Finite Group Databasebeta

← Group #11819204

Character table — Group #11819204

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111111112222222222222222222244444444444444448888888888888888888888121212121212121212121212121212121212121212121212121212121212121218181818242424242424242436367272
order1222222222223366666666666666366666666666666644666612121212121212121212121212121212444444444444444412121212121212121212121212121212444412121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ611111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111
χ711111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ811111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111111111111111111111-1-1-1-1-1-1-1-111-1-1
χ911111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-11-1
χ1011111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-11
χ1111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111-11
χ1211111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-1-111111111-1-111-1-111-1-11-1
χ1311111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111111-11-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111111111-1-111-1-1-1-1-11
χ1411111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111111-11-1-1-1-1-1-111-1-111-1-1-1-1111111-1-111-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-111111-1
χ1511111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111111-11-1-1-1-1-1-111-1-111-1-1-1-11111-1-111-1-111-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1111-1
χ1611111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111111-11-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-11111-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-11
χ172222222222222-12222-1-1-1-1-1-1222-1-12222-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12200002222220000-1-1-1-1-1-1-1-1000000000000-1-1-1-100000000
χ182222222222222-12222-1-1-1-1-1-1222-1-12222-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-20000-2-2-2-2-2-2000011111111000000000000111100000000
χ192222222222222-12222-1-1-1-1-1-1222-1-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-1-1-1-11111-2-2-2-211111111220000-2-2-2-222000011111111000000000000-1-1-1-100000000
χ202222222222222-12222-1-1-1-1-1-1222-1-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-1-1-1-11111-2-2-2-211111111-2-200002222-2-20000-1-1-1-1-1-1-1-1000000000000111100000000
χ21222222222222-12-1-1-1-1222222-1-1-12-1-1-1-1-12222-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1002222000000222200000000-1-1-1-1-1-1-1-100000000-1-1-1-10000
χ22222222222222-12-1-1-1-1222222-1-1-12-1-1-1-1-12222-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-2000000-2-2-2-200000000111111110000000011110000
χ23222222222222-12-1-1-1-1222222-1-1-12-1-1-1-1-12222-1-1-1-1-1-1-1-2-2-1-1-1-1-2-2-2-2111111111111002222000000-2-2-2-2000000001111111100000000-1-1-1-10000
χ24222222222222-12-1-1-1-1222222-1-1-12-1-1-1-1-12222-1-1-1-1-1-1-1-2-2-1-1-1-1-2-2-2-211111111111100-2-2-2-2000000222200000000-1-1-1-1-1-1-1-10000000011110000
χ2522222222-2-2-2-22-12222-1-1-1-1-1-1222-1-1-2-2-2-21111-1-1-1-1-1-1-12-21111-1-11122-2-2-1-1-1-1111122000022-2-2-2-20000-1-1-1-11111000000000000-1-11100000000
χ2622222222-2-2-2-22-12222-1-1-1-1-1-1222-1-1-2-2-2-21111-1-1-1-1-1-1-12-21111-1-11122-2-2-1-1-1-11111-2-20000-2-2222200001111-1-1-1-100000000000011-1-100000000
χ2722222222-2-2-2-22-12222-1-1-1-1-1-1222-1-1-2-2-2-21111-1-1-1-1-1-1-1-22111111-1-1-2-2221111-1-1-1-1220000-2-222-2-200001111-1-1-1-1000000000000-1-11100000000
χ2822222222-2-2-2-22-12222-1-1-1-1-1-1222-1-1-2-2-2-21111-1-1-1-1-1-1-1-22111111-1-1-2-2221111-1-1-1-1-2-2000022-2-2220000-1-1-1-1111100000000000011-1-100000000
χ2922222222-2-2-2-2-12-1-1-1-1222222-1-1-12-11111-2-2-2-2-1-1-1-1-1-1-12-2111122-2-2-1-111-1-1-1-111110022-2-200000022-2-200000000-1-1-1-1111100000000-1-1110000
χ3022222222-2-2-2-2-12-1-1-1-1222222-1-1-12-11111-2-2-2-2-1-1-1-1-1-1-12-2111122-2-2-1-111-1-1-1-1111100-2-222000000-2-222000000001111-1-1-1-10000000011-1-10000
χ3122222222-2-2-2-2-12-1-1-1-1222222-1-1-12-11111-2-2-2-2-1-1-1-1-1-1-1-221111-2-22211-1-11111-1-1-1-10022-2-2000000-2-222000000001111-1-1-1-100000000-1-1110000
χ3222222222-2-2-2-2-12-1-1-1-1222222-1-1-12-11111-2-2-2-2-1-1-1-1-1-1-1-221111-2-22211-1-11111-1-1-1-100-2-22200000022-2-200000000-1-1-1-111110000000011-1-10000
χ33222-2-2-2-2200002222-2-22-22-22-22-2-2-220000000022-2-2-22-200000000000000000000000000002i−2i00002i−2i002i2i−2i−2i00002i2i−2i−2i000022-2-2000000000000
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χ3822-2-222-2-222-2-2222-22-2-2-2-2-222-2-222222-2-222-2-22-222-2-2-20022-2-2000000000000000000−2i2i−2i2i0000000000000000000000000000000000−2i2i−2i2i0000
