Finite Group Databasebeta

← Group #11812883

Character table — Group #11812883

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size111111112222222222222222222244444444444444448888888888888888888888121212121212121212121212121212121212121212121212121212121212121218181818242424242424242436367272
order12222222222233666666666666663666666666666666446666121212121212121212121212121212122244444444444444121212121212121212121212121212124444661212121212124424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1
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
χ511111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ611111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111
χ711111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111
χ811111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111111111111111111111-1-1-1-1-1-1-1-111-1-1
χ911111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1111-1
χ1011111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111111111-1-1-1-111-1-1-11
χ1111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-111111111-1-1-1-11111-1-11111-1-1-1-1-11
χ1211111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111111-1
χ1311111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111111-11-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-111-1-111-11
χ1411111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111111-11-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-111-1-11-1
χ1511111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111111-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-11-1
χ1611111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111111-11-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111-1-1111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-11
χ172222222222222-1222-1-1-122-1-12-1-12-12222-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-12200222222000000-1-1-1-1-1-1-1-1000000000000-1-1-1-100000000
χ182222222222222-1222-1-1-122-1-12-1-12-12222-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-1-2-200-2-2-2-2-2-200000011111111000000000000111100000000
χ192222222222222-1222-1-1-122-1-12-1-12-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-1-1-1-1-2-211-2-211111111112200-2-2-2-22200000011111111000000000000-1-1-1-100000000
χ202222222222222-1222-1-1-122-1-12-1-12-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-1-1-1-1-2-211-2-21111111111-2-2002222-2-2000000-1-1-1-1-1-1-1-1000000000000111100000000
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χ23222222222222-12-1-1-1222-1-122-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-2-2-1-1-1-111-2-211-2-211111111002200000022-2-2-2-2000000001111111100000000-1-1-1-10000
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χ2622222222-2-2-2-22-1222-1-1-122-1-12-1-12-1-2-2-2-21111-1-1-1-1-1-1-12-2111122-1-1-2-211-1-1-1-11111-2-200-2-222220000001111-1-1-1-100000000000011-1-100000000
χ2722222222-2-2-2-22-1222-1-1-122-1-12-1-12-1-2-2-2-21111-1-1-1-1-1-1-1-221111-2-21122-1-11111-1-1-1-12200-2-222-2-20000001111-1-1-1-1000000000000-1-11100000000
χ2822222222-2-2-2-22-1222-1-1-122-1-12-1-12-1-2-2-2-21111-1-1-1-1-1-1-1-221111-2-21122-1-11111-1-1-1-1-2-20022-2-222000000-1-1-1-1111100000000000011-1-100000000
χ2922222222-2-2-2-2-12-1-1-1222-1-122-122-1-11111-2-2-2-2-1-1-1-1-1-1-12-21111-1-12211-2-2-1-1-1-111110022000000-2-222-2-200000000-1-1-1-1111100000000-1-1110000
χ3022222222-2-2-2-2-12-1-1-1222-1-122-122-1-11111-2-2-2-2-1-1-1-1-1-1-12-21111-1-12211-2-2-1-1-1-1111100-2-200000022-2-222000000001111-1-1-1-10000000011-1-10000
χ3122222222-2-2-2-2-12-1-1-1222-1-122-122-1-11111-2-2-2-2-1-1-1-1-1-1-1-22111111-2-2-1-1221111-1-1-1-10022000000-2-2-2-222000000001111-1-1-1-100000000-1-1110000
χ3222222222-2-2-2-2-12-1-1-1222-1-122-122-1-11111-2-2-2-2-1-1-1-1-1-1-1-22111111-2-2-1-1221111-1-1-1-100-2-20000002222-2-200000000-1-1-1-111110000000011-1-10000
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χ392-222-2-22-22-22-2-12-111-2-2-2-1-12212-21-1-11-112-22-2-11111-1-100-11-11−i3i300−i3i300−i3−i3i3i3−i3−i3i3i3002i−2i0000002i−2i00000000000033−3−333−3−300000000−ii−ii0000
