Finite Group Databasebeta

← Group #11824436

Character table — Group #11824436

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size11111111222222222222222244444444444444444444666666668888888888888888888881212121212121212121212121212121212121212121212122424242424242424242436363636363672
order1222222233666666666666662234466666666666121212124444444426666666666666612121212121222444444121212121212121212121212121212122266666612124444442
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111-1-1-1-111111111111111111111111-1-111-1-111111111-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111-1-1-1-11111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-111111111-1111-1-1-1-111-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111
χ5111111111111111111111111111-1-111111111111-1-1-1-111111111-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-111111111-1-1-1-111-1-1-1-111-1-111-1
χ6111111111111111111111111111-1-111111111111-1-1-1-11111-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-111-1-111-1-11
χ7111111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-11111-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111111-1-1-1-1-111-1-1-1-111-1-11
χ8111111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1111111-1-111-1
χ9111111111111111111111111-1-1111-1-1-1-11111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1
χ10111111111111111111111111-1-1111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111111111-1-1-1-11111-1111-1-1-1-1-1-1-1-1-1-1111
χ11111111111111111111111111-1-1111-1-1-1-111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-1-1111111-1-1-1-1111
χ12111111111111111111111111-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1
χ13111111111111111111111111-1-11-1-1-1-1-1-11111111-1-1-1-111111111111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-111-1-1-1-11
χ14111111111111111111111111-1-11-1-1-1-1-1-11111111-1-1-1-11111-1-1-1-1111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-1-11111-1-11111-1
χ15111111111111111111111111-1-11-1-1-1-1-1-11111111-1-1-1-1-1-1-1-11111111-1-111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-1-1-111111111-1-1-1-1-111111-1-1-1-1-1-11111-1
χ16111111111111111111111111-1-11-1-1-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1111-1-111-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-11111-1-1-1-111-1-11111-1-1-1-11
χ17222222222-122222-1-1-1-1-1-1-12222-1222222-1-1-1-1-1-1-1-1-1-1-122220000222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122002200-1-1-1-1-1-1-1-1000000002000-1-1-1-1000000000
χ18222222222-122222-1-1-1-1-1-1-12222-1222222-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-200-2-2001111111100000000-20001111000000000
χ19222222222-122222-1-1-1-1-1-1-12222-1-2-22222-1-1-1-1-1-1-1111122220000-2-2-2-1-111-1-1-1-11111-2-211112200-2-200-1-1-1-1111100000000-2000-1-111000000000
χ20222222222-122222-1-1-1-1-1-1-12222-1-2-22222-1-1-1-1-1-1-11111-2-2-2-20000-2-2-2-1-111-1-1-1-11111-2-21111-2-20022001111-1-1-1-100000000200011-1-1000000000
