Finite Group Databasebeta

← Group #11813000

Character table — Group #11813000

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444446666888888888888888888888881212121212121212121212121212121212121818181824242424242424242424242424243636363672
order1222222233666666666666662234466666666666444426666666666666612121212121212124444444444121212121212121222224412121212121212121212121244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-111111111-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1
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
χ5111111111111111111111111111-1-1111111111111111-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-1-1-1-11111-1-1-1-111-1-11
χ6111111111111111111111111111-1-1111111111111111-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-111-1
χ7111111111111111111111111111-1-111111111111-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111-1
χ8111111111111111111111111111-1-111111111111-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-11111-1-1-1-1111111-1-11
χ9111111111111111111111111-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-11111-1-1-1-11111-1-111-1-111-1-111-1-111-1-1-1
χ10111111111111111111111111-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1111-1-1-1-111-1-111-1-1111
χ11111111111111111111111111-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1111111-1-1-1-1-1-11111-1-1-1-11-1-1-11111-1-111-1-1-1-1111
χ12111111111111111111111111-1-1111-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-1-1-11111111111-1-111-1-111-1-11111-1-1-1
χ13111111111111111111111111-1-11-1-1-1-1-1-1111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-1111111-1
χ14111111111111111111111111-1-11-1-1-1-1-1-1111111111111-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1111111-1-111-1-11111-1-1-1-1-1-11
χ15111111111111111111111111-1-11-1-1-1-1-1-11111111-1-1-1-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111111111-1-111-1-111-1-1-1-111-1-1-1-11
χ16111111111111111111111111-1-11-1-1-1-1-1-11111111-1-1-1-11-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-11111-1-1-1-1-1111-1-1-1-11111-1-11111-1
χ17222222222-1222-1-1-1222-1-1-1-1222-1222222-1-1-1-1-1-1-100002-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-10022002222000000000000020000-1-1-1-1-1-1-1-100000
χ18222222222-1222-1-1-1222-1-1-1-1222-1222222-1-1-1-1-1-1-100002-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-100-2-200-2-2-2-20000000000000-200001111111100000
χ19222222222-1222-1-1-1222-1-1-1-1222-1-2-22222-1-1-1-1-1-1-10000-2-1-1-2-211-1-1-1-11111-2-2111111002200-2-2-2-2000000000000020000-1-1-1-1111100000
χ20222222222-1222-1-1-1222-1-1-1-1222-1-2-22222-1-1-1-1-1-1-10000-2-1-1-2-211-1-1-1-11111-2-211111100-2-20022220000000000000-200001111-1-1-1-100000
χ21222222222-1222-1-1-1222-1-1-1-12-2-2-122-2-2-2-2-1-1-1-1-1-1-10000-211-2-2111111111122-1-1-1-1-1-100220022-2-20000000000000-20000-1-111-1-11100000
χ22222222222-1222-1-1-1222-1-1-1-12-2-2-122-2-2-2-2-1-1-1-1-1-1-10000-211-2-2111111111122-1-1-1-1-1-100-2-200-2-22200000000000002000011-1-111-1-100000
χ23222222222-1222-1-1-1222-1-1-1-12-2-2-1-2-2-2-2-2-2-1-1-1-1-1-1-1000021122-1-11111-1-1-1-1-2-2111111002200-2-2220000000000000-20000-1-11111-1-100000
χ24222222222-1222-1-1-1222-1-1-1-12-2-2-1-2-2-2-2-2-2-1-1-1-1-1-1-1000021122-1-11111-1-1-1-1-2-211111100-2-20022-2-200000000000002000011-1-1-1-11100000