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χ462-222-2-22-2-22-22-12-111-2-2-2-1-12212-21-11-11-1-22-22-11111-1-1001-11-1−i3i300i3−i300−i3−i3i3i3i3i3−i3−i300−2i2i0000002i−2i000000000000−3−33333−3−300000000i−i−ii0000
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χ492-22-222-2-2000022-22-2-22-22-22-22-22-2200000000-22-22-22-2000000000000000000000000002-2000000002i−2i22-2-2000000002i−2i2i−2i2i−2i2i−2i000000000000
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χ924-444-4-44-44-44-4-2-2-222222-2-2-2-22-2221-22-22-22-221-1-1-1-111001-11-1−2i32i300−2i32i300i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000000000000000000000
χ934-444-4-44-44-44-4-2-2-222222-2-2-2-22-2221-22-22-22-221-1-1-1-111001-11-12i3−2i3002i3−2i300−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000000000000000000000
χ944-444-4-44-4-44-444-24-4-422244-2-2-4-22-4-2-44-442-22-2-22222-2-2002-22-20000000000000000000000000000000000000000000000000000000000000000
χ954-444-4-44-4-44-44-2-2-222222-2-2-2-22-22212-22-22-22-21-1-1-1-11100-11-11−2i32i3002i3−2i300i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000000000000000000000
χ964-444-4-44-4-44-44-2-2-222222-2-2-2-22-22212-22-22-22-21-1-1-1-11100-11-112i3−2i300−2i32i300−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000000000000000000000
χ974-44-444-4-400004-2-44-42-224-4-2242-2-4-2000000002-22-22-22000000000000000000000000004-40000000000-2-2220000000000000000000000000000
χ984-44-444-4-400004-2-44-42-224-4-2242-2-4-2000000002-22-22-2200000000000000000000000000-44000000000022-2-20000000000000000000000000000
χ994-44-444-4-40000-242-22-44-4-224-4-2-442-2000000002-22-22-220000000000000000000000000000000000004i−4i000000000000−2i2i−2i2i0000000000000000
χ1004-44-444-4-40000-242-22-44-4-224-4-2-442-2000000002-22-22-22000000000000000000000000000000000000−4i4i0000000000002i−2i2i−2i0000000000000000
χ1014-4-44-44-4400004-2-44-422-2-442-2-42-24-2000000002-222-22-200000000000000000000000000004-4000000000000-2-222000000000000000000000000
χ1024-4-44-44-4400004-2-44-422-2-442-2-42-24-2000000002-222-22-20000000000000000000000000000-4400000000000022-2-2000000000000000000000000
χ1034-4-44-44-440000-242-22-4-442-2-442-44-2-2000000002-222-22-200000000000000000000000000000000004-40000000000-22-2200000000000000000000
χ1044-4-44-44-440000-242-22-4-442-2-442-44-2-2000000002-222-22-20000000000000000000000000000000000-4400000000002-22-200000000000000000000
χ1054-4-4-44-4444-4-44-24-222-44422-4-4-24-4-2-2-222-24-4-44-222-2-22200-222-20000000000000000000000000000000000000000000000000000000000000000
χ1064-4-4-44-4444-4-44-2-2-2222-2-22222-2-22-21-222-2-222-21-1-111-1-1001-1-110023−230023−23−33−33−33−33000000000000000000000000000000000000000000000000
χ1074-4-4-44-4444-4-44-2-2-2222-2-22222-2-22-21-222-2-222-21-1-111-1-1001-1-1100−232300−23233−33−33−33−3000000000000000000000000000000000000000000000000
χ1084-4-4-44-444-444-4-24-222-44422-4-4-24-4-2-22-2-22-444-4-222-2-222002-2-220000000000000000000000000000000000000000000000000000000000000000
χ1094-4-4-44-444-444-4-2-2-2222-2-22222-2-22-212-2-222-2-221-1-111-1-100-111-10023−2300−2323−33−333−33−3000000000000000000000000000000000000000000000000
χ1104-4-4-44-444-444-4-2-2-2222-2-22222-2-22-212-2-222-2-221-1-111-1-100-111-100−23230023−233−33−3−33−33000000000000000000000000000000000000000000000000
χ111888-8-8-8-880000-4-444-4-44-4-44-44444-4200000000-2-22-222-20000000000000000000000000000000000000000000000000000000000000000000000
χ11288-888-8-8-80000-4-444-4-4-444-44-4-4444200000000-2-222-2-220000000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-888-8-80000-4-44-444-44-44-44-44-44200000000-22-22-22-20000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-88-880000-4-44-4444-44-44-444-4-4200000000-22-2-22-220000000000000000000000000000000000000000000000000000000000000000000000

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