Finite Group Databasebeta

← Group #11810262

Character table — Group #11810262

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size11111111222222222222222244444444444444446666888888888888888888888881212121212121212121212121212121212121818181824242424242424242424242424243636363672
order122222223366666666666666344446666666121212124444412121212121212121212121212121212121212121212224444444466661212121222224412121212121212121212121244444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-111111111-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111-1-1-1-111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1
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
χ5111111111111111111111111111-1-11111111-1-1-1-11111-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-111111-1-1-1-111-1-111-1-11
χ6111111111111111111111111111-1-11111111-1-1-1-11111-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-111-1-111-1-111-1-111-1
χ7111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111111-1-111-1-111-1-1-1-111-1
χ8111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-1-1-11111-1-11111-1-11
χ91111111111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-1-1-111111111111111-1-111-1-1-1-1-1-1-1-11111-1-1-1
χ101111111111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-11-1-1-1-1-1-11111-1-1-1-1111
χ111111111111111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1111111-1-1-1-111-1-1111
χ121111111111111111111111111-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-111111111-1-111-1-1-1
χ131111111111111111111111111-1-1-1-11111111-1-1-1-11111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-11111-1-1-1-11-111-1-11111-1-1-1-11111-1
χ141111111111111111111111111-1-1-1-11111111-1-1-1-11111111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111111111-1-1-1-111-1-11111-1-1-1-11
χ151111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-11111-1-11111-1-111-1-1-1-1-1-1-1-11
χ161111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1111111-1-1-1-1-1-1-1-1-11-1-111-1-1-1-111111111-1
χ17222222222-1222-1-1-1-1222-1-1-12-12222-1-1-1-1-1-1-1-1-1-1-1222222222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-12200220000-1-1-1-1-1-1-1-100002000-1-1-1-100000000000
χ18222222222-1222-1-1-1-1222-1-1-12-12222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-222222-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-200-2-20000111111110000-2000111100000000000
χ19222222222-1222-1-1-1-1222-1-1-12-122-2-2-1-1-1-1-1-1-111112222-2-2-222-1-111-2-2-1-1-1-111111111-2-2002200001111-1-1-1-10000-2000-1-11100000000000
χ20222222222-1222-1-1-1-1222-1-1-12-122-2-2-1-1-1-1-1-1-11111-2-2-2-2-2-2-222-1-111-2-2-1-1-1-1111111112200-2-20000-1-1-1-111110000200011-1-100000000000
χ21222222222-1222-1-1-1-1222-1-1-12-1-2-222-1-1-1-1-1-1-1-1-1-1-12222-2-2-2-2-21111221111-1-1-1-111112200-2-20000-1-1-1-1-1-1-1-10000-2000111100000000000
χ22222222222-1222-1-1-1-1222-1-1-12-1-2-222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-21111221111-1-1-1-11111-2-2002200001111111100002000-1-1-1-100000000000
χ23222222222-1222-1-1-1-1222-1-1-12-1-2-2-2-2-1-1-1-1-1-1-111112222222-2-211-1-1-2-211111111-1-1-1-1-2-200-2-200001111-1-1-1-10000200011-1-100000000000
χ24222222222-1222-1-1-1-1222-1-1-12-1-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-2222-2-211-1-1-2-211111111-1-1-1-12200220000-1-1-1-111110000-2000-1-11100000000000
χ2522222222-12-1-1-12222-1-1-1222-1-12222-1-1-1-1-1-1-1222200002-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1002200222200000000000002-1-10000-1-1-1-1-1-100000
χ2622222222-12-1-1-12222-1-1-1222-1-12222-1-1-1-1-1-1-1222200002-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-2-2-20000000000000-211000011111100000
