Finite Group Databasebeta

← Group #11799721

Character table — Group #11799721

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1122222222222222244444444444444444466888888888888888888888881212121212121212121212242424242424242448484848487272144
order1223344668812122424242436668121212121224242424242424248861216162424244848484848484848484848484848484844812121212242424242416164848484846121212884
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111-1-1111111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-111-1-111-1
χ4111111111111111111111111111111111111111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-1-1-1-1-11-1-111-1-11
χ511111111111111111111111111111111111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-111111-1-1-1
χ611111111111111111111111111111111111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ711111111111111111111111111111111111-1-111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-111-1-1-1-11
χ811111111111111111111111111111111111-1-111-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-11111-1
χ9222222222-2-222-2-2-2-22222-222222-2-2-2-2-2-2-2-2222200-2-2-20000000000000000-2-22-2-2-2-222220000000000000000
χ10222222222-2-222-2-2-2-22222-222222-2-2-2-2-2-2-2-2-2-22200-2-2-2000000000000000022-22222-2-2-2-20000000000000000
χ112222-1222-122222222-1-12-12-1-1-1-1222-1-1-1-1-1-100-1-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000220000002-1-1-1-1000
χ122222-1222-122222222-1-12-12-1-1-1-1222-1-1-1-1-1-100-1-122-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100000000000-2-2000000-21111000
χ132222-1222-122222222-1-12-12-1-1-1-1222-1-1-1-1-1-100-1-1-2-2-1-1-1-2-2-2-21111111111110000000000022000000-2-1-111000
χ142222-1222-122222222-1-12-12-1-1-1-1222-1-1-1-1-1-100-1-1-2-2-1-1-1-2-2-2-211111111111100000000000-2-2000000211-1-1000
χ15222-1222-1222-1-1-1-1-1-1-1-1-12222-1-1-1-1-122-1-1-1-122-1-1222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-10022-1-1-1-100000000
χ16222-1222-1222-1-1-1-1-1-1-1-1-12222-1-1-1-1-122-1-1-1-122-1-1-2-22-1-11111-2-2-2-211111111222-1-1-1-1-1-1-1-100-2-2111100000000
χ17222-1222-1222-1-1-1-1-1-1-1-1-12222-1-1-1-1-122-1-1-1-1-2-2-1-1222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-21111111100-2-2111100000000
χ18222-1222-1222-1-1-1-1-1-1-1-1-12222-1-1-1-1-122-1-1-1-1-2-2-1-1-2-22-1-11111-2-2-2-211111111-2-2-2111111110022-1-1-1-100000000
χ19222-1222-12-2-2-1-11111-1-1-12-222-1-1-111-2-2111122-1-100-21133−3−300003333−3−3−3−3-2-221111-1-1-1-1000033−3−300000000
χ20222-1222-12-2-2-1-11111-1-1-12-222-1-1-111-2-2111122-1-100-211−3−3330000−3−3−3−33333-2-221111-1-1-1-10000−3−33300000000
χ21222-1222-12-2-2-1-11111-1-1-12-222-1-1-111-2-21111-2-2-1-100-21133−3−300003333−3−3−3−322-2-1-1-1-111110000−3−33300000000
χ22222-1222-12-2-2-1-11111-1-1-12-222-1-1-111-2-21111-2-2-1-100-211−3−3330000−3−3−3−3333322-2-1-1-1-11111000033−3−300000000
χ2322-2222-2222222222222-2-2-2-2222-2-2-222222200-2-200-2-2-200000000000000000000000000000000000000002i−2i0
χ2422-2222-2222222222222-2-2-2-2222-2-2-222222200-2-200-2-2-20000000000000000000000000000000000000000−2i2i0
χ2522-2222-222-2-222-2-2-2-222-2-22-2222-222-2-2-2-2-2-200-2-2002220000000000000000000000000002-200000002-200000
χ2622-2222-222-2-222-2-2-2-222-2-22-2222-222-2-2-2-2-2-200-2-200222000000000000000000000000000-220000000-2200000
χ2722-222-222200-2-2000022-2-202-2-2-220000000022-22−i2i2000−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200-2000022-2-200−i2i2−i2i2−i2i200000000
χ2822-222-222200-2-2000022-2-202-2-2-220000000022-22i2−i2000i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200-2000022-2-200i2−i2i2−i2i2−i200000000
χ2922-222-222200-2-2000022-2-202-2-2-2200000000-2-2-22−i2i2000−i2i2−i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20020000-2-22200i2−i2i2−i2i2−i200000000
χ3022-222-222200-2-2000022-2-202-2-2-2200000000-2-2-22i2−i2000i2−i2i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i20020000-2-22200−i2i2−i2i2−i2i200000000
χ3122-22-12-22-1-2-222-2-2-2-2-1-1-2121-1-1-1-222111111001100-1-1-100003−33−33−33−33−33−3000000000002-20000000-113−3000
χ3222-22-12-22-1-2-222-2-2-2-2-1-1-2121-1-1-1-222111111001100-1-1-100003−33−33−33−33−33−300000000000-2200000001-1−33000
χ3322-22-12-22-1-2-222-2-2-2-2-1-1-2121-1-1-1-222111111001100-1-1-10000−33−33−33−33−33−33000000000002-20000000-11−33000
