Finite Group Databasebeta

← Group #13169341

Character table — Group #13169341

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size11112222222222222222224444444444444444444444446666666666666666666666668888888888999912121212121212121212121212121212121212121212121212121818181818181818181824242424242424243636363672727272108108
order12223334466666666612121212333666666666121212121212121212121212224444446666121212121212121212121212366612121212121244444466666612121212121212121212121212121212121244121212121212121212121212121212122444612121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-111-1-11-11-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-11-111
χ51111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-111-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-11-1-1-1
χ61111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-1111
χ71111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-111111111-1-1
χ91111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111111-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-1-11-1-1111-11-111-1-1-11
χ101111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-111-1-1-11-11-1-1111-1
χ111111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-111111-1-11-1-111-1-111-111-11-1
χ121111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-11111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1-1-11111-111-111-1-111-1-11-1-11-11
χ131111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-111-1-1111111-1-1-1-1111111-1-1-1-111111-1-11-1-11111-1-11-1-111-1
χ141111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-111-1-1111111-1-1-1-1111111-1-1-1-11111-111-111-1-1-1-111-111-1-11
χ151111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-11111-1-1-1-11-1-11-1-111-11-11-1-111-11
χ161111111-1-1111111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11111-11-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-11111-1-1-1-1-111-111-1-11-11-111-1-11-1
χ17222222-12222-1-1222-122222-1-12-122-1-1-1-1-12-1-122-1-1-1-12222000022220000000022222222-1-1-1-1-1-1-1-1-1-1000022000000-1-1-1-100-1-1-1-1-1-1-1-100000000000000-1-122-1-1-1-12002-10-1000
χ18222222-12222-1-1222-122222-1-12-122-1-1-1-1-12-1-122-1-1-1-12222000022220000000022222222-1-1-1-1-1-1-1-1-1-10000-2-2000000-1-1-1-100-1-1-1-1-1-1-1-10000000000000011-2-21111-200-2101000
χ19222222-12222-1-1222-122222-1-12-122-1-1-1-1-12-1-122-1-1-1-122220000-2-2-2-200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-10000220000001111001111111100000000000000-1-122-1-1-1-1-200-2101000
χ20222222-12222-1-1222-122222-1-12-122-1-1-1-1-12-1-122-1-1-1-122220000-2-2-2-200000000-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-10000-2-2000000111100111111110000000000000011-2-211112002-10-1000
