Finite Group Databasebeta

← Group #11817828

Character table — Group #11817828

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444446666888888888888888888888881212121212121212121212121212121212121818181824242424242424242424242424243636363672
order122222223366666666666666344446666666121212124444412121212121212121212121212121212121212121212224444444412121212121212124444246666121212121212121244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1111111111111-1-1-1-11-111-1-1-1-1-1-1-1-111-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111-1-1-1-1-1-1-1
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
χ5111111111111111111111111111-1-11111111-1-1-1-11111-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1
χ6111111111111111111111111111-1-11111111-1-1-1-11111-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-111-1-1111
χ7111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1-11-11111-1-1-1-111-1-1-1-1111
χ8111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111111111-1-11111-1-1-1-111-1-1-1
χ91111111111111111111111111-1-111111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-1-11-1-11111-1-1-1-1-1-111-1-11
χ101111111111111111111111111-1-111111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111111111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1
χ111111111111111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-111-1
χ121111111111111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-111111111-1-11
χ131111111111111111111111111-1-1-1-11111111-1-1-1-111111-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11111-1-111-1-1-1-11111-1
χ141111111111111111111111111-1-1-1-11111111-1-1-1-111111-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-111-1-111-1-1-1-1-1-11
χ151111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-111111111-1-1-1-111-1-111-1-111-1-1-1-11
χ161111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-11-1-1-1-111-1-111111111-1
χ17222222222-12222-1-1-1-12-1-12-12-12222-1-1-1-1-1-1-1222200002-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222200000000000000000200-1-1-1-1-1-1-1-10000000
χ18222222222-12222-1-1-1-12-1-12-12-12222-1-1-1-1-1-1-1222200002-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-200000000000000000-200111111110000000
χ19222222222-12222-1-1-1-12-1-12-12-122-2-2-1-1-1-1-1-1-1-2-2-2-20000-2-1-1-2-2221111-1-1-1-11111111122-2-22200000000000000000-200-1-11111-1-10000000
χ20222222222-12222-1-1-1-12-1-12-12-122-2-2-1-1-1-1-1-1-1-2-2-2-20000-2-1-1-2-2221111-1-1-1-111111111-2-222-2-20000000000000000020011-1-1-1-1110000000
χ21222222222-12222-1-1-1-12-1-12-12-1-2-222-1-1-1-1-1-1-122220000-211-2-2-2-2-1-1111111-1-1-1-1111122-2-2-2-200000000000000000200-1-1-1-111110000000
χ22222222222-12222-1-1-1-12-1-12-12-1-2-222-1-1-1-1-1-1-122220000-211-2-2-2-2-1-1111111-1-1-1-11111-2-2222200000000000000000-2001111-1-1-1-10000000
χ23222222222-12222-1-1-1-12-1-12-12-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-2000021122-2-211-1-111111111-1-1-1-12222-2-200000000000000000-200-1-111-1-1110000000
χ24222222222-12222-1-1-1-12-1-12-12-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-2000021122-2-211-1-111111111-1-1-1-1-2-2-2-2220000000000000000020011-1-111-1-10000000
χ2522222222-12-1-1-1-12222-122-12-1-12222-1-1-1-1-1-1-1-1-1-1-12222222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000002222-1-1-1-1-1-1-1-1000020-1-100000000-1-100000
χ2622222222-12-1-1-1-12222-122-12-1-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000-2-2-2-2111111110000-2011000000001100000
