Finite Group Databasebeta

← Group #11792381

Character table — Group #11792381

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1122222222222222244444444444444444444888888888888888888888824242424242424242424242424242424242424242424242472727272
order122223344446666121236666666612121212121212121212124466121212121212121212121212121212121212244444668812121212121212121212242424242488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1
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
χ51111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-1-1-1-1-1-1-111
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
χ81111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-111111111-1-111
χ92222222-2-2-2-22222-2-2222222222-2-2-2-2-2-2-2-2-2-2-200220000-2-200000000000000002-2000000000022-2-200000000
χ102222222-2-2-2-22222-2-2222222222-2-2-2-2-2-2-2-2-2-2-200220000-2-20000000000000000-220000000000-2-22200000000
χ11222222-1222222-12-1-1-122-1-1-1-1-1-1-1-1-1222-1-1-1-1222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1220022-1-100-1-10000-1-1-1-100000000
χ12222222-1222222-12-1-1-122-1-1-1-1-1-1-1-1-1222-1-1-1-1222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-21100110000111100000000
χ13222222-1222222-12-1-1-122-1-1-1-1-1-1-1-1-1222-1-1-1-12-2-2-1-1-2-2-2-2-1-11111111111112200-2-2-1-100-1-10000111100000000
χ14222222-1222222-12-1-1-122-1-1-1-1-1-1-1-1-1222-1-1-1-12-2-2-1-1-2-2-2-2-1-1111111111111-2-200221100110000-1-1-1-100000000
χ15222222-1-2-2-2-222-1211-122-1-1-1-1-1-1111-2-2-21111-200-1-1000011−i3−i3−i3−i3−i3−i3i3i3i3i3i3i300002-2−i3i300−i3i30000-1-11100000000
χ16222222-1-2-2-2-222-1211-122-1-1-1-1-1-1111-2-2-21111-200-1-1000011−i3−i3−i3−i3−i3−i3i3i3i3i3i3i30000-22i3−i300i3−i3000011-1-100000000
χ17222222-1-2-2-2-222-1211-122-1-1-1-1-1-1111-2-2-21111-200-1-1000011i3i3i3i3i3i3−i3−i3−i3−i3−i3−i300002-2i3−i300i3−i30000-1-11100000000
χ18222222-1-2-2-2-222-1211-122-1-1-1-1-1-1111-2-2-21111-200-1-1000011i3i3i3i3i3i3−i3−i3−i3−i3−i3−i30000-22−i3i300−i3i3000011-1-100000000
χ1922222-122222-1-12-122-1-1-122-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-1002200002200-1-1-1-10000-1-1-1-10000
χ2022222-122222-1-12-122-1-1-122-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-122-1-1-1-100-2-20000-2-2001111000011110000
χ2122222-122222-1-12-122-1-1-122-1-1-12222-1-1-1-1-1-1-1-1-2-2-1-11111-1-1-2-21111-2-2111100220000-2-200-1-1-1-1000011110000
χ2222222-122222-1-12-122-1-1-122-1-1-12222-1-1-1-1-1-1-1-1-2-2-1-11111-1-1-2-21111-2-2111100-2-20000220011110000-1-1-1-10000
χ23222-2-22222-2-2-2-2222222-22-22-2-2-22-2-222-222-2-2-22i−2i2-22i2i−2i−2i2-22i−2i2i2i−2i−2i2i−2i2i2i−2i−2i0000000000000000000000000000
χ24222-2-22222-2-2-2-2222222-22-22-2-2-22-2-222-222-2-2-2−2i2i2-2−2i−2i2i2i2-2−2i2i−2i−2i2i2i−2i2i−2i−2i2i2i0000000000000000000000000000
χ25222-2-222-2-222-2-222-2-222-22-22-2-2-2-222-2-22-2-2222002-20000-220000000000002-200002200-2-20000000000000000
χ26222-2-222-2-222-2-222-2-222-22-22-2-2-2-222-2-22-2-2222002-20000-22000000000000-220000-2-200220000000000000000
χ27222-2-22-122-2-2-2-2-12-1-1-12-2-11-1111-11122-2-1-111-22i−2i-112i2i−2i−2i-11−ii−i−iii−ii−i−iii000000−i3i300i3−i300003−33−300000000
χ28222-2-22-122-2-2-2-2-12-1-1-12-2-11-1111-11122-2-1-111-22i−2i-112i2i−2i−2i-11−ii−i−iii−ii−i−iii000000i3−i300−i3i30000−33−3300000000
χ29222-2-22-122-2-2-2-2-12-1-1-12-2-11-1111-11122-2-1-111-2−2i2i-11−2i−2i2i2i-11i−iii−i−ii−iii−i−i000000−i3i300i3−i30000−33−3300000000