χ2722222222-12-1-1-12222-1-1-1222-1-122-2-2-1-1-1-1-1-1-1-2-2-2-20000-211-1-122-2-211-1-1-1-111111111002200-2-2-2-200000000000002-1-1000011-1-11100000
χ2822222222-12-1-1-12222-1-1-1222-1-122-2-2-1-1-1-1-1-1-1-2-2-2-20000-211-1-122-2-211-1-1-1-11111111100-2-20022220000000000000-2110000-1-111-1-100000
χ2922222222-12-1-1-12222-1-1-1222-1-1-2-222-1-1-1-1-1-1-122220000-21111-2-2-2-2-1-11111-1-1-1-11111002200-2-2220000000000000-2-1-100001111-1-100000
χ3022222222-12-1-1-12222-1-1-1222-1-1-2-222-1-1-1-1-1-1-122220000-21111-2-2-2-2-1-11111-1-1-1-1111100-2-20022-2-200000000000002110000-1-1-1-11100000
χ3122222222-12-1-1-12222-1-1-1222-1-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-200002-1-111-2-2221111111111-1-1-1-100220022-2-20000000000000-2-1-10000-1-1111100000
χ3222222222-12-1-1-12222-1-1-1222-1-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-200002-1-111-2-2221111111111-1-1-1-100-2-200-2-2220000000000000211000011-1-1-1-100000
χ33222-22-2-2-22222-2222-2-22-2-2-2-2-220000222-2-2-2-200000000000000000000000000000002-22-200000022-2-2000022-2-2002-2000000000000000
χ34222-22-2-2-22222-2222-2-22-2-2-2-2-220000222-2-2-2-200000000000000000000000000000002-2-2200000022-2-20000-2-22200-22000000000000000
χ35222-22-2-2-22222-2222-2-22-2-2-2-2-220000222-2-2-2-20000000000000000000000000000000-222-2000000-2-2220000-2-222002-2000000000000000
χ36222-22-2-2-22222-2222-2-22-2-2-2-2-220000222-2-2-2-20000000000000000000000000000000-22-22000000-2-222000022-2-200-22000000000000000
χ3722-22-2-2-22222-222-2-22-2-2-22-2-2222i−2i002-2-222-2-2000022-2-20002i−2i2i−2i00002i2i−2i−2i0000000000002i−2i0000000022-2-2000000002i−2i0000000000000
χ3822-22-2-2-22222-222-2-22-2-2-22-2-2222i−2i002-2-222-2-20000-2-2220002i−2i2i−2i00002i2i−2i−2i000000000000−2i2i00000000-2-22200000000−2i2i0000000000000
χ3922-22-2-2-22222-222-2-22-2-2-22-2-222−2i2i002-2-222-2-2000022-2-2000−2i2i−2i2i0000−2i−2i2i2i000000000000−2i2i0000000022-2-200000000−2i2i0000000000000
χ4022-22-2-2-22222-222-2-22-2-2-22-2-222−2i2i002-2-222-2-20000-2-222000−2i2i−2i2i0000−2i−2i2i2i0000000000002i−2i00000000-2-222000000002i−2i0000000000000
χ4122-22-2-2-222-12-22-111-1-2-2-2-1112-12i−2i00-111-1-111−i3−i3i3i322-2-20002i−2i−ii3−300−i−iii−i3−i3i3i333−3−300002i−2i0000−i3i3−i3i3-1-11100000000−ii3−300000000000
χ4222-22-2-2-222-12-22-111-1-2-2-2-1112-12i−2i00-111-1-111−i3−i3i3i3-2-2220002i−2i−ii3−300−i−iii−i3−i3i3i333−3−30000−2i2i0000i3−i3i3−i311-1-100000000i−i−3300000000000
χ4322-22-2-2-222-12-22-111-1-2-2-2-1112-12i−2i00-111-1-111i3i3−i3−i322-2-20002i−2i−ii−3300−i−iiii3i3−i3−i3−3−33300002i−2i0000i3−i3i3−i3-1-11100000000−ii−3300000000000
χ4422-22-2-2-222-12-22-111-1-2-2-2-1112-12i−2i00-111-1-111i3i3−i3−i3-2-2220002i−2i−ii−3300−i−iiii3i3−i3−i3−3−3330000−2i2i0000−i3i3−i3i311-1-100000000i−i3−300000000000
χ4522-22-2-2-222-12-22-111-1-2-2-2-1112-1−2i2i00-111-1-111−i3−i3i3i322-2-2000−2i2ii−i−3300ii−i−i−i3−i3i3i3−3−3330000−2i2i0000−i3i3−i3i3-1-11100000000i−i−3300000000000
χ4622-22-2-2-222-12-22-111-1-2-2-2-1112-1−2i2i00-111-1-111−i3−i3i3i3-2-222000−2i2ii−i−3300ii−i−i−i3−i3i3i3−3−33300002i−2i0000i3−i3i3−i311-1-100000000−ii3−300000000000
χ4722-22-2-2-222-12-22-111-1-2-2-2-1112-1−2i2i00-111-1-111i3i3−i3−i322-2-2000−2i2ii−i3−300ii−i−ii3i3−i3−i333−3−30000−2i2i0000i3−i3i3−i3-1-11100000000i−i3−300000000000
χ4822-22-2-2-222-12-22-111-1-2-2-2-1112-1−2i2i00-111-1-111i3i3−i3−i3-2-222000−2i2ii−i3−300ii−i−ii3i3−i3−i333−3−300002i−2i0000−i3i3−i3i311-1-100000000−ii−3300000000000
χ492-22-2-2-22222-22-2-22-2-2-2-2222-2220000-22-2-222-200002-22-2000000000000000000000000000002-20000002-22-20000000000002-20000002-20
χ502-22-2-2-22222-22-2-22-2-2-2-2222-2220000-22-2-222-200002-22-200000000000000000000000000000-220000002-22-2000000000000-22000000-220
