Finite Group Databasebeta

← Group #11812890

Character table — Group #11812890

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444446666888888888888888888888881212121212121212121212121212121212121818181824242424242424242424242424243636363672
order122222223366666666666666344446666666121212124444266666666121212121212121212121212121222444444441212121212121212222244661212121212121212121244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-111111111-1-1-1-11-1-1-111-1-111-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-11111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-11111-1-1-1-1-1
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
χ5111111111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-111-1-1111111111111-1-111-1-1-1-1-1-111-1-1-1-111-1
χ6111111111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-11-1-1-1-111-1-1-1-11111-1-11
χ7111111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-11111-1-111-1-11
χ8111111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1111111-1-111-1-111-1
χ91111111111111111111111111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1111-1-11111-1-1-1-1-1-1111
χ101111111111111111111111111-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1
χ111111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1
χ121111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-111111111-1-1-1-1-1-1-1-11-1-1-111-1-1-1-11111-1-1111
χ131111111111111111111111111-1-1-1-11111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-1-1-1-11-11111-1-1-1-1-1-1111111-1
χ141111111111111111111111111-1-1-1-11111111-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-11111-1-111-1-1-1-1-1-11
χ151111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-11111-1-111-1-1-1-111-1-111-1-1-1-11
χ161111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-11111-1
χ17222222222-122-1-1-122-1-122-12-1-12222-1-1-1-1-1-1-122220000222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1220000222200000000000002-1-100-1-100-1-1-1-100000
χ18222222222-122-1-1-122-1-122-12-1-12222-1-1-1-1-1-1-122220000222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-2-20000-2-2-2-20000000000000-211001100111100000
χ19222222222-122-1-1-122-1-122-12-1-122-2-2-1-1-1-1-1-1-122220000-2-2-2111111-1-1-2-211-1-1-1-1111122000022-2-20000000000000-2-1-1001100-1-11100000
χ20222222222-122-1-1-122-1-122-12-1-122-2-2-1-1-1-1-1-1-122220000-2-2-2111111-1-1-2-211-1-1-1-11111-2-20000-2-222000000000000021100-1-10011-1-100000
χ21222222222-122-1-1-122-1-122-12-1-1-2-222-1-1-1-1-1-1-1-2-2-2-20000-2-2-21111111122-1-11111-1-1-1-1220000-2-2-2-200000000000002-1-100-1-100111100000
χ22222222222-122-1-1-122-1-122-12-1-1-2-222-1-1-1-1-1-1-1-2-2-2-20000-2-2-21111111122-1-11111-1-1-1-1-2-2000022220000000000000-211001100-1-1-1-100000
χ23222222222-122-1-1-122-1-122-12-1-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-20000222-1-1-1-1-1-111-2-21111111111220000-2-2220000000000000-2-1-100110011-1-100000
χ24222222222-122-1-1-122-1-122-12-1-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-20000222-1-1-1-1-1-111-2-21111111111-2-2000022-2-2000000000000021100-1-100-1-11100000
χ2522222222-12-1-1222-1-122-1-12-12-12222-1-1-1-1-1-1-1-1-1-1-122222-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-10022220000-1-1-1-1-1-1-1-100002000-1-100-1-1000000000
χ2622222222-12-1-1222-1-122-1-12-12-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-22-1-122-1-1-1-122-1-122-1-1-1-1-1-1-1-100-2-2-2-20000111111110000-2000110011000000000
χ2722222222-12-1-1222-1-122-1-12-12-122-2-2-1-1-1-1-1-1-1-1-1-1-12222-211-2-211112211-2-2-1-1-1-111110022-2-20000-1-1-1-1-1-1-1-10000-2000110011000000000
χ2822222222-12-1-1222-1-122-1-12-12-122-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-211-2-211112211-2-2-1-1-1-1111100-2-22200001111111100002000-1-100-1-1000000000
χ2922222222-12-1-1222-1-122-1-12-12-1-2-222-1-1-1-1-1-1-111112222-211-2-21111-2-2-1-1221111-1-1-1-100-2-22200001111-1-1-1-10000-20001100-1-1000000000
χ3022222222-12-1-1222-1-122-1-12-12-1-2-222-1-1-1-1-1-1-11111-2-2-2-2-211-2-21111-2-2-1-1221111-1-1-1-10022-2-20000-1-1-1-1111100002000-1-10011000000000
