Finite Group Databasebeta

← Group #11819112

Character table — Group #11819112

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444446666888888888888888888888881212121212121212121212121212121212121818181824242424242424242424242424243636363672
order1222222233666666666666663444466666661212121244444121212121212121212121212121212121212121212124444444444121212121212121244444412121212121212121212121222444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-111111111-1-1-1-11-1-1-1-1-1-1-1-1-11111-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-11111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111-1-1-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111
χ5111111111111111111111111111-1-1111111111111111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111111111-1-111-1-111-1-1-1-1-1-111-1-1-1
χ6111111111111111111111111111-1-1111111111111111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-111111111-1-1-1-1-11-1-111-1-111-1-1-1-1-1-1111
χ7111111111111111111111111111-1-111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-111-1-11111-1-1111
χ8111111111111111111111111111-1-111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-111111111-1-1-1
χ91111111111111111111111111-1-1111111111-1-1-1-11111-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-11111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-111-1
χ101111111111111111111111111-1-1111111111-1-1-1-11111-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-111-1-11
χ111111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-11-11111-1-1-1-1-1-11111-1-11
χ121111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111-1-1-1-11111111111-1-1-1-11111-1-111-1-111-1
χ131111111111111111111111111-1-1-1-11111111-1-1-1-111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-111-1-111-1-1-1-11
χ141111111111111111111111111-1-1-1-11111111-1-1-1-111111-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-1111111-1
χ151111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-111-1-111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1111-1-1-1-11111-1-11111-1
χ161111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-11
χ17222222222-12222-1-12-1-12-1-1-12-12222-1-1-1-1-1-1-1222200002-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1220000222200000000000002-1-1-1-1-1-1-1-1000000000
χ18222222222-12222-1-12-1-12-1-1-12-12222-1-1-1-1-1-1-1222200002-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-20000-2-2-2-20000000000000-211111111000000000
χ19222222222-12222-1-12-1-12-1-1-12-122-2-2-1-1-1-1-1-1-122220000-2-1-11111-2-2-2-2-1-1-1-111111111220000-2-2220000000000000-2-1-111-1-111000000000
χ20222222222-12222-1-12-1-12-1-1-12-122-2-2-1-1-1-1-1-1-122220000-2-1-11111-2-2-2-2-1-1-1-111111111-2-2000022-2-20000000000000211-1-111-1-1000000000
χ21222222222-12222-1-12-1-12-1-1-12-1-2-222-1-1-1-1-1-1-1-2-2-2-20000-211-1-11122-2-21111-1-1-1-1111122000022-2-20000000000000-2-1-1-1-11111000000000
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χ23222222222-12222-1-12-1-12-1-1-12-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-2000021111-1-1-2-22211111111-1-1-1-1220000-2-2-2-200000000000002-1-11111-1-1000000000
χ24222222222-12222-1-12-1-12-1-1-12-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-2000021111-1-1-2-22211111111-1-1-1-1-2-2000022220000000000000-211-1-1-1-111000000000
χ2522222222-12-1-1-1-122-122-1222-1-12222-1-1-1-1-1-1-1-1-1-1-122222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10022220000-1-1-1-1-1-1-1-100002000000000-1-1-1-100000
χ2622222222-12-1-1-1-122-122-1222-1-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2-2-20000111111110000-2000000000111100000
χ2722222222-12-1-1-1-122-122-1222-1-122-2-2-1-1-1-1-1-1-1-1-1-1-12222-222-2-2-2-21111-1-1-1-1111111110022-2-20000-1-1-1-1-1-1-1-10000-2000000000111100000
χ2822222222-12-1-1-1-122-122-1222-1-122-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-222-2-2-2-21111-1-1-1-11111111100-2-22200001111111100002000000000-1-1-1-100000
χ2922222222-12-1-1-1-122-122-1222-1-1-2-222-1-1-1-1-1-1-111112222-2-2-222-2-2-1-1111111-1-1-1-1111100-2-2220000-1-1-1-111110000-2000000000-1-11100000
χ3022222222-12-1-1-1-122-122-1222-1-1-2-222-1-1-1-1-1-1-11111-2-2-2-2-2-2-222-2-2-1-1111111-1-1-1-111110022-2-200001111-1-1-1-10000200000000011-1-100000
χ3122222222-12-1-1-1-122-122-1222-1-1-2-2-2-2-1-1-1-1-1-1-1111122222-2-2-2-22211-1-111111111-1-1-1-100-2-2-2-20000-1-1-1-111110000200000000011-1-100000
