Finite Group Databasebeta

← Group #11795053

Character table — Group #11795053

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1122222222222222244444444444444444444888888888888888888888824242424242424242424242424242424242424242424242472727272
order12222334444666612123666666661212121212121212121212446612121212121212121212121212121212121244888888121212122424242424242424242424244488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
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
χ51111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111
χ61111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1
χ71111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-111-1-1
χ81111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-111
χ92222222-2-2-2-22222-2-2222222222-2-2-2-2-2-2-2-2-2-2-200220000-2-200000000000000002i−2i0000002i2i−2i−2i000000000000
χ102222222-2-2-2-22222-2-2222222222-2-2-2-2-2-2-2-2-2-2-200220000-2-20000000000000000−2i2i000000−2i−2i2i2i000000000000
χ11222222-1222222-12-1-1-122-1-1-1-1-1-1-1-1222-1-1-1-1-1222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1000022220000-1-1-1-10000-1-1-1-10000
χ12222222-1222222-12-1-1-122-1-1-1-1-1-1-1-1222-1-1-1-1-1222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-200001111000011110000
χ13222222-1222222-12-1-1-122-1-1-1-1-1-1-1-1222-1-1-1-1-12-2-2-1-1-2-2-2-2-1-1111111111111000022-2-20000-1-1-1-1000011110000
χ14222222-1222222-12-1-1-122-1-1-1-1-1-1-1-1222-1-1-1-1-12-2-2-1-1-2-2-2-2-1-11111111111110000-2-222000011110000-1-1-1-10000
χ15222222-1-2-2-2-222-1211-122-1-1-1-1-1-111-2-2-211111-200-1-1000011−i3−i3−i3−i3−i3−i3i3i3i3i3i3i300002i−2i000000−i−iii000033−3−30000
χ16222222-1-2-2-2-222-1211-122-1-1-1-1-1-111-2-2-211111-200-1-1000011−i3−i3−i3−i3−i3−i3i3i3i3i3i3i30000−2i2i000000ii−i−i0000−3−3330000
χ17222222-1-2-2-2-222-1211-122-1-1-1-1-1-111-2-2-211111-200-1-1000011i3i3i3i3i3i3−i3−i3−i3−i3−i3−i300002i−2i000000−i−iii0000−3−3330000
χ18222222-1-2-2-2-222-1211-122-1-1-1-1-1-111-2-2-211111-200-1-1000011i3i3i3i3i3i3−i3−i3−i3−i3−i3−i30000−2i2i000000ii−i−i000033−3−30000
χ1922222-122222-1-12-122-1-1-1222-1-1-122-1-1-1-1-1-1-12-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-122220000-1-1-1-10000-1-1-1-100000000
χ2022222-122222-1-12-122-1-1-1222-1-1-122-1-1-1-1-1-1-12-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1-2-2-2-2000011110000111100000000
χ2122222-122222-1-12-122-1-1-1222-1-1-122-1-1-1-1-1-1-12-1-2-2-1-11111-1-1-2-21111-2-2111122-2-20000-1-1-1-10000111100000000
χ2222222-122222-1-12-122-1-1-1222-1-1-122-1-1-1-1-1-1-12-1-2-2-1-11111-1-1-2-21111-2-21111-2-222000011110000-1-1-1-100000000
