Finite Group Databasebeta

← Group #11819100

Character table — Group #11819100

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444446666888888888888888888888881212121212121212121212121212121212121818181824242424242424242424242424243636363672
order1222222233666666666666663444466666661212121244444121212121212121212121212121212121212121212124444444444121212121212121244444412121212121212121212121222444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-111111111-1-1-1-11-1-1-1-1-111-1-1-1-111-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-1111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-1-1-1-1-1-1
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
χ5111111111111111111111111111-1-1111111111111111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-111111111111111-1-111-1-1-1-111-1-1-1-1-1-111-1
χ6111111111111111111111111111-1-1111111111111111-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-11-1-111-1-1-1-111-1-111-1-11
χ7111111111111111111111111111-1-111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-111-1-11111-1-11111-1-11
χ8111111111111111111111111111-1-111111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-11111-1-111-1
χ91111111111111111111111111-1-1111111111-1-1-1-11111-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1
χ101111111111111111111111111-1-1111111111-1-1-1-11111-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1111111-1-1111
χ111111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-11-1111111-1-1-1-1-1-1-1-1111
χ121111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-11111111111-1-1-1-1111111-1-111-1-1-1
χ131111111111111111111111111-1-1-1-11111111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-111-1-1-1-1-1-11
χ141111111111111111111111111-1-1-1-11111111-1-1-1-111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1111111-1-1-1-11111-1
χ151111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-1-1-11111-1-1-1-1-1111-1-1-1-1-1-111111111-1
χ161111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-111111111-1-1-1-111-1-111-1-111-1-1-1-11
χ17222222222-1222-1-12-12-1-12-1-12-12222-1-1-1-1-1-1-1222200002-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1222200002200000000000002-1-1-1-100-1-1-1-10000000
χ18222222222-1222-1-12-12-1-12-1-12-12222-1-1-1-1-1-1-1222200002-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-20000000000000-211110011110000000
χ19222222222-1222-1-12-12-1-12-1-12-122-2-2-1-1-1-1-1-1-122220000-2-1-1-2-21111-2-2-1-1-1-11111111122-2-20000220000000000000-2-1-11100-1-1110000000
χ20222222222-1222-1-12-12-1-12-1-12-122-2-2-1-1-1-1-1-1-122220000-2-1-1-2-21111-2-2-1-1-1-111111111-2-2220000-2-20000000000000211-1-10011-1-10000000
χ21222222222-1222-1-12-12-1-12-1-12-1-2-222-1-1-1-1-1-1-1-2-2-2-20000-21122-1-111-2-21111-1-1-1-1111122220000-2-20000000000000-2-1-1-1-10011110000000
χ22222222222-1222-1-12-12-1-12-1-12-1-2-222-1-1-1-1-1-1-1-2-2-2-20000-21122-1-111-2-21111-1-1-1-11111-2-2-2-200002200000000000002111100-1-1-1-10000000
χ23222222222-1222-1-12-12-1-12-1-12-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-20000211-2-211-1-12211111111-1-1-1-122-2-20000-2-200000000000002-1-1110011-1-10000000
χ24222222222-1222-1-12-12-1-12-1-12-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-20000211-2-211-1-12211111111-1-1-1-1-2-2220000220000000000000-211-1-100-1-1110000000
χ2522222222-12-1-1-122-12-122-122-1-12222-1-1-1-1-1-1-1-1-1-1-12222222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-10000222200-1-1-1-1-1-1-1-10000200000-1-10000-1-100000
χ2622222222-12-1-1-122-12-122-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-200111111110000-2000001100001100000
χ2722222222-12-1-1-122-12-122-122-1-122-2-2-1-1-1-1-1-1-1-1-1-1-12222-22211-2-2-2-211-1-1-1-111111111000022-2-200-1-1-1-1-1-1-1-10000-2000001100001100000