χ3222222222-12-1-1-1-122-122-1222-1-1-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-22-2-2-2-22211-1-111111111-1-1-1-100222200001111-1-1-1-10000-2000000000-1-11100000
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χ4122-2-2-2-222222-2-222-2-2-2-22-222-2200002-2-222-2-2000022-2-2000000000000000000000002i−2i0000000022-2-200002i−2i−2i2i002i−2i000000000000000
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χ4322-2-2-2-222222-2-222-2-2-2-22-222-2200002-2-222-2-20000-2-222000000000000000000000002i−2i00000000-2-2220000−2i2i2i−2i002i−2i000000000000000
χ4422-2-2-2-222222-2-222-2-2-2-22-222-2200002-2-222-2-20000-2-22200000000000000000000000−2i2i00000000-2-22200002i−2i−2i2i00−2i2i000000000000000
χ452-22-2-22-2222-2-2-2-2-2-22222-2-2222002-2-2-2-22-22200002-22-20002-2002-200000022-2-2000000002-200002-22-20000000000000000002-20000000
χ462-22-2-22-2222-2-2-2-2-2-22222-2-2222002-2-2-2-22-2220000-22-220002-2002-200000022-2-200000000-220000-22-22000000000000000000-220000000
χ472-22-2-22-2222-2-2-2-2-2-22222-2-222200-22-2-2-22-22200002-22-2000-2200-22000000-2-22200000000-2200002-22-2000000000000000000-220000000
χ482-22-2-22-2222-2-2-2-2-2-22222-2-222200-22-2-2-22-2220000-22-22000-2200-22000000-2-222000000002-20000-22-220000000000000000002-20000000
χ492-22-2-22-22-121111-2-2-122-1-2-22-1-1002-2111-11-1-1−i3i3−i3i32-22-20002-200-11−i3i3−i3i3−i3i3-1-111−i3−i3i3i300002-20000-11-11−i3i3−i3i300000000000000-11−i3i300000
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χ512-22-2-22-22-121111-2-2-122-1-2-22-1-1002-2111-11-1-1i3−i3i3−i32-22-20002-200-11i3−i3i3−i3i3−i3-1-111i3i3−i3−i300002-20000-11-11i3−i3i3−i300000000000000-11i3−i300000
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χ542-22-2-22-22-121111-2-2-122-1-2-22-1-100-22111-11-1-1−i3i3−i3i3-22-22000-22001-1i3−i3−i3i3−i3i311-1-1i3i3−i3−i300002-200001-11-1i3−i3i3−i300000000000000-11−i3i300000
χ552-22-2-22-22-121111-2-2-122-1-2-22-1-100-22111-11-1-1i3−i3i3−i32-22-2000-22001-1−i3i3i3−i3i3−i311-1-1−i3−i3i3i30000-220000-11-11i3−i3i3−i3000000000000001-1−i3i300000
χ562-22-2-22-22-121111-2-2-122-1-2-22-1-100-22111-11-1-1i3−i3i3−i3-22-22000-22001-1−i3i3i3−i3i3−i311-1-1−i3−i3i3i300002-200001-11-1−i3i3−i3i300000000000000-11i3−i300000
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χ934-44-4-44-44-2-2222222-2-2-2-222-2-21004-4-1-1-11-1112i3−2i32i3−2i30000000-2200-222i3−2i3−i3i3−i3i311-1-1−i3−i3i3i300000000000000000000000000000000000000000
χ944-44-4-44-44-2-2222222-2-2-2-222-2-2100-44-1-1-11-111−2i32i3−2i32i300000002-2002-22i3−2i3i3−i3i3−i3-1-111−i3−i3i3i300000000000000000000000000000000000000000
χ954-44-4-44-44-2-2222222-2-2-2-222-2-2100-44-1-1-11-1112i3−2i32i3−2i300000002-2002-2−2i32i3−i3i3−i3i3-1-111i3i3−i3−i300000000000000000000000000000000000000000
χ964-4-444-4-444-2-444-42-2-4224-22-2-4-200002-2-2-222200000000000000000000000000000000000004i−4i000000000000000000−2i2i0000000000000
χ974-4-444-4-444-2-444-42-2-4224-22-2-4-200002-2-2-22220000000000000000000000000000000000000−4i4i0000000000000000002i−2i0000000000000
χ984-4-444-4-44-242-2-22-442-4-4-24-442-200002-2-2-222200004-4-44000000000000000000000000000000000-222-2000000000000000000000000000
χ994-4-444-4-44-242-2-22-442-4-4-24-442-200002-2-2-22220000-444-40000000000000000000000000000000002-2-22000000000000000000000000000
χ1004-4-4-4444-444-44-44-44-4-44-4-44-4440000-44-4-44-44000000000000000000000000000000000000000000000000000000000000000000000000
χ1014-4-4-4444-44-2-44-442-2-42-2-42-224-200002-222-22-2000000000000000000000000000000000000000000000000000000000000023−23000000000
χ1024-4-4-4444-44-2-44-442-2-42-2-42-224-200002-222-22-20000000000000000000000000000000000000000000000000000000000000−2323000000000
χ1034-4-4-4444-4-242-22-2-442-442-44-4-2-200002-222-22-2000000000000000000000000000000000000000000000−2i32i32i3−2i300000000000000000000000
χ1044-4-4-4444-4-242-22-2-442-442-44-4-2-200002-222-22-20000000000000000000000000000000000000000000002i3−2i3−2i32i300000000000000000000000
χ10588-88-88-8-8-4-4-44-44-4444-44-444-4200002-22-2-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-8-888-4-4-444-4-44444-44-4-44200002-2-222-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-8-888-8-88-4-44-4-444-4444-4-44-4420000-2222-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-8-8888-8-4-44-44-44-444-444-44-420000-22-2-22-22000000000000000000000000000000000000000000000000000000000000000000000000

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