χ23222-2-2222-2-22-2-222-2-222-22-2-22-2-22-222-222-2-22-22i−2i2-22i2i−2i−2i2-22i−2i2i2i−2i−2i2i−2i2i2i−2i−2i0000000000000000000000000000
χ24222-2-2222-2-22-2-222-2-222-22-2-22-2-22-222-222-2-22-2−2i2i2-2−2i−2i2i2i2-2−2i2i−2i−2i2i2i−2i2i−2i−2i2i2i0000000000000000000000000000
χ25222-2-222-222-2-2-2222222-22-2-22-2-2-22-2-22-2-222-22002-20000-220000000000000000002i−2i0000000000002i−2i2i−2i0000
χ26222-2-222-222-2-2-2222222-22-2-22-2-2-22-2-22-2-222-22002-20000-22000000000000000000−2i2i000000000000−2i2i−2i2i0000
χ27222-2-22-12-2-22-2-2-1211-12-2-111-111-1122-2-1-111-1-22i−2i-112i2i−2i−2i-11−ii−i−iii−ii−i−iii0000000000003−33−30000−i3i3i3−i30000
χ28222-2-22-12-2-22-2-2-1211-12-2-111-111-1122-2-1-111-1-22i−2i-112i2i−2i−2i-11−ii−i−iii−ii−i−iii000000000000−33−330000i3−i3−i3i30000
χ29222-2-22-12-2-22-2-2-1211-12-2-111-111-1122-2-1-111-1-2−2i2i-11−2i−2i2i2i-11i−iii−i−ii−iii−i−i0000000000003−33−30000i3−i3−i3i30000
χ30222-2-22-12-2-22-2-2-1211-12-2-111-111-1122-2-1-111-1-2−2i2i-11−2i−2i2i2i-11i−iii−i−ii−iii−i−i000000000000−33−330000−i3i3i3−i30000
χ31222-2-22-1-222-2-2-2-12-1-1-12-2-111-1111-1-2-2211-1-11200-1100001-13−333−3−3−33−3−3330000002i−2i0000i3−i3−i3i30000−ii−ii0000
χ32222-2-22-1-222-2-2-2-12-1-1-12-2-111-1111-1-2-2211-1-11200-1100001-13−333−3−3−33−3−333000000−2i2i0000−i3i3i3−i30000i−ii−i0000
χ33222-2-22-1-222-2-2-2-12-1-1-12-2-111-1111-1-2-2211-1-11200-1100001-1−33−3−3333−333−3−30000002i−2i0000−i3i3i3−i30000−ii−ii0000
χ34222-2-22-1-222-2-2-2-12-1-1-12-2-111-1111-1-2-2211-1-11200-1100001-1−33−3−3333−333−3−3000000−2i2i0000i3−i3−i3i30000i−ii−i0000
χ35222-2-2-122-2-22112-1-2-2-1-112-2-2-1112-2-1-11-1-111212i−2i-11−i−iii-112i−2i−i−iii2i−2i−i−iii00000000−i3−i3i3i3000033−3−300000000
χ36222-2-2-122-2-22112-1-2-2-1-112-2-2-1112-2-1-11-1-111212i−2i-11−i−iii-112i−2i−i−iii2i−2i−i−iii00000000i3i3−i3−i30000−3−33300000000
χ37222-2-2-122-2-22112-1-2-2-1-112-2-2-1112-2-1-11-1-11121−2i2i-11ii−i−i-11−2i2iii−i−i−2i2iii−i−i00000000−i3−i3i3i30000−3−33300000000
χ38222-2-2-122-2-22112-1-2-2-1-112-2-2-1112-2-1-11-1-11121−2i2i-11ii−i−i-11−2i2iii−i−i−2i2iii−i−i00000000i3i3−i3−i3000033−3−300000000
χ3922-22-22222-2-22222222-2-2-2-222222-22-222222-2-200-2-20000-2-20000000000000000000000000000000000002i−2i00
χ4022-22-22222-2-22222222-2-2-2-222222-22-222222-2-200-2-20000-2-2000000000000000000000000000000000000−2i2i00
χ4122-22-222-2-2222222-2-22-2-2-2-22222-22-22-2-2-2-2-22200-2-2000022000000000000002-20000000000002-22-200000000
χ4222-22-222-2-2222222-2-22-2-2-2-22222-22-22-2-2-2-2-22200-2-200002200000000000000-22000000000000-22-2200000000
χ4322-22-2-12-2-222-1-12-1-2-2-111-2-22-1-1-1-221-1111112-10011−i3i3−i3i3-1-100−i3i3−i3i300−i3i3−i3i3002-20000−i3i3−i3i30000-11-1100000000
