Finite Group Databasebeta

← Group #11812884

Character table — Group #11812884

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11111111222222222222222222224444444444444444666688888888888888888888881212121212121212121212121212121212121212121212121212242424242424242424243636363636363636
order122222222222336666666666666636666666666666664444446666121212121212121212121212121212122244444444121212121212121212121212121212122466661212121244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1
χ611111111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ711111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-11111
χ811111111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-11111-1-1-1-1
χ911111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-11-11111-1-1-1-1-1-11111-1-1
χ1011111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-111111-111-1-1-1-11111-1-1-1-111
χ1111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-111111111111-11-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-11-1-11111-1-1-1-111-1-111
χ1211111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-111111111111-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-11-1-1-1-1111111-1-111-1-1
χ1311111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-1-1-1-111111111-1-1-1-1-11-1-11111-1-111-1-1-1-111
χ1411111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-11-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-11111-11-1-1-1-11111-1-11111-1-1
χ1511111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-111111-11111-1-1-1-111-1-111-1-1
χ1611111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111111-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1-1-111111111-1-1-1-11-111-1-1-1-111-1-111-1-111
χ172222222222222-1222-1-1-122-1-12-12-1-12222-1-1-1-1-1-1-1-1-1-1-1000022-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1222222220000000000-1-1-1-1-1-1-1-10000-1-100-1-100000000
χ182222222222222-1222-1-1-122-1-12-12-1-12222-1-1-1-1-1-1-1-1-1-1-1000022-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2000000000011111111000011001100000000
χ192222222222222-1222-1-1-122-1-12-12-1-12222-1-1-1-1-1-1-1-1-1-1-10000-2-2-1-1-1-1-2-211-2-211111111112222-2-2-2-20000000000111111110000-1-100-1-100000000
χ202222222222222-1222-1-1-122-1-12-12-1-12222-1-1-1-1-1-1-1-1-1-1-10000-2-2-1-1-1-1-2-211-2-21111111111-2-2-2-222220000000000-1-1-1-1-1-1-1-1000011001100000000
χ21222222222222-12-1-1-1222-1-122-12-12-1-1-1-1-12222-1-1-1-1-1-1-1222222-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-10000000022-1-1-1-1-1-1-1-10000000022-1-100-1-10000000000
χ22222222222222-12-1-1-1222-1-122-12-12-1-1-1-1-12222-1-1-1-1-1-1-12222-2-2-1-1-1-111-2-211-2-2111111110000000022-1-1-1-1-1-1-1-100000000-2-21100110000000000
χ23222222222222-12-1-1-1222-1-122-12-12-1-1-1-1-12222-1-1-1-1-1-1-1-2-2-2-222-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-100000000-2-21111111100000000-2-21100110000000000
χ24222222222222-12-1-1-1222-1-122-12-12-1-1-1-1-12222-1-1-1-1-1-1-1-2-2-2-2-2-2-1-1-1-111-2-211-2-21111111100000000-2-2111111110000000022-1-100-1-10000000000
