1-1-1-100-1-12i3−2i3−2i32i31100−i3i3−i3i300i3−i3i3−i30000000000000000000000000000
χ7144-4-444-24-4-44-4-4-24-2-2-2-4422-222-222-24-4-44-2-222002-200002-20000000000000000000000000000000000000000
χ7244-4-444-2-444-4-4-4-2422-2-4422-222-2-2-22-444-422-2-2002-20000-220000000000000000000000000000000000000000
χ7344-4-44-244-4-44224-244-22-2-4-4-2224-4-44-222-2-2-222002-200002-20000000000000000000000000000000000000000
χ7444-4-44-24-444-4224-2-4-4-22-2-4-4-222444-42-2-2222-2-2002-20000-220000000000000000000000000000000000000000
χ7544-4-44-2-24-4-4422-2-2-2-212-2221-1-1-222-2-222-211-1-100-110000-11003i−3i−3i3i003i−3i−3i3i0000000000000000000000000000
χ7644-4-44-2-24-4-4422-2-2-2-212-2221-1-1-222-2-222-211-1-100-110000-1100−3i3i3i−3i00−3i3i3i−3i0000000000000000000000000000
χ7744-4-44-2-2-444-422-2-22212-2221-1-1-2-2-222-2-22-1-11100-1100001-1003i−3i−3i3i00−3i3i3i−3i0000000000000000000000000000
χ7844-4-44-2-2-444-422-2-22212-2221-1-1-2-2-222-2-22-1-11100-1100001-100−3i3i3i−3i003i−3i−3i3i0000000000000000000000000000
χ798-800088000000-8-80080000-80000000000000000000000000000000000000000000000000000000000000000
χ808-80008-40000004-843−43-400004000000000043−430000000000000000000000000000000000000000000000000000
χ818-80008-40000004-8−4343-4000040000000000−43430000000000000000000000000000000000000000000000000000
χ828-8000-480000−4i34i3-8400-400004−4i34i300000000000000000000000000000000000000000000000000000000000000
χ838-8000-4800004i3−4i3-8400-4000044i3−4i300000000000000000000000000000000000000000000000000000000000000
χ848-8000-4-40000−4i34i34443−4320000-22i3−2i300000000−23236i−6i00000000000000000000000000000000000000000000000000
χ858-8000-4-40000−4i34i344−434320000-22i3−2i30000000023−23−6i6i00000000000000000000000000000000000000000000000000
χ868-8000-4-400004i3−4i34443−4320000-2−2i32i300000000−2323−6i6i00000000000000000000000000000000000000000000000000
χ878-8000-4-400004i3−4i344−434320000-2−2i32i30000000023−236i−6i00000000000000000000000000000000000000000000000000

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