χ21222222-1-2-222-1-1222-12-2-2-2-2-1-12-122-1-1-1-1-1211-2-21111-2-2-2-2000022-2-2000000002222-2-2-2-2-1-1-1-111111100002-2000000-1-11100-1-1-1-1111100000000000000-11-2211-1-1200-2-101000
χ22222222-1-2-222-1-1222-12-2-2-2-2-1-12-122-1-1-1-1-1211-2-21111-2-2-2-2000022-2-2000000002222-2-2-2-2-1-1-1-11111110000-22000000-1-11100-1-1-1-11111000000000000001-12-2-1-111-200210-1000
χ23222222-1-2-222-1-1222-12-2-2-2-2-1-12-122-1-1-1-1-1211-2-21111-2-2-2-20000-2-22200000000-2-2-2-22222-1-1-1-111111100002-200000011-1-1001111-1-1-1-100000000000000-11-2211-1-1-200210-1000
χ24222222-1-2-222-1-1222-12-2-2-2-2-1-12-122-1-1-1-1-1211-2-21111-2-2-2-20000-2-22200000000-2-2-2-22222-1-1-1-11111110000-2200000011-1-1001111-1-1-1-1000000000000001-12-2-1-111200-2-101000
χ2522222-12222-1222-1-122-1-1-1-12-1-12-1-1-12-1-12-12222-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-122220022-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000000000000000000
χ2622222-12222-1222-1-122-1-1-1-12-1-12-1-1-12-1-12-12222-1-1-1-1-1-1-1-12222-2-2-2-2-1-1-1-1-1-1-1-111111111-1-1-1-122-1-1-1-1-2-2-2-20022-1-1-1-1-2-2-2-22211111111-1-1-1-1-2-211111111000000000000000000
χ2722222-12222-1222-1-122-1-1-1-12-1-12-1-1-12-1-12-12222-1-1-1-1-1-1-1-1-2-2-2-2222211111111-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-1-2-2-2-200-2-211112222-2-2-1-1-1-1-1-1-1-11111-2-211111111000000000000000000
χ2822222-12222-1222-1-122-1-1-1-12-1-12-1-1-12-1-12-12222-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111111111111111-1-1-1-122-1-1-1-1222200-2-21111-2-2-2-2-2-211111111111122-1-1-1-1-1-1-1-1000000000000000000
χ2922222-12-2-22-1222-1-12211112-1-12-1-1-12-1-12-1-2-2-2-21111111122-2-222-2-2-1-1-1-11111-1-1-1-11111-1-1-1-1-2-2111122220022-1-1-1-122-2-2-2-2-1-1-1-111111111-2-2-1-1-1-11111000000000000000000
χ3022222-12-2-22-1222-1-12211112-1-12-1-1-12-1-12-1-2-2-2-21111111122-2-2-2-222-1-1-1-111111111-1-1-1-1-1-1-1-1-2-21111-2-2-2-20022-1-1-1-1-2-222-2-21111-1-1-1-11111221111-1-1-1-1000000000000000000
χ3122222-12-2-22-1222-1-12211112-1-12-1-1-12-1-12-1-2-2-2-211111111-2-22222-2-21111-1-1-1-1-1-1-1-11111-1-1-1-1-2-21111-2-2-2-200-2-2111122-2-222-1-1-1-11111-1-1-1-1221111-1-1-1-1000000000000000000
χ3222222-12-2-22-1222-1-12211112-1-12-1-1-12-1-12-1-2-2-2-211111111-2-222-2-2221111-1-1-1-11111-1-1-1-1-1-1-1-1-2-21111222200-2-21111-2-222221111-1-1-1-1-1-1-1-1-2-2-1-1-1-11111000000000000000000
χ332222-12222-1222-1222-12222-12-1-1-1-12-122-1-122-1-12222-1-1-1-1222200002222222200000000-1-1-1-1-1-1-1-1-1-1000022-1-1-1-1-1-10000-1-100000000-1-1-1-1000000000022-1-1-1-1-1-102200-10-100
χ342222-12222-1222-1222-12222-12-1-1-1-12-122-1-122-1-12222-1-1-1-1222200002222222200000000-1-1-1-1-1-1-1-1-1-10000-2-2-1-1-1-1-1-10000-1-100000000-1-1-1-10000000000-2-21111110-2-20010100
χ352222-12222-1222-1222-12222-12-1-1-1-12-122-1-122-1-12222-1-1-1-1-2-2-2-20000-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-1-1000022111111000011000000001111000000000022-1-1-1-1-1-10-2-20010100