χ2822222222-12-1-1-122-12-122-122-1-122-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-22211-2-2-2-211-1-1-1-1111111110000-2-22200111111110000200000-1-10000-1-100000
χ2922222222-12-1-1-122-12-122-122-1-1-2-222-1-1-1-1-1-1-111112222-2-2-2-1-122-2-2111111-1-1-1-111110000-2-22200-1-1-1-111110000-200000110000-1-100000
χ3022222222-12-1-1-122-12-122-122-1-1-2-222-1-1-1-1-1-1-11111-2-2-2-2-2-2-2-1-122-2-2111111-1-1-1-11111000022-2-2001111-1-1-1-10000200000-1-100001100000
χ3122222222-12-1-1-122-12-122-122-1-1-2-2-2-2-1-1-1-1-1-1-1111122222-2-211-2-222-1-111111111-1-1-1-10000-2-2-2-200-1-1-1-111110000200000-1-100001100000
χ3222222222-12-1-1-122-12-122-122-1-1-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-22-2-211-2-222-1-111111111-1-1-1-100002222001111-1-1-1-10000-200000110000-1-100000
χ332222-2-2-2-22222-222-2-222-2-2-2-2-220000222-2-2-2-2000022-2-200000000000000000000000002-200000022-2-20000000000002-2000000002-2000
χ342222-2-2-2-22222-222-2-222-2-2-2-2-220000222-2-2-2-2000022-2-20000000000000000000000000-2200000022-2-2000000000000-2200000000-22000
χ352222-2-2-2-22222-222-2-222-2-2-2-2-220000222-2-2-2-20000-2-22200000000000000000000000002-2000000-2-2220000000000002-200000000-22000
χ362222-2-2-2-22222-222-2-222-2-2-2-2-220000222-2-2-2-20000-2-2220000000000000000000000000-22000000-2-222000000000000-22000000002-2000
χ3722-2-22-2-22222-222-2-2-2-2-22-22-222002i−2i2-2-222-2-200002i−2i2i−2i0002i−2i2i−2i000000002i2i−2i−2i00000000002-2002i−2i2i−2i000000000000000000002-200000
χ3822-2-22-2-22222-222-2-2-2-2-22-22-222002i−2i2-2-222-2-20000−2i2i−2i2i0002i−2i2i−2i000000002i2i−2i−2i0000000000-2200−2i2i−2i2i00000000000000000000-2200000
χ3922-2-22-2-22222-222-2-2-2-2-22-22-22200−2i2i2-2-222-2-200002i−2i2i−2i000−2i2i−2i2i00000000−2i−2i2i2i0000000000-22002i−2i2i−2i00000000000000000000-2200000
χ4022-2-22-2-22222-222-2-2-2-2-22-22-22200−2i2i2-2-222-2-20000−2i2i−2i2i000−2i2i−2i2i00000000−2i−2i2i2i00000000002-200−2i2i−2i2i000000000000000000002-200000
χ4122-2-22-2-22-12-11-12-21-21-2212-2-1-1002i−2i-111-1-11133−3−32i−2i2i−2i000−ii2i−2i00−i3i333−3−3−i−iii−i3−i3i3i30000002-200−ii−ii−i3−i3i3i300000000003−30000-1100000
χ4222-2-22-2-22-12-11-12-21-21-2212-2-1-1002i−2i-111-1-11133−3−3−2i2i−2i2i000−ii2i−2i00−i3i333−3−3−i−iii−i3−i3i3i3000000-2200i−ii−ii3i3−i3−i30000000000−3300001-100000
χ4322-2-22-2-22-12-11-12-21-21-2212-2-1-1002i−2i-111-1-111−3−3332i−2i2i−2i000−ii2i−2i00i3−i3−3−333−i−iiii3i3−i3−i30000002-200−ii−iii3i3−i3−i30000000000−330000-1100000
χ4422-2-22-2-22-12-11-12-21-21-2212-2-1-1002i−2i-111-1-111−3−333−2i2i−2i2i000−ii2i−2i00i3−i3−3−333−i−iiii3i3−i3−i3000000-2200i−ii−i−i3−i3i3i300000000003−300001-100000
χ4522-2-22-2-22-12-11-12-21-21-2212-2-1-100−2i2i-111-1-11133−3−32i−2i2i−2i000i−i−2i2i00i3−i333−3−3ii−i−ii3i3−i3−i3000000-2200−ii−ii−i3−i3i3i30000000000−3300001-100000
χ4622-2-22-2-22-12-11-12-21-21-2212-2-1-100−2i2i-111-1-11133−3−3−2i2i−2i2i000i−i−2i2i00i3−i333−3−3ii−i−ii3i3−i3−i30000002-200i−ii−ii3i3−i3−i300000000003−30000-1100000
χ4722-2-22-2-22-12-11-12-21-21-2212-2-1-100−2i2i-111-1-111−3−3332i−2i2i−2i000i−i−2i2i00−i3i3−3−333ii−i−i−i3−i3i3i3000000-2200−ii−iii3i3−i3−i300000000003−300001-100000
χ4822-2-22-2-22-12-11-12-21-21-2212-2-1-100−2i2i-111-1-111−3−333−2i2i−2i2i000i−i−2i2i00−i3i3−3−333ii−i−i−i3−i3i3i30000002-200i−ii−i−i3−i3i3i30000000000−330000-1100000
χ4922-2-2-222-2222-2-22-222-2-2-22-22-2200002-2-2-2-22200002i−2i−2i2i000000000000000000000002i−2i000000002i−2i−2i2i000022-2-2002i−2i000000000000000
χ5022-2-2-222-2222-2-22-222-2-2-22-22-2200002-2-2-2-22200002i−2i−2i2i00000000000000000000000−2i2i000000002i−2i−2i2i0000-2-22200−2i2i000000000000000
χ5122-2-2-222-2222-2-22-222-2-2-22-22-2200002-2-2-2-2220000−2i2i2i−2i000000000000000000000002i−2i00000000−2i2i2i−2i0000-2-222002i−2i000000000000000
χ5222-2-2-222-2222-2-22-222-2-2-22-22-2200002-2-2-2-2220000−2i2i2i−2i00000000000000000000000−2i2i00000000−2i2i2i−2i000022-2-200−2i2i000000000000000