χ2522222222-12-1-1-1222-1-1-12222-122-122-1-1-1-1-1-1-1-1-1-1-12222222-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-12200220000-1-1-1-1-1-1-1-1000020-1-1-1-10000000000000
χ2622222222-12-1-1-1222-1-1-12222-122-122-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-200-2-20000111111110000-2011110000000000000
χ2722222222-12-1-1-1222-1-1-12222-122-1-2-2-1-1-1-1-1-1-1-1-1-1-12222-22211-2-2-1-1-1-1111111-2-21111-2-200220000-1-1-1-1-1-1-1-10000-2011110000000000000
χ2822222222-12-1-1-1222-1-1-12222-122-1-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-22211-2-2-1-1-1-1111111-2-211112200-2-2000011111111000020-1-1-1-10000000000000
χ2922222222-12-1-1-1222-1-1-12222-1-2-2-1221111-1-1-1-1-1-1-12222-2-2-211-2-211111111-1-122-1-1-1-12200-2-20000-1-1-1-111110000-20-1-1110000000000000
χ3022222222-12-1-1-1222-1-1-12222-1-2-2-1221111-1-1-1-1-1-1-1-2-2-2-2-2-2-211-2-211111111-1-122-1-1-1-1-2-2002200001111-1-1-1-100002011-1-10000000000000
χ3122222222-12-1-1-1222-1-1-12222-1-2-2-1-2-21111-1-1-1-1-1-1-122222-2-2-1-1221111-1-1-1-111-2-21111-2-200-2-20000-1-1-1-1111100002011-1-10000000000000
χ3222222222-12-1-1-1222-1-1-12222-1-2-2-1-2-21111-1-1-1-1-1-1-1-2-2-2-22-2-2-1-1221111-1-1-1-111-2-2111122002200001111-1-1-1-10000-20-1-1110000000000000
χ33222-2-22-2-2222-2-222-2-22-22-2-2-22002000000222-2-2-2-222-2-200000000000000000000000002i−2i00000022-2-2000000000000002i−2i0000002i−2i000
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χ35222-2-22-2-2222-2-222-2-22-22-2-2-22002000000222-2-2-2-2-2-22200000000000000000000000002i−2i000000-2-222000000000000002i−2i000000−2i2i000
χ36222-2-22-2-2222-2-222-2-22-22-2-2-22002000000222-2-2-2-2-2-2220000000000000000000000000−2i2i000000-2-22200000000000000−2i2i0000002i−2i000
χ3722-22-2-22-22222-22-2-22-2-2-22-22-20022-200002-2-22-2-222i−2i2i−2i0000000000000002-22-222-2-22i−2i000000002i−2i2i−2i00000000002i−2i000000000000000
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χ4022-22-2-22-22222-22-2-22-2-2-22-22-2002-2200002-2-22-2-22−2i2i−2i2i000000000000000-22-22-2-2222i−2i00000000−2i2i−2i2i00000000002i−2i000000000000000
χ4122-22-2-22-2-12-1-112-2-2-111-22-22100-12-2−i3−i3i3i3-111-111-12i−2i2i−2i000−i3i300−i3−i3i3i3−i3−i3i3i3-112-2-1-1112i−2i00000000−ii−ii33−3−3000000−ii3−30000000000000
χ4222-22-2-22-2-12-1-112-2-2-111-22-22100-12-2−i3−i3i3i3-111-111-1−2i2i−2i2i000−i3i300−i3−i3i3i3−i3−i3i3i3-112-2-1-111−2i2i00000000i−ii−i−3−333000000i−i−330000000000000
χ4322-22-2-22-2-12-1-112-2-2-111-22-22100-12-2i3i3−i3−i3-111-111-12i−2i2i−2i000i3−i300i3i3−i3−i3i3i3−i3−i3-112-2-1-1112i−2i00000000−ii−ii−3−333000000−ii−330000000000000
χ4422-22-2-22-2-12-1-112-2-2-111-22-22100-12-2i3i3−i3−i3-111-111-1−2i2i−2i2i000i3−i300i3i3−i3−i3i3i3−i3−i3-112-2-1-111−2i2i00000000i−ii−i33−3−3000000i−i3−30000000000000
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χ4622-22-2-22-2-12-1-112-2-2-111-22-22100-1-22−i3−i3i3i3-111-111-1−2i2i−2i2i000i3−i300−i3−i3i3i3i3i3−i3−i31-1-2211-1-12i−2i00000000i−ii−i−3−333000000−ii3−30000000000000
χ4722-22-2-22-2-12-1-112-2-2-111-22-22100-1-22i3i3−i3−i3-111-111-12i−2i2i−2i000−i3i300i3i3−i3−i3−i3−i3i3i31-1-2211-1-1−2i2i00000000−ii−ii−3−333000000i−i3−30000000000000
χ4822-22-2-22-2-12-1-112-2-2-111-22-22100-1-22i3i3−i3−i3-111-111-1−2i2i−2i2i000−i3i300i3i3−i3−i3−i3−i3i3i31-1-2211-1-12i−2i00000000i−ii−i33−3−3000000−ii−330000000000000