χ2522222222-2-2-2-22-1222-1-1-122-1-12-12-1-1-2-2-2-21111-1-1-1-1-1-1-100002-2111122-1-1-2-211-1-1-1-1111122-2-222-2-20000000000-1-1-1-111110000-1-1001100000000
χ2622222222-2-2-2-22-1222-1-1-122-1-12-12-1-1-2-2-2-21111-1-1-1-1-1-1-100002-2111122-1-1-2-211-1-1-1-11111-2-222-2-22200000000001111-1-1-1-100001100-1-100000000
χ2722222222-2-2-2-22-1222-1-1-122-1-12-12-1-1-2-2-2-21111-1-1-1-1-1-1-10000-221111-2-21122-1-11111-1-1-1-122-2-2-2-22200000000001111-1-1-1-10000-1-1001100000000
χ2822222222-2-2-2-22-1222-1-1-122-1-12-12-1-1-2-2-2-21111-1-1-1-1-1-1-10000-221111-2-21122-1-11111-1-1-1-1-2-22222-2-20000000000-1-1-1-1111100001100-1-100000000
χ2922222222-2-2-2-2-12-1-1-1222-1-122-12-12-11111-2-2-2-2-1-1-1-1-1-1-122222-21111-1-12211-2-2-1-1-1-1111100000000-2-2-1-1-1-11111000000002-2-1-100110000000000
χ3022222222-2-2-2-2-12-1-1-1222-1-122-12-12-11111-2-2-2-2-1-1-1-1-1-1-12222-22111111-2-2-1-1221111-1-1-1-100000000-2-2-1-1-1-1111100000000-221100-1-10000000000
χ3122222222-2-2-2-2-12-1-1-1222-1-122-12-12-11111-2-2-2-2-1-1-1-1-1-1-1-2-2-2-22-21111-1-12211-2-2-1-1-1-1111100000000221111-1-1-1-100000000-221100-1-10000000000
χ3222222222-2-2-2-2-12-1-1-1222-1-122-12-12-11111-2-2-2-2-1-1-1-1-1-1-1-2-2-2-2-22111111-2-2-1-1221111-1-1-1-100000000221111-1-1-1-1000000002-2-1-100110000000000
χ3322-2-222-2-222-2-22222-22-2-2-2-2-2-222-22222-2-222-2-2222-2-2-2-22i2i−2i−2i0022-2-20000000000000000000000002i−2i2i2i−2i−2i2i2i−2i−2i00000000000000000000000000
χ3422-2-222-2-222-2-22222-22-2-2-2-2-2-222-22222-2-222-2-2222-2-2-2-2−2i−2i2i2i0022-2-2000000000000000000000000−2i2i−2i−2i2i2i−2i−2i2i2i00000000000000000000000000
χ3522-2-222-2-222-2-2-12-1-112-2-211-2-2-1212-1-1-11122-2-2-1-1-111112i2i−2i−2i00-1-1113−3003−30033−3−333−3−3000000002i−2i−i−iii−i−iii0000000000−i3i300−i3i30000000000
χ3622-2-222-2-222-2-2-12-1-112-2-211-2-2-1212-1-1-11122-2-2-1-1-111112i2i−2i−2i00-1-111−3300−3300−3−333−3−333000000002i−2i−i−iii−i−iii0000000000i3−i300i3−i30000000000
χ3722-2-222-2-222-2-2-12-1-112-2-211-2-2-1212-1-1-11122-2-2-1-1-11111−2i−2i2i2i00-1-1113−3003−30033−3−333−3−300000000−2i2iii−i−iii−i−i0000000000i3−i300i3−i30000000000
χ3822-2-222-2-222-2-2-12-1-112-2-211-2-2-1212-1-1-11122-2-2-1-1-11111−2i−2i2i2i00-1-111−3300−3300−3−333−3−33300000000−2i2iii−i−iii−i−i0000000000−i3i300−i3i30000000000
χ3922-2-222-2-2-2-2222222-22-2-2-2-2-2-222-222-2-222-2-222222-2-2-2-22i2i−2i−2i00-2-222000000000000000000000000−2i2i2i2i−2i−2i−2i−2i2i2i00000000000000000000000000
χ4022-2-222-2-2-2-2222222-22-2-2-2-2-2-222-222-2-222-2-222222-2-2-2-2−2i−2i2i2i00-2-2220000000000000000000000002i−2i−2i−2i2i2i2i2i−2i−2i00000000000000000000000000
χ4122-2-222-2-2-2-222-12-1-112-2-211-2-2-1212-111-1-1-2-222-1-1-111112i2i−2i−2i0011-1-13−300−330033−3−3−3−33300000000−2i2i−i−iiiii−i−i0000000000−i3i300i3−i30000000000
χ4222-2-222-2-2-2-222-12-1-112-2-211-2-2-1212-111-1-1-2-222-1-1-111112i2i−2i−2i0011-1-1−33003−300−3−33333−3−300000000−2i2i−i−iiiii−i−i0000000000i3−i300−i3i30000000000
χ4322-2-222-2-2-2-222-12-1-112-2-211-2-2-1212-111-1-1-2-222-1-1-11111−2i−2i2i2i0011-1-13−300−330033−3−3−3−333000000002i−2iii−i−i−i−iii0000000000i3−i300−i3i30000000000