χ21222222222-122222-1-1-1-1-1-1-122-2-2-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-122220000-2-2-211111111111122-1-1-1-1-2-2002200-1-1-1-1-1-1-1-100000000-20001111000000000
χ22222222222-122222-1-1-1-1-1-1-122-2-2-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-2-211111111111122-1-1-1-12200-2-20011111111000000002000-1-1-1-1000000000
χ23222222222-122222-1-1-1-1-1-1-122-2-2-1-2-2-2-2-2-2-1-1-1-1-1-1-111112222000022211-1-11111-1-1-1-1-2-21111-2-200-2-200-1-1-1-1111100000000200011-1-1000000000
χ24222222222-122222-1-1-1-1-1-1-122-2-2-1-2-2-2-2-2-2-1-1-1-1-1-1-11111-2-2-2-2000022211-1-11111-1-1-1-1-2-21111220022001111-1-1-1-100000000-2000-1-111000000000
χ2522222222-12-1-1-1-1-12222222-1-122-122-1-1-1-1-1-1-1-1-1-1-12222000022222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-10022002200000000-1-1-1-1-1-1-1-102-1-10000-1-10000000
χ2622222222-12-1-1-1-1-12222222-1-122-122-1-1-1-1-1-1-1-1-1-1-122220000-2-2-2-22-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-200-2-200000000111111110-2110000110000000
χ2722222222-12-1-1-1-1-12222222-1-122-1-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200002222-21122-2-2-1-1-1-1111111111100-2-2002200000000-1-1-1-1-1-1-1-10-2110000110000000
χ2822222222-12-1-1-1-1-12222222-1-122-1-2-2-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-2-2-2-21122-2-2-1-1-1-11111111111002200-2-2000000001111111102-1-10000-1-10000000
χ2922222222-12-1-1-1-1-12222222-1-1-2-2-1221111-1-1-1-1-1-1-1222200002222-211-2-2-2-211111111-1-1-1-1-1-1002200-2-200000000-1-1-1-111110-2110000-1-10000000
χ3022222222-12-1-1-1-1-12222222-1-1-2-2-1221111-1-1-1-1-1-1-122220000-2-2-2-2-211-2-2-2-211111111-1-1-1-1-1-100-2-20022000000001111-1-1-1-102-1-10000110000000
χ3122222222-12-1-1-1-1-12222222-1-1-2-2-1-2-21111-1-1-1-1-1-1-1-2-2-2-2000022222-1-1-2-2221111-1-1-1-111111100-2-200-2-200000000-1-1-1-1111102-1-10000110000000
χ3222222222-12-1-1-1-1-12222222-1-1-2-2-1-2-21111-1-1-1-1-1-1-1-2-2-2-20000-2-2-2-22-1-1-2-2221111-1-1-1-111111100220022000000001111-1-1-1-10-2110000-1-10000000
χ332222-2-2-2-222222-2-222-2-2-22-2-2-2002000000222-2-2-2-2000022-2-200000000000000000000000000000002i−2i22-2-2000000002i2i−2i−2i000000000000002i−2i0
χ342222-2-2-2-222222-2-222-2-2-22-2-2-2002000000222-2-2-2-2000022-2-20000000000000000000000000000000−2i2i22-2-200000000−2i−2i2i2i00000000000000−2i2i0
χ352222-2-2-2-222222-2-222-2-2-22-2-2-2002000000222-2-2-2-20000-2-22200000000000000000000000000000002i−2i-2-222000000002i2i−2i−2i00000000000000−2i2i0
χ362222-2-2-2-222222-2-222-2-2-22-2-2-2002000000222-2-2-2-20000-2-2220000000000000000000000000000000−2i2i-2-22200000000−2i−2i2i2i000000000000002i−2i0
χ3722-2-22-2-22222-2-2-2-22-22-22-2-2220022-200002-2-22-2-2222-2-2000022-2-20000000000000002-222-2-2002-200000000000022-2-20000000000002-20000000
χ3822-2-22-2-22222-2-2-2-22-22-22-2-2220022-200002-2-22-2-2222-2-20000-2-2220000000000000002-222-2-200-22000000000000-2-222000000000000-220000000
χ3922-2-22-2-22222-2-2-2-22-22-22-2-222002-2200002-2-22-2-22-2-222000022-2-2000000000000000-22-2-22200-2200000000000022-2-2000000000000-220000000
χ4022-2-22-2-22222-2-2-2-22-22-22-2-222002-2200002-2-22-2-22-2-2220000-2-222000000000000000-22-2-222002-2000000000000-2-2220000000000002-20000000