χ4422-22-2-12-2-222-1-12-1-2-2-111-2-22-1-1-1-221-1111112-10011−i3i3−i3i3-1-100−i3i3−i3i300−i3i3−i3i300-220000i3−i3i3−i300001-11-100000000
χ4522-22-2-12-2-222-1-12-1-2-2-111-2-22-1-1-1-221-1111112-10011i3−i3i3−i3-1-100i3−i3i3−i300i3−i3i3−i3002-20000i3−i3i3−i30000-11-1100000000
χ4622-22-2-12-2-222-1-12-1-2-2-111-2-22-1-1-1-221-1111112-10011i3−i3i3−i3-1-100i3−i3i3−i300i3−i3i3−i300-220000−i3i3−i3i300001-11-100000000
χ4722-2-22222-22-2-2-222-2-22-22-22-22-2-2222-2-222-2-2-2200-220000-22000000000000000000000000000000000000002i−2i
χ4822-2-22222-22-2-2-222-2-22-22-22-22-2-2222-2-222-2-2-2200-220000-2200000000000000000000000000000000000000−2i2i
χ4922-2-2222-22-22-2-222222-22-22-22-2-2-2-2-222-2-2222-200-2200002-20000000000002-20000002-2-220000000000000000
χ5022-2-2222-22-22-2-222222-22-22-22-2-2-2-2-222-2-2222-200-2200002-2000000000000-22000000-222-20000000000000000
χ5122-2-22-12-22-22112-122-11-1-22-2-111-2-21-1-111-1-121001-13−3−33-11003−3−33003−3−332-2000000-111-100003−3−3300000000
χ5222-2-22-12-22-22112-122-11-1-22-2-111-2-21-1-111-1-121001-13−3−33-11003−3−33003−3−33-220000001-1-110000−333−300000000
χ5322-2-22-12-22-22112-122-11-1-22-2-111-2-21-1-111-1-121001-1−333−3-1100−333−300−333−32-2000000-111-10000−333−300000000
χ5422-2-22-12-22-22112-122-11-1-22-2-111-2-21-1-111-1-121001-1−333−3-1100−333−300−333−3-220000001-1-1100003−3−3300000000
χ5544444-24-4-4-4-4-2-24-2-4-4-2-2-2444-2-2-2-4-42222222-4200-2-20000220000000000000000000000000000000000000000
χ5644444-2-24444-2-2-2-2-2-21-2-2-2-2-2111-2-2-2-2-21111-2-24411-2-2-2-211-2-21111-2-211110000000000000000000000000000
χ5744444-2-24444-2-2-2-2-2-21-2-2-2-2-2111-2-2-2-2-21111-2-2-4-41122221122-1-1-1-122-1-1-1-10000000000000000000000000000
χ5844444-2-2-4-4-4-4-2-2-2-2221-2-2-2-2-211122222-1-1-1-12200110000-1-1−2i3−2i3i3i3i3i32i32i3−i3−i3−i3−i30000000000000000000000000000
χ5944444-2-2-4-4-4-4-2-2-2-2221-2-2-2-2-211122222-1-1-1-12200110000-1-12i32i3−i3−i3−i3−i3−2i3−2i3i3i3i3i30000000000000000000000000000
χ60444-4-4-24-444-4224-244-2-224-4-4-222-4422-222-2-2-4-200-2200002-20000000000000000000000000000000000000000
χ61444-4-4-2-24-4-4422-2-2221-22-2221-1-1-22-2-2211-1-1-224i−4i1-1−2i−2i2i2i1-1−2i2iii−i−i−2i2iii−i−i0000000000000000000000000000
χ62444-4-4-2-24-4-4422-2-2221-22-2221-1-1-22-2-2211-1-1-22−4i4i1-12i2i−2i−2i1-12i−2i−i−iii2i−2i−i−iii0000000000000000000000000000
χ63444-4-4-2-2-444-422-2-2-2-21-22-2221-1-12-222-2-1-1112-2001-10000-1123−23−3−333−232333−3−30000000000000000000000000000
χ64444-4-4-2-2-444-422-2-2-2-21-22-2221-1-12-222-2-1-1112-2001-10000-11−232333−3−323−23−3−3330000000000000000000000000000
