Finite Group Databasebeta

← Group #11863579

Character table — Group #11863579

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size11112222222222222222444444444444444444444444444121212121212121212121212242424242424363636361111222222222222222244444444444444444444444444412121212121212121212121224242424242436363636
order122222334466666612121212346666666666612121212121212121212121212128888242424242424242444121212122222222222664466666612121212646666666666612121212121212121212121212128888242424242424242444121212122222
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1
χ411111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111-1-1111111111111111-1-1-1-1-111-1-1-1-11-1-111-1-11111-1-1-1-111-1-11111-1-1-1-11-111-1-111-1-11111-1-1111111111111111-1-1-1-1-111-1-1-1-11-1-111-1-11111-1-1-1-111-1-11111-1-1-1-11-111-1-111-1-1
χ61111-1-1111111111111111-1-1-1-1-111-1-1-1-11-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1-11-1-111-1-1111111-1-1111111111111111-1-1-1-1-111-1-1-1-11-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1-11-1-111-1-111
χ71111-1-1111111111111111-1-1-1-1-111-1-1-1-11-1-111-1-11111-1-1-1-1-1-111-1-1-1-111111-111-1-1-1-1111111-1-1111111111111111-1-1-1-1-111-1-1-1-11-1-111-1-11111-1-1-1-1-1-111-1-1-1-111111-111-1-1-1-111
χ81111-1-1111111111111111-1-1-1-1-111-1-1-1-11-1-111-1-11111-1-1-1-1-1-111-1-1-1-11111-11-1-11111-1-11111-1-1111111111111111-1-1-1-1-111-1-1-1-11-1-111-1-11111-1-1-1-1-1-111-1-1-1-11111-11-1-11111-1-1
χ922222222-2-2222222-2-2-2-22-222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000022222222-2-2222222-2-2-2-22-222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000
χ102222222-12222-12-1-12222-1222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-100002222222-12222-12-1-12222-1222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-100000000000022-1-1-1-10000
χ112222222-12222-12-1-12222-1222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-2111100002222222-12222-12-1-12222-1222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-211110000
χ122222222-1-2-222-12-1-1-2-2-2-2-1-222-1-1-1-1-1-1-1-1-1-2-211111111111100000000000000−i3i3−i3i300002222222-1-2-222-12-1-1-2-2-2-2-1-222-1-1-1-1-1-1-1-1-1-2-211111111111100000000000000−i3i3−i3i30000
χ132222222-1-2-222-12-1-1-2-2-2-2-1-222-1-1-1-1-1-1-1-1-1-2-211111111111100000000000000i3−i3i3−i300002222222-1-2-222-12-1-1-2-2-2-2-1-222-1-1-1-1-1-1-1-1-1-2-211111111111100000000000000i3−i3i3−i30000
χ14222222-1222-1-12-122-1-1-1-1-12-1-122-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000222222-1222-1-12-122-1-1-1-1-12-1-122-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000
χ15222222-1222-1-12-122-1-1-1-1-12-1-122-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000222222-1222-1-12-122-1-1-1-1-12-1-122-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-2111111110000000000
χ16222222-12-2-2-1-12-1221111-1-2-1-122-1-1-1-1-1-1-111-2-2-2-211111111000033−3−333−3−30000000000222222-12-2-2-1-12-1221111-1-2-1-122-1-1-1-1-1-1-111-2-2-2-211111111000033−3−333−3−30000000000
χ17222222-12-2-2-1-12-1221111-1-2-1-122-1-1-1-1-1-1-111-2-2-2-2111111110000−3−333−3−3330000000000222222-12-2-2-1-12-1221111-1-2-1-122-1-1-1-1-1-1-111-2-2-2-2111111110000−3−333−3−3330000000000