χ4422-2-222-2-2-2-222-12-1-112-2-211-2-2-1212-111-1-1-2-222-1-1-11111−2i−2i2i2i0011-1-1−33003−300−3−33333−3−3000000002i−2iii−i−i−i−iii0000000000−i3i300i3−i30000000000
χ452-2222-2-2-22-22-222-2-2-2-2-2-2222222-2-222-22-22-22-22-2-2-2-2220000002-22-200000000000000000000000000000000000000000000000000002i−2i2i−2i0000
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χ492-22-2-222-20000222-22-22-22-22-2-2-2-22200000000-22-22-22-22i−2i2i−2i00000000000000000000000000002-2002i−2i2i−2i0000000022-2-200000000000000002i−2i
χ502-22-2-222-20000222-22-22-22-22-2-2-2-22200000000-22-22-22-22i−2i2i−2i0000000000000000000000000000-22002i−2i2i−2i00000000-2-2220000000000000000−2i2i
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χ522-22-2-222-20000222-22-22-22-22-2-2-2-22200000000-22-22-22-2−2i2i−2i2i0000000000000000000000000000-2200−2i2i−2i2i00000000-2-22200000000000000002i−2i
χ532-2-22-22-220000222-2-2-2-22-22-22-2-222200000000-22-2-22-222-2-22000000000000000000000000002-200002-2-22000022-2-20000000000000000002-200
χ542-2-22-22-220000222-2-2-2-22-22-22-2-222200000000-22-2-22-222-2-2200000000000000000000000000-2200002-2-220000-2-222000000000000000000-2200
χ552-2-22-22-220000222-2-2-2-22-22-22-2-222200000000-22-2-22-22-222-2000000000000000000000000002-20000-222-2000022-2-2000000000000000000-2200
χ562-2-22-22-220000222-2-2-2-22-22-22-2-222200000000-22-2-22-22-222-200000000000000000000000000-220000-222-20000-2-2220000000000000000002-200
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χ602-2-2-22-2222-2-222-1-2-221-1-1-2-2112-121-12-2-22-111-1-111-1-111000000-111-1003−3003−33−33−33−33−3-22-2200000000000000−33−33−33−3300001-1001-100000000
χ612-2-2-22-2222-2-222-1-2-221-1-1-2-2112-121-12-2-22-111-1-111-1-111000000-111-100−3300−33−33−33−33−332-22-200000000000000−33−33−33−330000-1100-1100000000
χ622-2-2-22-2222-2-222-1-2-221-1-1-2-2112-121-12-2-22-111-1-111-1-111000000-111-100−3300−33−33−33−33−33-22-22000000000000003−33−33−33−300001-1001-100000000
χ632-2-2-22-222-222-222-2-22-222-2-2-2-2222-22-222-2-222-22-2-222-2-2000000-222-200000000000000002-2-22000000000000000000000000002-200-2200000000
χ642-2-2-22-222-222-222-2-22-222-2-2-2-2222-22-222-2-222-22-2-222-2-2000000-222-20000000000000000-222-200000000000000000000000000-22002-200000000
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χ662-2-2-22-222-222-22-1-2-221-1-1-2-2112-121-1-222-21-1-11-111-1-1110000001-1-11003−300−333−33−3−33−33-222-200000000000000−33−333−33−300001-100-1100000000
χ672-2-2-22-222-222-22-1-2-221-1-1-2-2112-121-1-222-21-1-11-111-1-1110000001-1-1100−33003−3−33−333−33−32-2-2200000000000000−33−333−33−30000-11001-100000000
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χ914-4444-4-4-44-44-4-2-2222222-2-2-2-2-2-2221-22-22-22-221-1-1-1-1110000001-11-1000000003-3-333-3-3300000000000000000000000000000000000000000000
χ924-4444-4-4-44-44-4-2-2222222-2-2-2-2-2-2221-22-22-22-221-1-1-1-1110000001-11-100000000-333-3-333-300000000000000000000000000000000000000000000