χ2722222222-12-1-1-1-12222-122-12-1-122-2-2-1-1-1-1-1-1-111112222-22211-1-1-2-2-2-2-1-1-1-11111111100000022-2-2-1-1-1-111110000-201100000000-1-100000
χ2822222222-12-1-1-1-12222-122-12-1-122-2-2-1-1-1-1-1-1-11111-2-2-2-2-22211-1-1-2-2-2-2-1-1-1-111111111000000-2-2221111-1-1-1-1000020-1-1000000001100000
χ2922222222-12-1-1-1-12222-122-12-1-1-2-222-1-1-1-1-1-1-1-1-1-1-12222-2-2-2111122-2-21111-1-1-1-11111000000-2-222-1-1-1-1-1-1-1-10000-2011000000001100000
χ3022222222-12-1-1-1-12222-122-12-1-1-2-222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2111122-2-21111-1-1-1-1111100000022-2-211111111000020-1-100000000-1-100000
χ3122222222-12-1-1-1-12222-122-12-1-1-2-2-2-2-1-1-1-1-1-1-1111122222-2-2-1-111-2-22211111111-1-1-1-1000000-2-2-2-2-1-1-1-11111000020-1-1000000001100000
χ3222222222-12-1-1-1-12222-122-12-1-1-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-22-2-2-1-111-2-22211111111-1-1-1-100000022221111-1-1-1-10000-201100000000-1-100000
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χ35222-2-22-2-22222-2-22-2-2-222-2-22-22000022-2-2-2-22000000000000000000000000000000000-2200002i−2i00002i2i−2i−2i−2i−2i2i2i00000000-22000000000
χ36222-2-22-2-22222-2-22-2-2-222-2-22-22000022-2-2-2-22000000000000000000000000000000000-220000−2i2i0000−2i−2i2i2i2i2i−2i−2i00000000-22000000000
χ3722-2-2-2-222222-22-2222-2-2-2-2-2-22200002-222-2-2-200002i2i−2i−2i000000000000000000000002-2000000002i2i−2i−2i0000000000002-2000000002i−2i000
χ3822-2-2-2-222222-22-2222-2-2-2-2-2-22200002-222-2-2-200002i2i−2i−2i00000000000000000000000-22000000002i2i−2i−2i000000000000-2200000000−2i2i000
χ3922-2-2-2-222222-22-2222-2-2-2-2-2-22200002-222-2-2-20000−2i−2i2i2i000000000000000000000002-200000000−2i−2i2i2i0000000000002-200000000−2i2i000
χ4022-2-2-2-222222-22-2222-2-2-2-2-2-22200002-222-2-2-20000−2i−2i2i2i00000000000000000000000-2200000000−2i−2i2i2i000000000000-22000000002i−2i000
χ412-222-2-22-222-22-22-22-2-2-222-2-2220000-222-22-2-200002i−2i2i−2i0000000000000000000000000002i−2i00002i−2i2i−2i00002-22-200000000002i−2i0000000
χ422-222-2-22-222-22-22-22-2-2-222-2-2220000-222-22-2-200002i−2i2i−2i000000000000000000000000000−2i2i00002i−2i2i−2i0000-22-220000000000−2i2i0000000
χ432-222-2-22-222-22-22-22-2-2-222-2-2220000-222-22-2-20000−2i2i−2i2i0000000000000000000000000002i−2i0000−2i2i−2i2i0000-22-2200000000002i−2i0000000
χ442-222-2-22-222-22-22-22-2-2-222-2-2220000-222-22-2-20000−2i2i−2i2i000000000000000000000000000−2i2i0000−2i2i−2i2i00002-22-20000000000−2i2i0000000
χ452-22-22-2-2222-222-2-2-222-22-22-2-22002i−2i-22-22-22-22i2i−2i−2i000000000002i−2i0000002i2i−2i−2i00000000000000000000002i−2i−2i2i00000000000000002-20
χ462-22-22-2-2222-222-2-2-222-22-22-2-22002i−2i-22-22-22-22i2i−2i−2i000000000002i−2i0000002i2i−2i−2i0000000000000000000000−2i2i2i−2i0000000000000000-220
χ472-22-22-2-2222-222-2-2-222-22-22-2-2200−2i2i-22-22-22-2−2i−2i2i2i00000000000−2i2i000000−2i−2i2i2i00000000000000000000002i−2i−2i2i0000000000000000-220
χ482-22-22-2-2222-222-2-2-222-22-22-2-2200−2i2i-22-22-22-2−2i−2i2i2i00000000000−2i2i000000−2i−2i2i2i0000000000000000000000−2i2i2i−2i00000000000000002-20
χ492-2-2-2222-222-2-2-2-2-22-222-2-222222-200-2-22-2-22200002-2-2202-2002-2000022-2-2000000000000002-2002-2-22000000000000000000002-200000
χ502-2-2-2222-222-2-2-2-2-22-222-2-222222-200-2-22-2-2220000-222-202-2002-2000022-2-200000000000000-2200-222-200000000000000000000-2200000
χ512-2-2-2222-222-2-2-2-2-22-222-2-22222-2200-2-22-2-22200002-2-220-2200-220000-2-22200000000000000-22002-2-2200000000000000000000-2200000