χ512-22-2-2-22222-22-2-22-2-2-2-2222-2220000-22-2-222-20000-22-22000000000000000000000000000002-2000000-22-220000000000002-2000000-220
χ522-22-2-2-22222-22-2-22-2-2-2-2222-2220000-22-2-222-20000-22-2200000000000000000000000000000-22000000-22-22000000000000-220000002-20
χ532-2-222-22-222-2-22-2-222-222-22-2-22002i−2i-2-222-22-22i−2i2i−2i00000000000002i−2i00002i−2i2i−2i00000000000000000000002-22-2000000000000002i−2i000
χ542-2-222-22-222-2-22-2-222-222-22-2-22002i−2i-2-222-22-22i−2i2i−2i00000000000002i−2i00002i−2i2i−2i0000000000000000000000-22-2200000000000000−2i2i000
χ552-2-222-22-222-2-22-2-222-222-22-2-2200−2i2i-2-222-22-2−2i2i−2i2i0000000000000−2i2i0000−2i2i−2i2i00000000000000000000002-22-200000000000000−2i2i000
χ562-2-222-22-222-2-22-2-222-222-22-2-2200−2i2i-2-222-22-2−2i2i−2i2i0000000000000−2i2i0000−2i2i−2i2i0000000000000000000000-22-22000000000000002i−2i000
χ572-2-2-222-2222-2-2-2-2-22-222-22-22220000-2-22-22-2200002-2-2200000000000000000000000000000002-200002-2-222-2-220000000000002-200000
χ582-2-2-222-2222-2-2-2-2-22-222-22-22220000-2-22-22-2200002-2-220000000000000000000000000000000-2200002-2-22-222-2000000000000-2200000
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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
χ6244444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2144-4-4111111122220000-422-2-2-2-222221111-1-1-1-1-1-1-1-100000000000000000000000000000000000000000
χ6344444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4441111111-2-2-2-20000-422222222-2-2-1-1-1-11111-1-1-1-100000000000000000000000000000000000000000
χ6444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4-4-41111111222200004-2-22222-2-222-1-1-1-1-1-1-1-1111100000000000000000000000000000000000000000
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χ954-4-444-44-4-2422-2-4-4442-2-2-44-42-2004i−4i22-2-22-224i−4i4i−4i0000000000000−2i2i0000−2i2i−2i2i000000000000000000000000000000000000000000000
χ964-4-444-44-4-2422-2-4-4442-2-2-44-42-200−4i4i22-2-22-22−4i4i−4i4i00000000000002i−2i00002i−2i2i−2i000000000000000000000000000000000000000000000
χ974-4-444-44-4-2-222-222-2-22-2-22-2221004i−4i-1-111-11-1−2i2i−2i2i0000000000000−2i2i3-3-33i−ii−i3i−3i−3i3i00000000000000000000000000000000000000000
χ984-4-444-44-4-2-222-222-2-22-2-22-2221004i−4i-1-111-11-1−2i2i−2i2i0000000000000−2i2i-333-3i−ii−i−3i3i3i−3i00000000000000000000000000000000000000000
χ994-4-444-44-4-2-222-222-2-22-2-22-222100−4i4i-1-111-11-12i−2i2i−2i00000000000002i−2i3-3-33−ii−ii−3i3i3i−3i00000000000000000000000000000000000000000
χ1004-4-444-44-4-2-222-222-2-22-2-22-222100−4i4i-1-111-11-12i−2i2i−2i00000000000002i−2i-333-3−ii−ii3i−3i−3i3i00000000000000000000000000000000000000000
χ1014-4-4-444-444-2-4-4-422-2244-4-22-24-2000022-22-22-200004-4-440000000000000000000000000000000000000-222-200000000000000000000000
χ1024-4-4-444-444-2-4-4-422-2244-4-22-24-2000022-22-22-20000-444-400000000000000000000000000000000000002-2-2200000000000000000000000
χ1034-4-4-444-44-24222-4-44-4-2-224-44-2-2000022-22-22-20000000000000000000000000000000000000004-4000000000000000000000000-2200000
χ1044-4-4-444-44-24222-4-44-4-2-224-44-2-2000022-22-22-2000000000000000000000000000000000000000-440000000000000000000000002-200000
χ105888-88-8-8-8-4-4-4-44-4-4-444-44444420000222-2-2-2-2000000000000000000000000000000000000000000000000000000000000000000000000
χ10688-8-8-888-8-4-4-444-4444-44-44-4-44200002-2-2-2-222000000000000000000000000000000000000000000000000000000000000000000000000
χ1078-88-8-8-888-4-44-444-44444-4-4-44-420000-22-2-222-2000000000000000000000000000000000000000000000000000000000000000000000000
χ1088-8-8-888-88-4-444444-44-4-44-44-4-420000-2-22-22-22000000000000000000000000000000000000000000000000000000000000000000000000

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