χ362222-12222-1222-1222-12222-12-1-1-1-12-122-1-122-1-12222-1-1-1-1-2-2-2-20000-2-2-2-2-2-2-2-200000000-1-1-1-1-1-1-1-1-1-10000-2-21111110000110000000011110000000000-2-211111102200-10-100
χ372222-122-2-2-1222-1222-1-2-2-2-2-12-1-1-1-12-122-1-1-2-211-2-2-2-2111122-2-200002222-2-2-2-200000000-1-1-1-111111100002-2-1-1-1-1-1-100001100000000111100000000002-21-111-1-10-2200-10100
χ382222-122-2-2-1222-1222-1-2-2-2-2-12-1-1-1-12-122-1-1-2-211-2-2-2-2111122-2-200002222-2-2-2-200000000-1-1-1-11111110000-22-1-1-1-1-1-10000110000000011110000000000-22-11-1-11102-20010-100
χ392222-122-2-2-1222-1222-1-2-2-2-2-12-1-1-1-12-122-1-1-2-211-2-2-2-21111-2-2220000-2-2-2-2222200000000-1-1-1-111111100002-21111110000-1-100000000-1-1-1-100000000002-21-111-1-102-20010-100
χ402222-122-2-2-1222-1222-1-2-2-2-2-12-1-1-1-12-122-1-1-2-211-2-2-2-21111-2-2220000-2-2-2-2222200000000-1-1-1-11111110000-221111110000-1-100000000-1-1-1-10000000000-22-11-1-1110-2200-10100
χ4122-2-222200-222-2-2-2-2-220000222-2-2-22-2-2-222000000000000002-2002i−2i000022-2-200002i2i−2i−2i2-2-220000002i2i−2i−2i00000000002i−2i2-200002i2i−2i−2i22-2-2002i2i−2i−2i0000000000000000000000
χ4222-2-222200-222-2-2-2-2-220000222-2-2-22-2-2-222000000000000002-200−2i2i000022-2-20000−2i−2i2i2i2-2-22000000−2i−2i2i2i0000000000−2i2i2-20000−2i−2i2i2i22-2-200−2i−2i2i2i0000000000000000000000
χ4322-2-222200-222-2-2-2-2-220000222-2-2-22-2-2-22200000000000000-22002i−2i0000-2-22200002i2i−2i−2i2-2-22000000−2i−2i2i2i00000000002i−2i-2200002i2i−2i−2i-2-22200−2i−2i2i2i0000000000000000000000
χ4422-2-222200-222-2-2-2-2-220000222-2-2-22-2-2-22200000000000000-2200−2i2i0000-2-2220000−2i−2i2i2i2-2-220000002i2i−2i−2i0000000000−2i2i-220000−2i−2i2i2i-2-222002i2i−2i−2i0000000000000000000000
χ4522-2-22-1200-2-12-2-211-22−i3−i3i3i32-1-1-211-1-2112-10000−i3−i3i3i3−i3−i3i3i3002-2002i−2i−i3−i3i3i3-1-11133−3−3−i−iii-111-100−i3−i3i3i32i2i−2i−2i0000−i3−i3i3i3002i−2i2-233−3−3−i−iii-1-11100−i−iii33−3−3000000000000000000
χ4622-2-22-1200-2-12-2-211-22−i3−i3i3i32-1-1-211-1-2112-10000−i3−i3i3i3−i3−i3i3i3002-200−2i2i−i3−i3i3i3-1-111−3−333ii−i−i-111-100−i3−i3i3i3−2i−2i2i2i0000−i3−i3i3i300−2i2i2-2−3−333ii−i−i-1-11100ii−i−i−3−333000000000000000000
χ4722-2-22-1200-2-12-2-211-22−i3−i3i3i32-1-1-211-1-2112-10000−i3−i3i3i3−i3−i3i3i300-22002i−2ii3i3−i3−i311-1-133−3−3−i−iii-111-100−i3−i3i3i3−2i−2i2i2i0000i3i3−i3−i3002i−2i-2233−3−3−i−iii11-1-100ii−i−i−3−333000000000000000000
χ4822-2-22-1200-2-12-2-211-22−i3−i3i3i32-1-1-211-1-2112-10000−i3−i3i3i3−i3−i3i3i300-2200−2i2ii3i3−i3−i311-1-1−3−333ii−i−i-111-100−i3−i3i3i32i2i−2i−2i0000i3i3−i3−i300−2i2i-22−3−333ii−i−i11-1-100−i−iii33−3−3000000000000000000