χ182222-2-222-2-2222222-2-2-2-222-2-2-2-222-2-2-2-2222-2-222-2-2-2-2222200000000000000000000002222-2-222-2-2222222-2-2-2-222-2-2-2-222-2-2-2-2222-2-222-2-2-2-222220000000000000000000000
χ192222-2-22-12222-12-1-12222-1-2-2-211-1-11111-1-2-2-1-111-1-1-1-111110000000000002-2-1-11100002222-2-22-12222-12-1-12222-1-2-2-211-1-11111-1-2-2-1-111-1-1-1-111110000000000002-2-1-1110000
χ202222-2-22-12222-12-1-12222-1-2-2-211-1-11111-1-2-2-1-111-1-1-1-11111000000000000-2211-1-100002222-2-22-12222-12-1-12222-1-2-2-211-1-11111-1-2-2-1-111-1-1-1-11111000000000000-2211-1-10000
χ212222-2-22-1-2-222-12-1-1-2-2-2-2-12-2-211-1-11111-12211-1-11111-1-1-1-100000000000000−i3i3i3−i300002222-2-22-1-2-222-12-1-1-2-2-2-2-12-2-211-1-11111-12211-1-11111-1-1-1-100000000000000−i3i3i3−i30000
χ222222-2-22-1-2-222-12-1-1-2-2-2-2-12-2-211-1-11111-12211-1-11111-1-1-1-100000000000000i3−i3−i3i300002222-2-22-1-2-222-12-1-1-2-2-2-2-12-2-211-1-11111-12211-1-11111-1-1-1-100000000000000i3−i3−i3i30000
χ232222-2-2-1222-1-12-122-1-1-1-1-1-211-2-2-1-11111-11122-2-2-1-1-1-1111122-2-2-1-1-1-1111100000000002222-2-2-1222-1-12-122-1-1-1-1-1-211-2-2-1-11111-11122-2-2-1-1-1-1111122-2-2-1-1-1-111110000000000
χ242222-2-2-1222-1-12-122-1-1-1-1-1-211-2-2-1-11111-11122-2-2-1-1-1-11111-2-2221111-1-1-1-100000000002222-2-2-1222-1-12-122-1-1-1-1-1-211-2-2-1-11111-11122-2-2-1-1-1-11111-2-2221111-1-1-1-10000000000
χ252222-2-2-12-2-2-1-12-1221111-1211-2-2-1-11111-1-1-1-2-2221111-1-1-1-1000033−3−3−3−33300000000002222-2-2-12-2-2-1-12-1221111-1211-2-2-1-11111-1-1-1-2-2221111-1-1-1-1000033−3−3−3−3330000000000
χ262222-2-2-12-2-2-1-12-1221111-1211-2-2-1-11111-1-1-1-2-2221111-1-1-1-10000−3−33333−3−300000000002222-2-2-12-2-2-1-12-1221111-1211-2-2-1-11111-1-1-1-2-2221111-1-1-1-10000−3−33333−3−30000000000
χ2722-2-22-222002-22-2-2-20000202-22-22-222-2-2-200000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000000000022-2-22-222002-22-2-2-20000202-22-22-222-2-2-200000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20000000000
χ2822-2-22-222002-22-2-2-20000202-22-22-222-2-2-200000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2000000000022-2-22-222002-22-2-2-20000202-22-22-222-2-2-200000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i20000000000
χ2922-2-22-2-1200-1121-2-233−3−3-10-112-2-11-1-11113−3000033−3−333−3−3−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000000022-2-22-2-1200-1121-2-233−3−3-10-112-2-11-1-11113−3000033−3−333−3−3−i2i2−i2i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000000000
χ3022-2-22-2-1200-1121-2-233−3−3-10-112-2-11-1-11113−3000033−3−333−3−3i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000000022-2-22-2-1200-1121-2-233−3−3-10-112-2-11-1-11113−3000033−3−333−3−3i2−i2i2−i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000000000
χ3122-2-22-2-1200-1121-2-2−3−333-10-112-2-11-1-1111−330000−3−333−3−333−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000000022-2-22-2-1200-1121-2-2−3−333-10-112-2-11-1-1111−330000−3−333−3−333−i2i2−i2i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000000000