χ4122-2-22-2-22-12-111112-22-22-2-2-1-100-12-2−i3−i3i3i3-111-111-122-2-2000022-2-20−i3i30000−i3−i3i3i3−i3−i3i3i3-11-1-111002-2000000000000-1-111−i3i3−i3i300−i3i30000-110000000
χ4222-2-22-2-22-12-111112-22-22-2-2-1-100-12-2−i3−i3i3i3-111-111-122-2-20000-2-2220−i3i30000−i3−i3i3i3−i3−i3i3i3-11-1-11100-2200000000000011-1-1i3−i3i3−i300i3−i300001-10000000
χ4322-2-22-2-22-12-111112-22-22-2-2-1-100-12-2i3i3−i3−i3-111-111-122-2-2000022-2-20i3−i30000i3i3−i3−i3i3i3−i3−i3-11-1-111002-2000000000000-1-111i3−i3i3−i300i3−i30000-110000000
χ4422-2-22-2-22-12-111112-22-22-2-2-1-100-12-2i3i3−i3−i3-111-111-122-2-20000-2-2220i3−i30000i3i3−i3−i3i3i3−i3−i3-11-1-11100-2200000000000011-1-1−i3i3−i3i300−i3i300001-10000000
χ4522-2-22-2-22-12-111112-22-22-2-2-1-100-1-22−i3−i3i3i3-111-111-1-2-222000022-2-20i3−i30000−i3−i3i3i3i3i3−i3−i31-111-1-100-22000000000000-1-111−i3i3−i3i300i3−i300001-10000000
χ4622-2-22-2-22-12-111112-22-22-2-2-1-100-1-22−i3−i3i3i3-111-111-1-2-2220000-2-2220i3−i30000−i3−i3i3i3i3i3−i3−i31-111-1-1002-200000000000011-1-1i3−i3i3−i300−i3i30000-110000000
χ4722-2-22-2-22-12-111112-22-22-2-2-1-100-1-22i3i3−i3−i3-111-111-1-2-222000022-2-20−i3i30000i3i3−i3−i3−i3−i3i3i31-111-1-100-22000000000000-1-111i3−i3i3−i300−i3i300001-10000000
χ4822-2-22-2-22-12-111112-22-22-2-2-1-100-1-22i3i3−i3−i3-111-111-1-2-2220000-2-2220−i3i30000i3i3−i3−i3−i3−i3i3i31-111-1-1002-200000000000011-1-1−i3i3−i3i300i3−i30000-110000000
χ492-22-2-2-22222-22-22-2-222-2-2-22-22002000000-22-222-2-2000000002-22-200000000000000000000000002-200000022-2-22-22-200000000000000002-2000
χ502-22-2-2-22222-22-22-2-222-2-2-22-22002000000-22-222-2-2000000002-22-20000000000000000000000000-22000000-2-2222-22-20000000000000000-22000
χ512-22-2-2-22222-22-22-2-222-2-2-22-22002000000-22-222-2-200000000-22-2200000000000000000000000002-200000022-2-2-22-220000000000000000-22000
χ522-22-2-2-22222-22-22-2-222-2-2-22-22002000000-22-222-2-200000000-22-220000000000000000000000000-22000000-2-222-22-2200000000000000002-2000
χ532-2-222-22-222-2-222-2-2-2-2-22222-22-22002-22-2-2-22-22-2200002-22-200000002-2002-22-200000000002-20000002-22-200000000000000002-200000000000
χ542-2-222-22-222-2-222-2-2-2-2-22222-22-22002-22-2-2-22-22-220000-22-2200000002-2002-22-20000000000-22000000-22-220000000000000000-2200000000000
χ552-2-222-22-222-2-222-2-2-2-2-22222-2-22200-22-22-2-22-22-2200002-22-20000000-2200-22-220000000000-220000002-22-20000000000000000-2200000000000
χ562-2-222-22-222-2-222-2-2-2-2-22222-2-22200-22-22-2-22-22-220000-22-220000000-2200-22-2200000000002-2000000-22-2200000000000000002-200000000000
χ572-2-222-22-22-1-2-222-21111-1-1-12-22-2-1002-22-211-11-11-1−i3i3−i3i32-22-20000000-11−i3i3-11-11−i3i3−i3i300−i3i3−i3i32-2000000-11-11−i3i3−i3i3000000000000-11−i3i3000000000
χ582-2-222-22-22-1-2-222-21111-1-1-12-22-2-1002-22-211-11-11-1−i3i3−i3i3-22-220000000-11−i3i3-11-11−i3i3−i3i300−i3i3−i3i3-220000001-11-1i3−i3i3−i30000000000001-1i3−i3000000000
χ592-2-222-22-22-1-2-222-21111-1-1-12-22-2-1002-22-211-11-11-1i3−i3i3−i32-22-20000000-11i3−i3-11-11i3−i3i3−i300i3−i3i3−i32-2000000-11-11i3−i3i3−i3000000000000-11i3−i3000000000