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χ4022-2-222-2-222-2-2-12-11-11-2-2-2-22211-12-1-1-11122-2-2-11-1-111100-1-11100003−33−333−3−333−3−300−2i2i−2i2i000000000000000000i3−i3i3−i3i3i3−i3−i300000000i−ii−i0000
χ4122-2-222-2-222-2-2-12-11-11-2-2-2-22211-12-1-1-11122-2-2-11-1-111100-1-1110000−33−33−3−333−3−333002i−2i2i−2i000000000000000000i3−i3i3−i3i3i3−i3−i300000000−ii−ii0000
χ4222-2-222-2-222-2-2-12-11-11-2-2-2-22211-12-1-1-11122-2-2-11-1-111100-1-1110000−33−33−3−333−3−33300−2i2i−2i2i000000000000000000−i3i3−i3i3−i3−i3i3i300000000i−ii−i0000
χ4322-2-222-2-2-2-222222-22-2-2-2-2-222-2-2222-2-222-2-2222-222-2-2-200-2-2220000000000000000002i−2i−2i2i00000000000000000000000000000000002i−2i−2i2i0000
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χ884-4444-4-4-44-44-44-2-4-44-422-2-22244-4-2-24-44-4-22-2222-222-2-200-22-220000000000000000000000000000000000000000000000000000000000000000
χ894-4444-4-4-44-44-4-2422-22-4-444-4-4-2-224-2-22-224-44-422-222-2-200-22-220000000000000000000000000000000000000000000000000000000000000000
χ904-4444-4-4-44-44-4-2-222-2222-2-222-2-22-21-22-22-22-22-1-11-1-111001-11-1000000003-3-333-3-33000000000000000000000000000000000000000000000000
χ914-4444-4-4-44-44-4-2-222-2222-2-222-2-22-21-22-22-22-22-1-11-1-111001-11-100000000-333-3-333-3000000000000000000000000000000000000000000000000
χ924-4444-4-4-4-44-444-2-4-44-422-2-22244-4-2-2-44-442-22-222-222-2-2002-22-20000000000000000000000000000000000000000000000000000000000000000
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χ944-4444-4-4-4-44-44-2-222-2222-2-222-2-22-212-22-22-22-2-1-11-1-11100-11-11000000003-3-33-333-3000000000000000000000000000000000000000000000000
χ954-4444-4-4-4-44-44-2-222-2222-2-222-2-22-212-22-22-22-2-1-11-1-11100-11-1100000000-333-33-3-33000000000000000000000000000000000000000000000000
χ964-44-4-444-400004-2-4-4-442-2-222-24-442-200000000222-2-2-220000000000000000000000000000004i−4i0000000000−2i−2i2i2i000000000000000000000000
χ974-44-4-444-400004-2-4-4-442-2-222-24-442-200000000222-2-2-22000000000000000000000000000000−4i4i00000000002i2i−2i−2i000000000000000000000000
χ984-44-4-444-40000-24222-2-444-4-44-22-2-4-200000000222-2-2-220000000000000000000000000000000000004-4000000000000-22-220000000000000000
χ994-44-4-444-40000-24222-2-444-4-44-22-2-4-200000000222-2-2-22000000000000000000000000000000000000-440000000000002-22-20000000000000000
χ1004-4-44-44-44000044-44-4-44-4-44-44-444-4400000000-44-44-4-440000000000000000000000000000000000000000000000000000000000000000000000
χ1014-4-44-44-4400004-2-44-4-4-222-22-2-4442-2000000002-22-222-20000000000000000000000000000000000000023−23−23230000000000000000000000000000
χ1024-4-44-44-4400004-2-44-4-4-222-22-2-4442-2000000002-22-222-200000000000000000000000000000000000000−232323−230000000000000000000000000000
χ1034-4-44-44-440000-242-2224-4-44-442-2-2-4-2000000002-22-222-200000000000000000000000000000000000000000000000000−2i32i32i3−2i30000000000000000
χ1044-4-44-44-440000-242-2224-4-44-442-2-2-4-2000000002-22-222-2000000000000000000000000000000000000000000000000002i3−2i3−2i32i30000000000000000
χ1054-4-4-44-4444-4-44-242-2-2-244-4-4-4-42224-2-222-24-4-442-2-22-22200-222-20000000000000000000000000000000000000000000000000000000000000000
χ1064-4-4-44-4444-4-44-2-22-2-2-2-2-22222222-21-222-2-222-2-111-11-1-1001-1-1123−2323−230000−33−33−33−33000000000000000000000000000000000000000000000000
χ1074-4-4-44-4444-4-44-2-22-2-2-2-2-22222222-21-222-2-222-2-111-11-1-1001-1-11−2323−232300003−33−33−33−3000000000000000000000000000000000000000000000000
χ1084-4-4-44-444-444-4-242-2-2-244-4-4-4-42224-22-2-22-444-42-2-22-222002-2-220000000000000000000000000000000000000000000000000000000000000000
χ1094-4-4-44-444-444-4-2-22-2-2-2-2-22222222-212-2-222-2-22-111-11-1-100-111-123−23−23230000−33−333−33−3000000000000000000000000000000000000000000000000
χ1104-4-4-44-444-444-4-2-22-2-2-2-2-22222222-212-2-222-2-22-111-11-1-100-111-1−232323−2300003−33−3−33−33000000000000000000000000000000000000000000000000
χ111888-8-8-8-880000-4-4-4-444-44-44-44-444420000000022-2-2-22-20000000000000000000000000000000000000000000000000000000000000000000000
χ11288-88-8-88-80000-4-4-444-44-44-4-444-4442000000002-2-2-22-220000000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-8-888-80000-4-4444-44-4-444-4-44-44200000000-2-2-2222-20000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-88-880000-4-44-444-444-44-44-4-44200000000-22-22-2-220000000000000000000000000000000000000000000000000000000000000000000000

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