χ3122222222-12-1-1222-1-122-1-12-12-1-2-2-2-2-1-1-1-1-1-1-1111122222-1-122-1-1-1-1-2-211-2-21111111100-2-2-2-200001111-1-1-1-100002000-1-10011000000000
χ3222222222-12-1-1222-1-122-1-12-12-1-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-22-1-122-1-1-1-1-2-211-2-2111111110022220000-1-1-1-111110000-20001100-1-1000000000
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χ3522-2-2-222-2222-222-22-22-22-2-2-2-22000022-2-2-22-20000−2i−2i2i2i000000000000000000000000000002i−2i000000−2i−2i2i2i-2-22200000000002i−2i0000000
χ3622-2-2-222-2222-222-22-22-22-2-2-2-22000022-2-2-22-20000−2i−2i2i2i00000000000000000000000000000−2i2i000000−2i−2i2i2i22-2-20000000000−2i2i0000000
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χ392-222-22-2-222-22-2-2-22222-2-22-2-2200-22-2-22-2-22200002i−2i2i−2i00000000000-22-220000-2-2220000−2i2i000000002i−2i2i−2i000000000000−2i2i000000000
χ402-222-22-2-222-22-2-2-22222-2-22-2-2200-22-2-22-2-2220000−2i2i−2i2i00000000000-22-220000-2-22200002i−2i00000000−2i2i−2i2i0000000000002i−2i000000000
χ412-222-22-2-2-121-1-2-2-2-1-1221121-2-1002-211-111-1-1−i3−i3i3i32i−2i2i−2i0−i3i300−i3−i3i3i300-112-2−i3−i3i3i3-1-11100002i−2i000033−3−3−ii−ii000000003−300−ii000000000
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χ432-222-22-2-2-121-1-2-2-2-1-1221121-2-1002-211-111-1-1i3i3−i3−i32i−2i2i−2i0i3−i300i3i3−i3−i300-112-2i3i3−i3−i3-1-11100002i−2i0000−3−333−ii−ii00000000−3300−ii000000000
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χ482-222-22-2-2-121-1-2-2-2-1-1221121-2-100-2211-111-1-1i3i3−i3−i3−2i2i−2i2i0−i3i300−i3−i3i3i3001-1-22i3i3−i3−i311-1-100002i−2i000033−3−3i−ii−i00000000−3300−ii000000000
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χ522-22-2-2-22222-2-22-2-2-22-222-2-222200002-2-22-2-220000000000000000000000000000000-22-22000000-22-2200002-22-200-22000000000000000
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χ542-2-222-22-222-222-22-2-2-2-2222-2-222i−2i002-22-22-2-22i−2i2i−2i00000000000002i−2i00002i−2i2i−2i0000000000000000000000-222-20000000000000000−2i2i0
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χ944-4-444-44-44-2-44-22-2-4-42244-2-42-2−4i4i00-22-22-222−4i4i−4i4i00000000000002i−2i00002i−2i2i−2i000000000000000000000000000000000000000000000
χ954-4-444-44-4-242-24-4422-4-4-2-242-4-24i−4i00-22-22-222−2i2i−2i2i00000000000004i−4i0000−2i2i−2i2i000000000000000000000000000000000000000000000
χ964-4-444-44-4-242-24-4422-4-4-2-242-4-2−4i4i00-22-22-2222i−2i2i−2i0000000000000−4i4i00002i−2i2i−2i000000000000000000000000000000000000000000000
χ974-4-444-44-4-2-22-2-22-22222-2-2-22214i−4i001-11-11-1-1−2i2i−2i2i0000000003-3-33−2i2i0000i−ii−i−3i3i3i−3i00000000000000000000000000000000000000000
χ984-4-444-44-4-2-22-2-22-22222-2-2-22214i−4i001-11-11-1-1−2i2i−2i2i000000000-333-3−2i2i0000i−ii−i3i−3i−3i3i00000000000000000000000000000000000000000
χ994-4-444-44-4-2-22-2-22-22222-2-2-2221−4i4i001-11-11-1-12i−2i2i−2i0000000003-3-332i−2i0000−ii−ii3i−3i−3i3i00000000000000000000000000000000000000000
χ1004-4-444-44-4-2-22-2-22-22222-2-2-2221−4i4i001-11-11-1-12i−2i2i−2i000000000-333-32i−2i0000−ii−ii−3i3i3i−3i00000000000000000000000000000000000000000
χ1014-4-4-444-444-2-4-422-24-4-22-4424-2-20000222-2-2-220000000000000000000000000000000000000004-4000000000000000000000000-2200000
χ1024-4-4-444-444-2-4-422-24-4-22-4424-2-20000222-2-2-22000000000000000000000000000000000000000-440000000000000000000000002-200000
χ1034-4-4-444-44-2422-4-44-224-42-2-4-24-20000222-2-2-2200004-4-440000000000000000000000000000000000000-222-200000000000000000000000
χ1044-4-4-444-44-2422-4-44-224-42-2-4-24-20000222-2-2-220000-444-400000000000000000000000000000000000002-2-2200000000000000000000000
χ105888-88-8-8-8-4-4-444-4-44-44-44-444420000-22-2-22-22000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-888-8-4-4-44-4-44-44-44-444442000022-2-2-22-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-8-888-4-444-4444-44-4-444-4-4200002-2-22-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-8-888-88-4-44444-4-44-444-44-4-420000-2-2-2222-2000000000000000000000000000000000000000000000000000000000000000000000000

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