χ30222-2-22-122-2-2-2-2-12-1-1-12-2-11-1111-11122-2-1-111-2−2i2i-11−2i−2i2i2i-11i−iii−i−ii−iii−i−i000000i3−i300−i3i300003−33−300000000
χ31222-2-22-1-2-222-2-2-1211-12-2-11-11111-1-1-2-2211-1-1200-1100001-13−333−3−3−33−3−3332-20000-1-1001100003−3−3300000000
χ32222-2-22-1-2-222-2-2-1211-12-2-11-11111-1-1-2-2211-1-1200-1100001-13−333−3−3−33−3−333-2200001100-1-10000−333−300000000
χ33222-2-22-1-2-222-2-2-1211-12-2-11-11111-1-1-2-2211-1-1200-1100001-1−33−3−3333−333−3−32-20000-1-100110000−333−300000000
χ34222-2-22-1-2-222-2-2-1211-12-2-11-11111-1-1-2-2211-1-1200-1100001-1−33−3−3333−333−3−3-2200001100-1-100003−3−3300000000
χ35222-2-2-1222-2-2112-122-1-112-2-111-22-2-2-1-11-1-11112i−2i-11−i−iii-112i−2i−i−iii2i−2i−i−iii000000000000−i3−i3i3i3000033−3−30000
χ36222-2-2-1222-2-2112-122-1-112-2-111-22-2-2-1-11-1-11112i−2i-11−i−iii-112i−2i−i−iii2i−2i−i−iii000000000000i3i3−i3−i30000−3−3330000
χ37222-2-2-1222-2-2112-122-1-112-2-111-22-2-2-1-11-1-1111−2i2i-11ii−i−i-11−2i2iii−i−i−2i2iii−i−i000000000000−i3−i3i3i30000−3−3330000
χ38222-2-2-1222-2-2112-122-1-112-2-111-22-2-2-1-11-1-1111−2i2i-11ii−i−i-11−2i2iii−i−i−2i2iii−i−i000000000000i3i3−i3−i3000033−3−30000
χ3922-22-2222-22-22222-2-22-2-2-22222-222-22-2-2-2-2-2-2200-2-2000022000000000000000000002-200000000002-22-20000
χ4022-22-2222-22-22222-2-22-2-2-22222-222-22-2-2-2-2-2-2200-2-200002200000000000000000000-220000000000-22-220000
χ4122-22-222-22-222222222-2-2-22222-2-2-22-2222222-200-2-20000-2-2000000000000000000000000000000000000002-2
χ4222-22-222-22-222222222-2-2-22222-2-2-22-2222222-200-2-20000-2-200000000000000000000000000000000000000-22
χ4322-22-2-122-22-2-1-12-1-2-2-111-22-1-1-1-222-2-1111111-10011−i3i3−i3i3-1-100−i3i3−i3i300−i3i3−i3i3000000002-200−i3i3−i3i30000-11-110000
χ4422-22-2-122-22-2-1-12-1-2-2-111-22-1-1-1-222-2-1111111-10011−i3i3−i3i3-1-100−i3i3−i3i300−i3i3−i3i300000000-2200i3−i3i3−i300001-11-10000
χ4522-22-2-122-22-2-1-12-1-2-2-111-22-1-1-1-222-2-1111111-10011i3−i3i3−i3-1-100i3−i3i3−i300i3−i3i3−i3000000002-200i3−i3i3−i30000-11-110000
χ4622-22-2-122-22-2-1-12-1-2-2-111-22-1-1-1-222-2-1111111-10011i3−i3i3−i3-1-100i3−i3i3−i300i3−i3i3−i300000000-2200−i3i3−i3i300001-11-10000
χ4722-2-22222-2-22-2-222-2-22-22-2-22-2-222-222-22-2-222-200-2200002-2000000000000002-2000000002-2-22000000000000
χ4822-2-22222-2-22-2-222-2-22-22-2-22-2-222-222-22-2-222-200-2200002-200000000000000-2200000000-222-2000000000000
χ4922-2-2222-222-2-2-222222-22-2-22-2-22-22-2-22-222-2-2200-220000-220000000000000000000000000000000000002-200
χ5022-2-2222-222-2-2-222222-22-2-22-2-22-22-2-22-222-2-2200-220000-22000000000000000000000000000000000000-2200
χ5122-2-22-122-2-22112-1-2-2-11-1-2-2-11122-22-11-111-1-11001-13−3−33-11003−3−33003−3−33002-200000000-111-100003−3−330000
χ5222-2-22-122-2-22112-1-2-2-11-1-2-2-11122-22-11-111-1-11001-13−3−33-11003−3−33003−3−3300-22000000001-1-110000−333−30000
χ5322-2-22-122-2-22112-1-2-2-11-1-2-2-11122-22-11-111-1-11001-1−333−3-1100−333−300−333−3002-200000000-111-10000−333−30000
χ5422-2-22-122-2-22112-1-2-2-11-1-2-2-11122-22-11-111-1-11001-1−333−3-1100−333−300−333−300-22000000001-1-1100003−3−330000
χ5544444-24-4-4-4-4-2-24-2-4-4-2-2-244-2-2-24-4-4-42222222200-2-20000220000000000000000000000000000000000000000
χ5644444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-2-21111-24411-2-2-2-211-2-21111-2-211110000000000000000000000000000
χ5744444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-2-21111-2-4-41122221122-1-1-1-122-1-1-1-10000000000000000000000000000
χ5844444-2-2-4-4-4-4-2-2-2-2221-2-2-2-2111-2222222-1-1-1-1200110000-1-1−2i3−2i3i3i3i3i32i32i3−i3−i3−i3−i30000000000000000000000000000