χ532-22-22-22-222-2-22-22-2-22-222-22-222i−2i00-22-22-22-22i−2i2i−2i000002i−2i000000002i−2i2i−2i000000000000000000000000002-22-200000000000000002i−2i0
χ542-22-22-22-222-2-22-22-2-22-222-22-222i−2i00-22-22-22-22i−2i2i−2i000002i−2i000000002i−2i2i−2i00000000000000000000000000-22-220000000000000000−2i2i0
χ552-22-22-22-222-2-22-22-2-22-222-22-22−2i2i00-22-22-22-2−2i2i−2i2i00000−2i2i00000000−2i2i−2i2i000000000000000000000000002-22-20000000000000000−2i2i0
χ562-22-22-22-222-2-22-22-2-22-222-22-22−2i2i00-22-22-22-2−2i2i−2i2i00000−2i2i00000000−2i2i−2i2i00000000000000000000000000-22-2200000000000000002i−2i0
χ572-2-22-2-22222-22-2-2-2-2-2-22-2222220000-2-22-222-2000000000000000000000000000000000002-2002-200002-22-22-2-22000000002-2000000000
χ582-2-22-2-22222-22-2-2-2-2-2-22-2222220000-2-22-222-2000000000000000000000000000000000002-200-2200002-22-2-222-200000000-22000000000
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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
χ6244444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2144-4-41111111-2-2-2-20000-4-2-2222222221111-1-1-1-1-1-1-1-100000000000000000000000000000000000000000
χ6344444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-444111111122220000-422-2-2-2-22222-1-1-1-11111-1-1-1-100000000000000000000000000000000000000000
χ6444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4-4-41111111222200004222222-2-2-2-2-1-1-1-1-1-1-1-1111100000000000000000000000000000000000000000
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χ854-44-44-44-4-2-222-22-222-22-2-22-221−4i4i00-11-11-11-12i−2i2i−2i000002i−2i00000000−ii−ii3-33-3−3i3i−3i3i00000000000000000000000000000000000000000
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χ934-4-4444-4-44-2-444224-2-4-2-2-422-4-2000022-2-222-200000000000000023−23000000000023−23−232300000000000000000000000000000000000000000
χ944-4-4444-4-44-2-444224-2-4-2-2-422-4-2000022-2-222-2000000000000000−23230000000000−232323−2300000000000000000000000000000000000000000
χ954-4-4444-4-4-242-2-2-4-4-242442-4-42-2000022-2-222-2−2i32i32i3−2i3000000000000000−2i32i32i3−2i30000000000000000000000000000000000000000000000000
χ964-4-4444-4-4-242-2-2-4-4-242442-4-42-2000022-2-222-22i3−2i3−2i32i30000000000000002i3−2i3−2i32i30000000000000000000000000000000000000000000000000
χ974-4-4444-4-4-2-22-2-222-2-22-2-2222210000-1-111-1-11−2i32i32i3−2i30000000000023−2300i3−i3−i3i33i−3i−3i3i−333−300000000000000000000000000000000000000000
χ984-4-4444-4-4-2-22-2-222-2-22-2-2222210000-1-111-1-11−2i32i32i3−2i300000000000−232300i3−i3−i3i3−3i3i3i−3i3−3−3300000000000000000000000000000000000000000
χ994-4-4444-4-4-2-22-2-222-2-22-2-2222210000-1-111-1-112i3−2i3−2i32i30000000000023−2300−i3i3i3−i3−3i3i3i−3i−333−300000000000000000000000000000000000000000
χ1004-4-4444-4-4-2-22-2-222-2-22-2-2222210000-1-111-1-112i3−2i3−2i32i300000000000−232300−i3i3i3−i33i−3i−3i3i3−3−3300000000000000000000000000000000000000000
χ1014-4-44-4-4444-2-44-422-42-4-224-2-24-2000022-22-2-220000000000000000000000000000000000000004-400000000000000000000-22000000000
χ1024-4-44-4-4444-2-44-422-42-4-224-2-24-2000022-22-2-22000000000000000000000000000000000000000-44000000000000000000002-2000000000
χ1034-4-44-4-444-242-22-4-42-424-4-244-2-2000022-22-2-22000000000000000000000000000000000004-400000000-22-2200000000000000000000000
χ1044-4-44-4-444-242-22-4-42-424-4-244-2-2000022-22-2-2200000000000000000000000000000000000-44000000002-22-200000000000000000000000
χ1058888-8-8-8-8-4-4-4-44-4-444-4-44444420000222-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-888-8-4-4-444-44-4-4444-44-44200002-2-2-2-222000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-88-88-4-44444-4-4-4-4444-44-420000-22-2-22-22000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-88-8-888-4-44-4444444-44-4-4-4-420000-2-22-222-2000000000000000000000000000000000000000000000000000000000000000000000000

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