χ934-4444-4-4-4-44-444-2-4-4-422244-2-24-2-42-2-44-442-22-2-22222-2-20000002-22-2000000000000000000000000000000000000000000000000000000000000
χ944-4444-4-4-4-44-44-24222-4-4-4-2-244-242-4-22-22-2-44-44-22222-2-20000002-22-2000000000000000000000000000000000000000000000000000000000000
χ954-4444-4-4-4-44-44-2-2222222-2-2-2-2-2-22212-22-22-22-21-1-1-1-111000000-11-11000000003-3-33-333-300000000000000000000000000000000000000000000
χ964-4444-4-4-4-44-44-2-2222222-2-2-2-2-2-22212-22-22-22-21-1-1-1-111000000-11-1100000000-333-33-3-3300000000000000000000000000000000000000000000
χ974-44-4-444-400004-24-442-224-4-22-42-4-2-2000000002-22-22-22000000000000000000000000000000004-400000000000000-2-222000000000000000000
χ984-44-4-444-400004-24-442-224-4-22-42-4-2-2000000002-22-22-2200000000000000000000000000000000-440000000000000022-2-2000000000000000000
χ994-44-4-444-40000-24-22-2-44-4-224-42-424-2000000002-22-22-224i−4i4i−4i00000000000000000000000000000000−2i2i−2i2i000000000000000000000000000000
χ1004-44-4-444-40000-24-22-2-44-4-224-42-424-2000000002-22-22-22−4i4i−4i4i000000000000000000000000000000002i−2i2i−2i000000000000000000000000000000
χ1014-4-44-44-4400004-24-4-422-2-442-2-424-2-2000000002-222-22-20000000000000000000000000000004-4000000000000-2-2220000000000000000000000
χ1024-4-44-44-4400004-24-4-422-2-442-2-424-2-2000000002-222-22-2000000000000000000000000000000-4400000000000022-2-20000000000000000000000
χ1034-4-44-44-440000-24-222-4-442-2-442-4-24-2000000002-222-22-24-4-4400000000000000000000000000000000-222-2000000000000000000000000000000
χ1044-4-44-44-440000-24-222-4-442-2-442-4-24-2000000002-222-22-2-444-4000000000000000000000000000000002-2-22000000000000000000000000000000
χ1054-4-4-44-4444-4-44-2422-2-44422-4-4-24-2-4-2-222-24-4-44-222-2-222000000-222-2000000000000000000000000000000000000000000000000000000000000
χ1064-4-4-44-4444-4-44-2-222-22-2-22222-2-2-221-222-2-222-21-1-111-1-10000001-1-110023−230023−23−33−33−33−3300000000000000000000000000000000000000000000
χ1074-4-4-44-4444-4-44-2-222-22-2-22222-2-2-221-222-2-222-21-1-111-1-10000001-1-1100−232300−23233−33−33−33−300000000000000000000000000000000000000000000
χ1084-4-4-44-444-444-4-2422-2-44422-4-4-24-2-4-22-2-22-444-4-222-2-2220000002-2-22000000000000000000000000000000000000000000000000000000000000
χ1094-4-4-44-444-444-4-2-222-22-2-22222-2-2-2212-2-222-2-221-1-111-1-1000000-111-10023−2300−2323−33−333−33−300000000000000000000000000000000000000000000
χ1104-4-4-44-444-444-4-2-222-22-2-22222-2-2-2212-2-222-2-221-1-111-1-1000000-111-100−23230023−233−33−3−33−3300000000000000000000000000000000000000000000
χ111888-8-8-8-880000-4-44-44-44-4-44-4444-44200000000-2-22-222-20000000000000000000000000000000000000000000000000000000000000000000000
χ11288-88-8-88-80000-4-44-4-4-4-444-44-44444200000000-2-222-2-220000000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-8-888-80000-4-4-44-44-44-44-44444-4200000000-22-22-22-20000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-88-880000-4-4-44444-44-44-444-4-4200000000-22-2-22-220000000000000000000000000000000000000000000000000000000000000000000000

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