χ5944444-2-2-4-4-4-4-2-2-2-2221-2-2-2-2111-2222222-1-1-1-1200110000-1-12i32i3−i3−i3−i3−i3−2i3−2i3i3i3i3i30000000000000000000000000000
χ60444-4-4-24-4-444224-2-4-4-2-224-4-222-4-44422-222-2-2-200-2200002-20000000000000000000000000000000000000000
χ61444-4-4-2-244-4-422-2-2-2-21-22-221-1-12-222-2-2211-1-124i−4i1-1−2i−2i2i2i1-1−2i2iii−i−i−2i2iii−i−i0000000000000000000000000000
χ62444-4-4-2-244-4-422-2-2-2-21-22-221-1-12-222-2-2211-1-12−4i4i1-12i2i−2i−2i1-12i−2i−i−iii2i−2i−i−iii0000000000000000000000000000
χ63444-4-4-2-2-4-44422-2-2221-22-221-1-122-2-222-2-1-111-2001-10000-1123−23−3−333−232333−3−30000000000000000000000000000
χ64444-4-4-2-2-4-44422-2-2221-22-221-1-122-2-222-2-1-111-2001-10000-11−232333−3−323−23−3−3330000000000000000000000000000
χ6544-44-44-24-44-444-2422-2-4-42-2-2-2-22-2-224-4-42222400220000-2-20000000000000000000000000000000000000000
χ6644-44-44-2-44-4444-24-2-2-2-4-42-2-2-2-2222-2-444-2-2-2-2-400220000220000000000000000000000000000000000000000
χ6744-44-4-24-44-44-2-24-244-222-44-2-2-2-4-4-442-2-2-2-2-2-2200220000220000000000000000000000000000000000000000
χ6844-44-4-2-24-44-4-2-2-2-2221222-21112-2-22-222-1-1-1-1-200-1-1−2i32i3−2i32i31100i3−i3i3−i300i3−i3i3−i30000000000000000000000000000
χ6944-44-4-2-24-44-4-2-2-2-2221222-21112-2-22-222-1-1-1-1-200-1-12i3−2i32i3−2i31100−i3i3−i3i300−i3i3−i3i30000000000000000000000000000
χ7044-44-4-2-2-44-44-2-2-2-2-2-21222-2111222-22-2-21111200-1-10000-1-1003-33-300-33-330000000000000000000000000000
χ7144-44-4-2-2-44-44-2-2-2-2-2-21222-2111222-22-2-21111200-1-10000-1-100-33-33003-33-30000000000000000000000000000
χ7244-4-444-24-4-44-4-4-2422-2-4422-222-2-22-24-4422-2-2-4002-20000-220000000000000000000000000000000000000000
χ7344-4-444-2-444-4-4-4-24-2-2-2-4422-222-22-22-44-4-2-2224002-200002-20000000000000000000000000000000000000000
χ7444-4-44-24-444-4224-244-22-2-4-4-2224-44-42-22-2-222-2002-200002-20000000000000000000000000000000000000000
χ7544-4-44-2-24-4-4422-2-22212-2221-1-1-2-22-2-22-2-1-111200-1123−23−23231-100−333−300−333−30000000000000000000000000000
χ7644-4-44-2-24-4-4422-2-22212-2221-1-1-2-22-2-22-2-1-111200-11−232323−231-1003−3−33003−3−330000000000000000000000000000
χ7744-4-44-2-2-444-422-2-2-2-212-2221-1-1-22-222-2211-1-1-200-110000-11003i−3i−3i3i00−3i3i3i−3i0000000000000000000000000000
χ7844-4-44-2-2-444-422-2-2-2-212-2221-1-1-22-222-2211-1-1-200-110000-1100−3i3i3i−3i003i−3i−3i3i0000000000000000000000000000
χ798-800088000000-8-80080000-80000000000000000000000000000000000000000000000000000000000000000
χ808-80008-40000004-843−43-40000400000000043−4300000000000000000000000000000000000000000000000000000
χ818-80008-40000004-8−4343-400004000000000−434300000000000000000000000000000000000000000000000000000
χ828-8000-480000−4i34i3-8400-400004−4i34i300000000000000000000000000000000000000000000000000000000000000
χ838-8000-4800004i3−4i3-8400-4000044i3−4i300000000000000000000000000000000000000000000000000000000000000
χ848-8000-4-40000−4i34i34443−4320000-22i3−2i30000000−23236i−6i000000000000000000000000000000000000000000000000000
χ858-8000-4-40000−4i34i344−434320000-22i3−2i3000000023−23−6i6i000000000000000000000000000000000000000000000000000
χ868-8000-4-400004i3−4i34443−4320000-2−2i32i30000000−2323−6i6i000000000000000000000000000000000000000000000000000
χ878-8000-4-400004i3−4i344−434320000-2−2i32i3000000023−236i−6i000000000000000000000000000000000000000000000000000

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