χ522-2-2-2222-222-2-2-2-2-22-222-2-22222-2200-2-22-2-2220000-222-20-2200-220000-2-222000000000000002-200-222-2000000000000000000002-200000
χ532-2-2-2222-2-121111-22-22-1-2-2-12-1-12-20011-111-1-1−i3i3−i3i32-2-2202-2−i3i3-110000-1-111−i3i3−i3i3−i3−i3i3i30000002-200-111-1−i3i3−i3i3000000−i3i300000000-1100000
χ542-2-2-2222-2-121111-22-22-1-2-2-12-1-12-20011-111-1-1−i3i3−i3i3-222-202-2−i3i3-110000-1-111−i3i3−i3i3−i3−i3i3i3000000-22001-1-11i3−i3i3−i3000000i3−i3000000001-100000
χ552-2-2-2222-2-121111-22-22-1-2-2-12-1-12-20011-111-1-1i3−i3i3−i32-2-2202-2i3−i3-110000-1-111i3−i3i3−i3i3i3−i3−i30000002-200-111-1i3−i3i3−i3000000i3−i300000000-1100000
χ562-2-2-2222-2-121111-22-22-1-2-2-12-1-12-20011-111-1-1i3−i3i3−i3-222-202-2i3−i3-110000-1-111i3−i3i3−i3i3i3−i3−i3000000-22001-1-11−i3i3−i3i3000000−i3i3000000001-100000
χ572-2-2-2222-2-121111-22-22-1-2-2-12-1-1-220011-111-1-1−i3i3−i3i32-2-220-22i3−i31-1000011-1-1−i3i3−i3i3i3i3−i3−i3000000-2200-111-1−i3i3−i3i3000000i3−i3000000001-100000
χ582-2-2-2222-2-121111-22-22-1-2-2-12-1-1-220011-111-1-1−i3i3−i3i3-222-20-22i3−i31-1000011-1-1−i3i3−i3i3i3i3−i3−i30000002-2001-1-11i3−i3i3−i3000000−i3i300000000-1100000
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χ6144444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2144441111111-2-2-2-200004-2-2-2-2-2-2-2-2-2-211111111111100000000000000000000000000000000000000000
χ6244444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2144-4-4111111122220000-4-2-222-2-222221111-1-1-1-1-1-1-1-100000000000000000000000000000000000000000
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χ954-4-44-44-444-2-4-44422-2242-2-4-2-4-20000222-2-22-200000000000000000000000000000000000000000000000000000000000−2i32i300000000000
χ964-4-44-44-444-2-4-44422-2242-2-4-2-4-20000222-2-22-2000000000000000000000000000000000000000000000000000000000002i3−2i300000000000
χ974-4-44-44-44-2422-2-2-4-44-4-2-44242-20000222-2-22-200000000000000000000000000000000000000000000023−23−232300000000000000000000000
χ984-4-44-44-44-2422-2-2-4-44-4-2-44242-20000222-2-22-2000000000000000000000000000000000000000000000−232323−2300000000000000000000000
χ994-4-4-4444-44-2-4-4-4-42-22-24224-24-24-40022-222-2-2000000000-22004-40000-2-2220000000000000000000000000000000000000000000000000
χ1004-4-4-4444-44-2-4-4-4-42-22-24224-24-2-440022-222-2-20000000002-200-44000022-2-20000000000000000000000000000000000000000000000000
χ1014-4-4-4444-4-2-222222-22-2-222-2-2-214-400-1-11-1-111−2i32i3−2i32i300000-22−2i32i3-22000011-1-1i3−i3i3−i3i3i3−i3−i300000000000000000000000000000000000000000
χ1024-4-4-4444-4-2-222222-22-2-222-2-2-214-400-1-11-1-1112i3−2i32i3−2i300000-222i3−2i3-22000011-1-1−i3i3−i3i3−i3−i3i3i300000000000000000000000000000000000000000
χ1034-4-4-4444-4-2-222222-22-2-222-2-2-21-4400-1-11-1-111−2i32i3−2i32i3000002-22i3−2i32-20000-1-111i3−i3i3−i3−i3−i3i3i300000000000000000000000000000000000000000
χ1044-4-4-4444-4-2-222222-22-2-222-2-2-21-4400-1-11-1-1112i3−2i32i3−2i3000002-2−2i32i32-20000-1-111−i3i3−i3i3i3i3−i3−i300000000000000000000000000000000000000000
χ105888-8-88-8-8-4-4-4-444-4444-4-444-442000022-2-2-2-22000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-8-888-4-4-44-44-4-4-4444444-4200002-222-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-888-8-88-8-4-44-44-44-4444-4-444-420000-222-22-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-88-88-88-4-444-4-444-44-44-44-4420000-2-2-222-22000000000000000000000000000000000000000000000000000000000000000000000000

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