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χ5222-2-22-1200-2-12-2-211-22i3i3−i3−i32-1-1-211-1-2112-10000i3i3−i3−i3i3i3−i3−i300-2200−2i2i−i3−i3i3i311-1-133−3−3ii−i−i-111-100i3i3−i3−i32i2i−2i−2i0000−i3−i3i3i300−2i2i-2233−3−3ii−i−i11-1-100−i−iii−3−333000000000000000000
χ532-22-22222i−2i-2-2-2222-2-2-22i−2i2i−2i222-22-2-222-2-2-22i−2i2i−2i2i−2i2i−2i2i−2i2i−2i00000000000000000000000022-2-22i−2i2i−2i2i−2i2-22-2000000000000000000000000002i−2i2-22-22i−2i2i−2i000000000000000000
χ542-22-22222i−2i-2-2-2222-2-2-22i−2i2i−2i222-22-2-222-2-2-22i−2i2i−2i2i−2i2i−2i2i−2i2i−2i00000000000000000000000022-2-22i−2i2i−2i2i−2i-22-2200000000000000000000000000−2i2i-22-22−2i2i−2i2i000000000000000000
χ552-22-2222−2i2i-2-2-2222-2-2-2−2i2i−2i2i222-22-2-222-2-2-2−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i00000000000000000000000022-2-2−2i2i−2i2i−2i2i2-22-200000000000000000000000000−2i2i2-22-2−2i2i−2i2i000000000000000000
χ562-22-2222−2i2i-2-2-2222-2-2-2−2i2i−2i2i222-22-2-222-2-2-2−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i00000000000000000000000022-2-2−2i2i−2i2i−2i2i-22-22000000000000000000000000002i−2i-22-222i−2i2i−2i000000000000000000
χ572-22-22-122i−2i-21-222-11-2-2−ii−ii2-1-1-2-1112-11-212i−2i2i−2i−ii−ii−ii−ii00000000−i3i3−i3i33−33−3−i3i3−i3i33−33−3-1-1112i−2i−ii−ii2-22-20000−i3i3−i3i3000000−i3i3−i3i33−33−33−33−32i−2i-11-11−ii−ii000000000000000000
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χ13188-8-8-48-40048-444-8-84-400002-4-4-244-4-2442-40000000000000000000000000000000000002-2-220000000000000000000000000000000000000000000000000000000000000000
χ13288-8-8-4-4-4004-4-444444-4−4i3−4i34i34i3222-2-2-22-2-2-22200002i32i3−2i3−2i32i32i3−2i3−2i3000000000000000000000000-111-100−i3−i3i3i30000000000000000000000000000000000000000000000000000000000
χ13388-8-8-4-4-4004-4-444444-44i34i3−4i3−4i3222-2-2-22-2-2-2220000−2i3−2i32i32i3−2i3−2i32i32i3000000000000000000000000-111-100i3i3−i3−i30000000000000000000000000000000000000000000000000000000000
χ1348-88-8-4-4-48i−8i444-4-4-4444−4i4i−4i4i222-22-2-222-2-2-2−4i4i−4i4i2i−2i2i−2i2i−2i2i−2i000000000000000000000000-1-1112i−2i−ii−ii0000000000000000000000000000000000000000000000000000000000
χ1358-88-8-4-4-4−8i8i444-4-4-44444i−4i4i−4i222-22-2-222-2-2-24i−4i4i−4i−2i2i−2i2i−2i2i−2i2i000000000000000000000000-1-111−2i2ii−ii−i0000000000000000000000000000000000000000000000000000000000
χ1368-8-88-48-400-4-8444-88-4400002-4-424-44-24-4-240000000000000000000000000000000000002-22-20000000000000000000000000000000000000000000000000000000000000000
χ1378-8-88-4-4-400-444444-4-4443−43−43432222-22-2-2-22-2-20000−232323−23−232323−23000000000000000000000000-11-11003−3−330000000000000000000000000000000000000000000000000000000000
χ1388-8-88-4-4-400-444444-4-44−434343−432222-22-2-2-22-2-2000023−23−232323−23−2323000000000000000000000000-11-1100−333−30000000000000000000000000000000000000000000000000000000000

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