χ3422-22-12-22-1-2-222-2-2-2-2-1-1-2121-1-1-1-222111111001100-1-1-10000−33−33−33−33−33−3300000000000-2200000001-13−3000
χ3522-2-12-22-12001133−3−3-1-11-202-211-13−30033−3−3221-1−i2i203−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2−i2i2i2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ2300-233−3−3-1-11100−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2300000000
χ3622-2-12-22-12001133−3−3-1-11-202-211-13−30033−3−3221-1i2−i203−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2i2−i2−i2−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ2300-233−3−3-1-11100i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2300000000
χ3722-2-12-22-12001133−3−3-1-11-202-211-13−30033−3−3-2-21-1−i2i203−3ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−i2−i2i2i2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23002−3−33311-1-100i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ2300000000
χ3822-2-12-22-12001133−3−3-1-11-202-211-13−30033−3−3-2-21-1i2−i203−3−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23i2i2−i2−i2−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23002−3−33311-1-100−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ2300000000
χ3922-2-12-22-120011−3−333-1-11-202-211-1−3300−3−333221-1−i2i20−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2−i2i2i2ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ700-2−3−333-1-11100−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ700000000
χ4022-2-12-22-120011−3−333-1-11-202-211-1−3300−3−333221-1i2−i20−33−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i2i2−i2−i2−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ700-2−3−333-1-11100i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ700000000
χ4122-2-12-22-120011−3−333-1-11-202-211-1−3300−3−333-2-21-1−i2i20−33ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−i2−i2i2i2ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ700233−3−311-1-100i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ700000000
χ4222-2-12-22-120011−3−333-1-11-202-211-1−3300−3−333-2-21-1i2−i20−33−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7i2i2−i2−i2−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ700233−3−311-1-100−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ700000000
χ4344444-4-44400-4-4000044440-4-4-4-4-400000000004-4000000000000000000000000000000000000000000000000
χ444444-2444-2-4-444-4-4-4-4-2-24-2-4-2-2-2-24-4-422222200-2-2002220000000000000000000000000000000000000000000
χ454444-2-4-44-200-4-40000-2-24-202222-40000000000-22000000000i6−i6−i6i6i6−i6−i6i6i6−i6−i6i6000000000000000000000000000
χ464444-2-4-44-200-4-40000-2-24-202222-40000000000-22000000000−i6i6i6−i6−i6i6i6−i6−i6i6i6−i6000000000000000000000000000
χ47444-24-4-4-2400222323−23−23-2-2-240-4-4222−2323002323−23−2300-22000−23230000000000000000000000000000000000000000000
χ48444-24-4-4-240022−23−232323-2-2-240-4-422223−2300−23−23232300-2200023−230000000000000000000000000000000000000000000
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χ50444-2-244-2-244-2-2-2-2-2-211-2-24-2-211-2-2-2-2-211110011-4-4-21122222222-1-1-1-1-1-1-1-1000000000000000000000000000
χ51444-2-244-2-2-4-4-2-2222211-2-2-4-2-211-22222-1-1-1-10011002-1-12323−23−230000−3−3−3−33333000000000000000000000000000
χ52444-2-244-2-2-4-4-2-2222211-2-2-4-2-211-22222-1-1-1-10011002-1-1−23−23232300003333−3−3−3−3000000000000000000000000000
χ53444-2-2-4-4-2-200222323−23−2311-2-2022-1-12−232300−3−333001-10003−30000i6−i6−i6i6ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ232ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23000000000000000000000000000
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χ56444-2-2-4-4-2-20022−23−23232311-2-2022-1-1223−230033−3−3001-1000−330000−i6i6i6−i62ζ5+2ζ7+ζ13+ζ23−2ζ5−2ζ7−ζ13−ζ23−2ζ5−2ζ7−ζ13−ζ232ζ5+2ζ7+ζ13+ζ23−ζ5−ζ7−2ζ13−2ζ23ζ5+ζ7+2ζ13+2ζ23ζ5+ζ7+2ζ13+2ζ23−ζ5−ζ7−2ζ13−2ζ23000000000000000000000000000
χ5744-44-24-44-244444444-2-2-42-42-2-2-2-4-4-4-2-2-2-2-2-20022002220000000000000000000000000000000000000000000
χ5844-44-2-444-200-4-40000-2-2-420-2222400000000002-2−2i22i2000−2i22i2−2i22i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2000000000000000000000000000
χ5944-44-2-444-200-4-40000-2-2-420-2222400000000002-22i2−2i20002i2−2i22i2−2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2000000000000000000000000000
χ6044-4-244-4-2444-2-2-2-2-2-2-2-22-4-4-44-2-222244-2-2-2-2002200-4220000000000000000000000000000000000000000000