χ3222-2-22-2-1200-1121-2-2−3−333-10-112-2-11-1-1111−330000−3−333−3−333i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000000022-2-22-2-1200-1121-2-2−3−333-10-112-2-11-1-1111−330000−3−333−3−333i2−i2i2−i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000000000
χ3322-2-2-2222002-22-2-2-2000020-22-222-2-2-222-200000000000000−i2i2i2−i2−i2i2−i2i2i2−i2i2−i2000000000022-2-2-2222002-22-2-2-2000020-22-222-2-2-222-200000000000000−i2i2i2−i2−i2i2−i2i2i2−i2i2−i20000000000
χ3422-2-2-2222002-22-2-2-2000020-22-222-2-2-222-200000000000000i2−i2−i2i2i2−i2i2−i2−i2i2−i2i2000000000022-2-2-2222002-22-2-2-2000020-22-222-2-2-222-200000000000000i2−i2−i2i2i2−i2i2−i2−i2i2−i2i20000000000
χ3522-2-2-22-1200-1121-2-233−3−3-101-1-22-1111-1-11−33000033−3−3−3−333−i2i2i2−i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23000000000022-2-2-22-1200-1121-2-233−3−3-101-1-22-1111-1-11−33000033−3−3−3−333−i2i2i2−i2ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ230000000000
χ3622-2-2-22-1200-1121-2-233−3−3-101-1-22-1111-1-11−33000033−3−3−3−333i2−i2−i2i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ23000000000022-2-2-22-1200-1121-2-233−3−3-101-1-22-1111-1-11−33000033−3−3−3−333i2−i2−i2i2−ζ5−ζ7ζ5+ζ7−ζ13−ζ23ζ13+ζ23ζ5+ζ7−ζ5−ζ7ζ13+ζ23−ζ13−ζ230000000000
χ3722-2-2-22-1200-1121-2-2−3−333-101-1-22-1111-1-113−30000−3−33333−3−3−i2i2i2−i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7000000000022-2-2-22-1200-1121-2-2−3−333-101-1-22-1111-1-113−30000−3−33333−3−3−i2i2i2−i2ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ70000000000
χ3822-2-2-22-1200-1121-2-2−3−333-101-1-22-1111-1-113−30000−3−33333−3−3i2−i2−i2i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ7000000000022-2-2-22-1200-1121-2-2−3−333-101-1-22-1111-1-113−30000−3−33333−3−3i2−i2−i2i2−ζ13−ζ23ζ13+ζ23−ζ5−ζ7ζ5+ζ7ζ13+ζ23−ζ13−ζ23ζ5+ζ7−ζ5−ζ70000000000
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χ1314-4-44004-24-4-4-4242-24-44-4-200000220000-200-2200-22-2200000000000000000000000000-444-400-42-4444-2-4-22-44-44200000-2-200002002-2002-22-200000000000000000000000000
χ1324-4-44004-2-44-4-4242-2-44-44-200000220000-2002-2002-22-200000000000000000000000000-444-400-424-444-2-4-224-44-4200000-2-20000200-2200-22-2200000000000000000000000000
χ1334-4-4400-244-422-4-2-44-22-22-200000220000-2004-400-22-2200000000000000000000000000-444-4002-4-44-2-2424-42-22-2200000-2-20000200-44002-22-200000000000000000000000000
χ1344-4-4400-24-4422-4-2-442-22-2-200000220000-200-44002-22-200000000000000000000000000-444-4002-44-4-2-2424-4-22-22200000-2-200002004-400-22-2200000000000000000000000000
χ1354-4-4400-2-24-4222-22-2-22-22100000-1-13-3-33100-22001-11-1-333-30000000000000000000000-444-40022-44-2-2-22-222-22-2-10000011-333-3-1002-200-11-113-3-330000000000000000000000
χ1364-4-4400-2-24-4222-22-2-22-22100000-1-1-333-3100-22001-11-13-3-330000000000000000000000-444-40022-44-2-2-22-222-22-2-100000113-3-33-1002-200-11-11-333-30000000000000000000000
χ1374-4-4400-2-2-44222-22-22-22-2100000-1-13-3-331002-200-11-113-3-330000000000000000000000-444-400224-4-2-2-22-22-22-22-10000011-333-3-100-22001-11-1-333-30000000000000000000000
χ1384-4-4400-2-2-44222-22-22-22-2100000-1-1-333-31002-200-11-11-333-30000000000000000000000-444-400224-4-2-2-22-22-22-22-100000113-3-33-100-22001-11-13-3-330000000000000000000000

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