χ602-2-222-22-22-1-2-222-21111-1-1-12-22-2-1002-22-211-11-11-1i3−i3i3−i3-22-220000000-11i3−i3-11-11i3−i3i3−i300i3−i3i3−i3-220000001-11-1−i3i3−i3i30000000000001-1−i3i3000000000
χ612-2-222-22-22-1-2-222-21111-1-1-12-2-22-100-22-2211-11-11-1−i3i3−i3i32-22-200000001-1i3−i31-11-1i3−i3i3−i300−i3i3−i3i3-22000000-11-11−i3i3−i3i30000000000001-1i3−i3000000000
χ622-2-222-22-22-1-2-222-21111-1-1-12-2-22-100-22-2211-11-11-1−i3i3−i3i3-22-2200000001-1i3−i31-11-1i3−i3i3−i300−i3i3−i3i32-20000001-11-1i3−i3i3−i3000000000000-11−i3i3000000000
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χ652-2-22-22-2222-2-22-22-2-222-22-2-22002000000-2-222-22-200002-2-222-2-22000000000000000000000000000002-2-2200002-2-22000000000000002-200000
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χ6944444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-244144-2-2-2-21111111-2-2-2-2000000004-2-2-2-2-2-211111111-2-2111100000000000000000000000000000000000000000
χ7044444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2441-4-4-2-2-2-21111111222200000000-422-2-2221111-1-1-1-122-1-1-1-100000000000000000000000000000000000000000
χ7144444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-4-414422221111111-2-2-2-200000000-4222222-1-1-1-1-1-1-1-1-2-2111100000000000000000000000000000000000000000
χ7244444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-4-41-4-4222211111112222000000004-2-222-2-2-1-1-1-1111122-1-1-1-100000000000000000000000000000000000000000
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χ8444-4-4-444-44-24-4-444-222-222-2-4-400-2000000-2222-2-22000000000000000000000000000000000000000000000−2i32i32i3−2i30000000000000000000000000
χ8544-4-4-444-44-24-4-444-222-222-2-4-400-2000000-2222-2-220000000000000000000000000000000000000000000002i3−2i3−2i32i30000000000000000000000000
χ8644-4-4-444-4-24-222-2-24-4-44-4-442200-2000000-2222-2-220000000000000000000000000000000000000000000000000000023−23−232300000000000000000
χ8744-4-4-444-4-24-222-2-24-4-44-4-442200-2000000-2222-2-2200000000000000000000000000000000000000000000000000000−232323−2300000000000000000
χ884-44-444-4-444-44-4-44-44-444-4-44-4004000000-44-4-4-44400000000000000000000000000000000000000000000000000000000000000000000000000
χ894-44-444-4-44-2-44-4-442-22-2-2224-400-20000002-2222-2-2−2i32i32i3−2i30000000000000000000000000−2i32i32i3−2i300000000000000000000000000000000000000000
χ904-44-444-4-44-2-44-4-442-22-2-2224-400-20000002-2222-2-22i3−2i3−2i32i300000000000000000000000002i3−2i3−2i32i300000000000000000000000000000000000000000
χ914-44-444-4-4-242-222-2-44-444-4-4-2200-200−2i32i32i3−2i32-2222-2-20000000000000000000−2i32i32i3−2i3000000000000000000000000000000000000000000000000000
χ924-44-444-4-4-242-222-2-44-444-4-4-2200-2002i3−2i3−2i32i32-2222-2-200000000000000000002i3−2i3−2i32i3000000000000000000000000000000000000000000000000000
χ934-44-444-4-4-2-22-222-22-22-2-222-2200100−2i32i32i3−2i3-11-1-1-111−2i32i32i3−2i3000000000000000i3−i3−i3i3-333-300i3−i3−i3i300000000000000000000000000000000000000000