χ6144-4-244-4-24-4-4-2-22222-2-22-44-44-2-22-2-2-4-422220022004-2-20000000000000000000000000000000000000000000
χ6244-4-2-24-4-2-244-2-2-2-2-2-21122-42-211222-2-2111100-1-1002-1-1000000003-33-3-33-33000000000000000000000000000
χ6344-4-2-24-4-2-244-2-2-2-2-2-21122-42-211222-2-2111100-1-1002-1-100000000-33-333-33-3000000000000000000000000000
χ6444-4-2-24-4-2-2-4-4-2-22222112242-2112-2-222-1-1-1-100-1-100-211000023−2323−23−33−33−33−33000000000000000000000000000
χ6544-4-2-24-4-2-2-4-4-2-22222112242-2112-2-222-1-1-1-100-1-100-2110000−2323−23233−33−33−33−3000000000000000000000000000
χ6644-4-2-2-44-2-200222323−23−2311220-22-1-1-223−2300−3−33300-11−2i22i20−332ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ23i2i2−i2−i2−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23000000000000000000000000000
χ6744-4-2-2-44-2-200222323−23−2311220-22-1-1-223−2300−3−33300-112i2−2i20−33−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ23−i2−i2i2i2ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23000000000000000000000000000
χ6844-4-2-2-44-2-20022−23−23232311220-22-1-1-2−23230033−3−300-11−2i22i203−32ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ7i2i2−i2−i2−ζ13−ζ23−ζ13−ζ23ζ13+ζ23ζ13+ζ23−ζ5−ζ7−ζ5−ζ7ζ5+ζ7ζ5+ζ7000000000000000000000000000
χ6944-4-2-2-44-2-20022−23−23232311220-22-1-1-2−23230033−3−300-112i2−2i203−3−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ7−i2−i2i2i2ζ13+ζ23ζ13+ζ23−ζ13−ζ23−ζ13−ζ23ζ5+ζ7ζ5+ζ7−ζ5−ζ7−ζ5−ζ7000000000000000000000000000
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χ734-404400-4-42i2−2i2002i2−2i22i2−2i24-400000000002i2−2i22i2−2i22i2−2i22i2−2i2000000000000000000000002-202-22-22i2−2i2000000000000000000
χ744-40-24002-4−2i22i223−232ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ23-220000023−23000−2i22i22ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ23−2i22i2000000000000000000000002-20−1−31+3−1+31−3i2−i2i6−i60000000000000000
χ754-40-24002-4−2i22i223−232ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ23-220000023−23000−2i22i22ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ232i2−2i200000000000000000000000-2201+3−1−31−3−1+3−i2i2−i6i60000000000000000
χ764-40-24002-4−2i22i2−23232ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ7-2200000−2323000−2i22i22ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ7−2i22i2000000000000000000000002-20−1+31−3−1−31+3i2−i2−i6i60000000000000000
χ774-40-24002-4−2i22i2−23232ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ7-2200000−2323000−2i22i22ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ72i2−2i200000000000000000000000-2201−3−1+31+3−1−3−i2i2i6−i60000000000000000
χ784-40-24002-42i2−2i223−23−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ23-220000023−230002i2−2i2−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ23−2i22i200000000000000000000000-2201+3−1−31−3−1+3i2−i2i6−i60000000000000000
χ794-40-24002-42i2−2i223−23−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ23-220000023−230002i2−2i2−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ232i2−2i2000000000000000000000002-20−1−31+3−1+31−3−i2i2−i6i60000000000000000
χ804-40-24002-42i2−2i2−2323−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ7-2200000−23230002i2−2i2−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ7−2i22i200000000000000000000000-2201−3−1+31+3−1−3i2−i2−i6i60000000000000000
χ814-40-24002-42i2−2i2−2323−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ7-2200000−23230002i2−2i2−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ72i2−2i2000000000000000000000002-20−1+31−3−1−31+3−i2i2i6−i60000000000000000
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χ848-80-4-40044−4i24i243−434ζ5+4ζ7−4ζ5−4ζ74ζ13+4ζ23−4ζ13−4ζ232-200000−23230002i2−2i2−2ζ5−2ζ72ζ5+2ζ7−2ζ13−2ζ232ζ13+2ζ230000000000000000000000000000000000000000000000000000
χ858-80-4-40044−4i24i2−43434ζ13+4ζ23−4ζ13−4ζ234ζ5+4ζ7−4ζ5−4ζ72-20000023−230002i2−2i2−2ζ13−2ζ232ζ13+2ζ23−2ζ5−2ζ72ζ5+2ζ70000000000000000000000000000000000000000000000000000
χ868-80-4-400444i2−4i243−43−4ζ5−4ζ74ζ5+4ζ7−4ζ13−4ζ234ζ13+4ζ232-200000−2323000−2i22i22ζ5+2ζ7−2ζ5−2ζ72ζ13+2ζ23−2ζ13−2ζ230000000000000000000000000000000000000000000000000000
χ878-80-4-400444i2−4i2−4343−4ζ13−4ζ234ζ13+4ζ23−4ζ5−4ζ74ζ5+4ζ72-20000023−23000−2i22i22ζ13+2ζ23−2ζ13−2ζ232ζ5+2ζ7−2ζ5−2ζ70000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.