χ4922-2-22-2-22222-222-22-2-22-2-22-2-20020000002-2-2-222-22i−2i−2i2i000000000000000000000000000002i−2i002i−2i−2i2i000022-2-200000000002i−2i0000000
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χ5222-2-22-2-22222-222-22-2-22-2-22-2-20020000002-2-2-222-2−2i2i2i−2i00000000000000000000000000000−2i2i00−2i2i2i−2i000022-2-20000000000−2i2i0000000
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χ542-222-2-2-2222-222-222-22-2-22-2-2-2002000000-22-222-2-200000000000000000000000000000002i−2i00−2i2i00002i−2i2i−2i-22-22000000000000−2i2i00000
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χ572-2-2-2-222222-2-22-2-222-2-22-2-2222-22002-22-2-2-22-22-22000002-200002-22-20000000000000000000000000000002-2-2200000000000000002-20
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χ6144444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-244144-2-2-2-2111111100004-2-2-2-2-2-211111111-2-2-2-2111100000000000000000000000000000000000000000
χ6244444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2441-4-4-2-2-2-211111110000-4-2-222221111-1-1-1-12222-1-1-1-100000000000000000000000000000000000000000
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χ934-4-4444-4-44-2-44-4222-4-44-2-2-22400-200000022-2-22-22000000000000000000000000000000000000000000000000000000000−2i32i3000000000
χ944-4-4444-4-44-2-44-4222-4-44-2-2-22400-200000022-2-22-220000000000000000000000000000000000000000000000000000000002i3−2i3000000000
χ954-4-4444-4-4-242-22-4-4-422-2444-4-200-200000022-2-22-2200000000000000000000000000000000000000000−2i32i32i3−2i300000000000000000000000
χ964-4-4444-4-4-242-22-4-4-422-2444-4-200-200000022-2-22-22000000000000000000000000000000000000000002i3−2i3−2i32i300000000000000000000000
χ974-4-4-4-44444-2-4-4422-24-4-4-222-244-4-2004-44-422-22-22-200000-220000-22-2200000000000000000000000000000000000000000000000000000
χ984-4-4-4-44444-2-4-4422-24-4-4-222-24-44-200-44-4422-22-22-2000002-200002-22-200000000000000000000000000000000000000000000000000000
χ994-4-4-4-4444-2422-2-4-44-2224-4-44-24-4-200-22-2222-22-22-2000004-40000-22-2200000000000000000000000000000000000000000000000000000
χ1004-4-4-4-4444-2422-2-4-44-2224-4-44-2-44-2002-22-222-22-22-200000-4400002-22-200000000000000000000000000000000000000000000000000000
χ1014-4-4-4-4444-2-222-222-2-222-222-2-24-4100-22-22-1-11-11-1100000-2200001-11-13-3-330000-333-300000000000000000000000000000000000000000
χ1024-4-4-4-4444-2-222-222-2-222-222-2-24-4100-22-22-1-11-11-1100000-2200001-11-1-333-300003-3-3300000000000000000000000000000000000000000
χ1034-4-4-4-4444-2-222-222-2-222-222-2-2-441002-22-2-1-11-11-11000002-20000-11-113-3-3300003-3-3300000000000000000000000000000000000000000
χ1044-4-4-4-4444-2-222-222-2-222-222-2-2-441002-22-2-1-11-11-11000002-20000-11-11-333-30000-333-300000000000000000000000000000000000000000
χ105888-8-88-8-8-4-4-444-4-444-44-4444-4002000000222-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-88-8-88-4-4-44-4-44-444-444-4440020000002-2-2-222-200000000000000000000000000000000000000000000000000000000000000000000
χ1078-888-8-8-88-4-44-4-44-4-44-444-4444002000000-22-222-2-200000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-8888-8-8-4-44-4444444-4-4-4-44-4002000000-2-222-22-200000000000000000000000000000000000000000000000000000000000000000000

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