χ6544-44-44-244-4-444-24-2-2-2-4-422-2-2-2-2-224-44-2-2-2-22-400220000220000000000000000000000000000000000000000
χ6644-44-44-2-4-44444-2422-2-4-422-2-2-2-22-2-44-42222-2400220000-2-20000000000000000000000000000000000000000
χ6744-44-4-2444-4-4-2-24-244-222-4-44-2-2-24-4-22-2-2-2-2-2-4200220000220000000000000000000000000000000000000000
χ6844-44-4-2-244-4-4-2-2-2-2-2-212222-2111-22-22-211112200-1-10000-1-1003-33-300-33-330000000000000000000000000000
χ6944-44-4-2-244-4-4-2-2-2-2-2-212222-2111-22-22-211112200-1-10000-1-100-33-33003-33-30000000000000000000000000000
χ7044-44-4-2-2-4-444-2-2-2-22212222-21112-22-22-1-1-1-1-2-200-1-1−2i32i3−2i32i31100i3−i3i3−i300i3−i3i3−i30000000000000000000000000000
χ7144-44-4-2-2-4-444-2-2-2-22212222-21112-22-22-1-1-1-1-2-200-1-12i3−2i32i3−2i31100−i3i3−i3i300−i3i3−i3i30000000000000000000000000000
χ7244-4-444-24-44-4-4-4-2422-2-442-22-222-2-24-4-4-2-22224002-200002-20000000000000000000000000000000000000000
χ7344-4-444-2-44-44-4-4-24-2-2-2-442-22-22222-44422-2-2-2-4002-20000-220000000000000000000000000000000000000000
χ7444-4-44-244-44-4224-2-4-4-22-2-44-4-22244-222-2-222-4-2002-200002-20000000000000000000000000000000000000000
χ7544-4-44-2-24-44-422-2-22212-22-221-1-1-2-2-22211-1-12-200-110000-11003i−3i−3i3i00−3i3i3i−3i0000000000000000000000000000
χ7644-4-44-2-24-44-422-2-22212-22-221-1-1-2-2-22211-1-12-200-110000-1100−3i3i3i−3i003i−3i−3i3i0000000000000000000000000000
χ7744-4-44-2-2-44-4422-2-2-2-212-22-221-1-1222-2-2-1-111-2200-1123−23−23231-100−333−300−333−30000000000000000000000000000
χ7844-4-44-2-2-44-4422-2-2-2-212-22-221-1-1222-2-2-1-111-2200-11−232323−231-1003−3−33003−3−330000000000000000000000000000
χ798-800088000000-8-800800000-8000000000000000000000000000000000000000000000000000000000000000
χ808-80008-40000004-843−43-400000400000000043−430000000000000000000000000000000000000000000000000000
χ818-80008-40000004-8−4343-4000004000000000−43430000000000000000000000000000000000000000000000000000
χ828-8000-480000−4i34i3-8400-4000004−4i34i30000000000000000000000000000000000000000000000000000000000000
χ838-8000-4800004i3−4i3-8400-40000044i3−4i30000000000000000000000000000000000000000000000000000000000000
χ848-8000-4-40000−4i34i34443−43200000-22i3−2i3000006i−6i−23230000000000000000000000000000000000000000000000000000
χ858-8000-4-40000−4i34i344−4343200000-22i3−2i300000−6i6i23−230000000000000000000000000000000000000000000000000000
χ868-8000-4-400004i3−4i34443−43200000-2−2i32i300000−6i6i−23230000000000000000000000000000000000000000000000000000
χ878-8000-4-400004i3−4i344−4343200000-2−2i32i3000006i−6i23−230000000000000000000000000000000000000000000000000000

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