χ944-44-444-4-4-2-22-222-22-22-2-222-2200100−2i32i32i3−2i3-11-1-1-1112i3−2i3−2i32i3000000000000000i3−i3−i3i33-3-3300−i3i3i3−i300000000000000000000000000000000000000000
χ954-44-444-4-4-2-22-222-22-22-2-222-22001002i3−2i3−2i32i3-11-1-1-111−2i32i32i3−2i3000000000000000−i3i3i3−i33-3-3300i3−i3−i3i300000000000000000000000000000000000000000
χ964-44-444-4-4-2-22-222-22-22-2-222-22001002i3−2i3−2i32i3-11-1-1-1112i3−2i3−2i32i3000000000000000−i3i3i3−i3-333-300−i3i3i3−i300000000000000000000000000000000000000000
χ974-44-4-4-4444-2-44-44-42-2-2222-2-4400-20000002-22-2-22200000000000000000000000000000000000004-4000000-2-2220000000000000000000000000
χ984-44-4-4-4444-2-44-44-42-2-2222-2-4400-20000002-22-2-2220000000000000000000000000000000000000-4400000022-2-20000000000000000000000000
χ994-44-4-4-444-242-22-22-444-4-4-442-200-20000002-22-2-222000000004-44-40000000000000000000000000000000000000-22-22000000000000000000000
χ1004-44-4-4-444-242-22-22-444-4-4-442-200-20000002-22-2-22200000000-44-4400000000000000000000000000000000000002-22-2000000000000000000000
χ1014-4-444-44-4-2422-2-22-4-4-4-4444-224-4-200-22-2222-22-22-20000000000000004-400-22-22000000000000000000000000000000000000000000000000000
χ1024-4-444-44-4-2422-2-22-4-4-4-4444-22-44-2002-22-222-22-22-2000000000000000-44002-22-2000000000000000000000000000000000000000000000000000
χ1034-4-444-44-4-2-222-2-222222-2-2-2-224-4100-22-22-1-11-11-11−2i32i3−2i32i300000000000-22−2i32i31-11-1i3−i3i3−i300i3−i3i3−i300000000000000000000000000000000000000000
χ1044-4-444-44-4-2-222-2-222222-2-2-2-224-4100-22-22-1-11-11-112i3−2i32i3−2i300000000000-222i3−2i31-11-1−i3i3−i3i300−i3i3−i3i300000000000000000000000000000000000000000
χ1054-4-444-44-4-2-222-2-222222-2-2-2-22-441002-22-2-1-11-11-11−2i32i3−2i32i3000000000002-22i3−2i3-11-11−i3i3−i3i300i3−i3i3−i300000000000000000000000000000000000000000
χ1064-4-444-44-4-2-222-2-222222-2-2-2-22-441002-22-2-1-11-11-112i3−2i32i3−2i3000000000002-2−2i32i3-11-11i3−i3i3−i300−i3i3−i3i300000000000000000000000000000000000000000
χ1074-4-44-44-444-2-4-44-4422-2-22-22-4400-200000022-2-22-2200004-4-44000000000000000000000000000000000-222-200000000000000000000000000000
χ1084-4-44-44-444-2-4-44-4422-2-22-22-4400-200000022-2-22-220000-444-40000000000000000000000000000000002-2-2200000000000000000000000000000
χ1094-4-44-44-44-2422-22-2-4-444-44-42-200-200000022-2-22-22000000004-4-440000000000000000000000000000000000000-222-2000000000000000000000
χ1104-4-44-44-44-2422-22-2-4-444-44-42-200-200000022-2-22-2200000000-444-400000000000000000000000000000000000002-2-22000000000000000000000
χ1118888-8-8-8-8-4-4-4-4-444-4-4444-4444002000000222-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ11288-8-8-888-8-4-4-444-4-4-444-444-4440020000002-2-2-222-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1138-88-8-8-888-4-44-44-444-4-4444-44-4002000000-22-222-2-200000000000000000000000000000000000000000000000000000000000000000000000000
χ1148-8-88-88-88-4-444-44-444-4-44-444-4002000000-2-222-22-200000000000000000000000000000000000000000000000000000000000000000000000000

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