Finite Group Databasebeta

← Group #11824448

Character table — Group #11824448

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size111111112222222222222222222222222222444444444444444444444444444444444444444444444444444444446666121212121212121212121212121212121212121212121212121224242424242424242424363636367272
order1222222233444466666666666666121212121212121222344666666666666666666666661212121212121212121212121212121212121212121212121212121244442244444444666612121212121212121212121222666612121212444422
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ5111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111111111-1-1
χ6111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1-1-1-1-1-1-111
χ7111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111
χ8111111111111111111111111111111111111-1-11-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1
χ91111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11-111-1-111-1-111-1-11-1
χ101111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-11-1-111-1-111-1-111-11
χ111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1111111111-111-1-111-1-1-1-111-11
χ121111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111-1-111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-11-1-111-1-11111-1-11-1
χ131111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-11-1-11111-1-111-1-1-11
χ141111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-111-1-1-1-11111-1-1-1-111111-111-1-1-1-111-1-1111-1
χ151111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-111-1-11111-1-1-1-11111-1-1-1-1-11-1-11111-1-1-1-1111-1
χ161111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-11-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-11-111-1-1-1-11111-1-1-11
χ17222222222-122222222-1-1-1-1-1-1222-12222222222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000002222000000000000000022-1-1-1-1-1-1-1-1000000
χ18222222222-122222222-1-1-1-1-1-1222-12222222222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000-2-2-2-20000000000000000-2-211111111000000
χ19222222222-122222222-1-1-1-1-1-1222-122222222-2-2-1-2-2-2-2-2-21111-1-1-1-1-1-111111111-1-1-1-1-11111-2-2-2-2-1-1-1-1-1-1-1-111111111000000000022220000000000000000-2-21111-1-1-1-1000000
χ20222222222-122222222-1-1-1-1-1-1222-122222222-2-2-1-2-2-2-2-2-21111-1-1-1-1-1-111111111-1-1-1-1-11111-2-2-2-2-1-1-1-1-1-1-1-1111111110000000000-2-2-2-2000000000000000022-1-1-1-11111000000
χ21222222222-1-2-2-2-22222-1-1-1-1-1-1222-1-2-2-2-2-2-2-2-222-1-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-2-2-2-21111111111111111000000000022-2-200000000000000002-2-1-111-1-111000000
χ22222222222-1-2-2-2-22222-1-1-1-1-1-1222-1-2-2-2-2-2-2-2-222-1-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-2-2-2-211111111111111110000000000-2-2220000000000000000-2211-1-111-1-1000000
χ23222222222-1-2-2-2-22222-1-1-1-1-1-1222-1-2-2-2-2-2-2-2-2-2-2-122-2-2-2-21111-1-1-1-1-1-111111111-11111-1-1-1-1222211111111-1-1-1-1-1-1-1-1000000000022-2-20000000000000000-2211-1-1-1-111000000
χ24222222222-1-2-2-2-22222-1-1-1-1-1-1222-1-2-2-2-2-2-2-2-2-2-2-122-2-2-2-21111-1-1-1-1-1-111111111-11111-1-1-1-1222211111111-1-1-1-1-1-1-1-10000000000-2-22200000000000000002-2-1-11111-1-1000000
χ2522222222-122222-1-1-1-1222222-1-1-12-1-1-1-1-1-1-1-122-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222220000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2622222222-122222-1-1-1-1222222-1-1-12-1-1-1-1-1-1-1-122-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2-2-2000011111111111111110000000000000000
χ2722222222-122222-1-1-1-1222222-1-1-12-1-1-1-1-1-1-1-1-2-2-1-2-21111-2-2-2-2-1-1-1-1-1-111111111-12222-2-2-2-21111-1-1-1-1-1-1-1-1111111112222-2-222-2-200001111-1-1-1-1-1-1-1-111110000000000000000
χ2822222222-122222-1-1-1-1222222-1-1-12-1-1-1-1-1-1-1-1-2-2-1-2-21111-2-2-2-2-1-1-1-1-1-111111111-12222-2-2-2-21111-1-1-1-1-1-1-1-111111111-2-2-2-222-2-2220000-1-1-1-111111111-1-1-1-10000000000000000
χ2922222222-12-2-2-2-2-1-1-1-1222222-1-1-121111111122-1-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111111111222222-2-2-2-20000-1-1-1-1-1-1-1-1111111110000000000000000
χ3022222222-12-2-2-2-2-1-1-1-1222222-1-1-121111111122-1-2-2-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-211111111111111111111-2-2-2-2-2-22222000011111111-1-1-1-1-1-1-1-10000000000000000
χ3122222222-12-2-2-2-2-1-1-1-1222222-1-1-1211111111-2-2-1221111-2-2-2-2-1-1-1-1-1-111111111-1-2-2-2-22222-1-1-1-111111111-1-1-1-1-1-1-1-12222-2-2-2-22200001111-1-1-1-11111-1-1-1-10000000000000000
χ3222222222-12-2-2-2-2-1-1-1-1222222-1-1-1211111111-2-2-1221111-2-2-2-2-1-1-1-1-1-111111111-1-2-2-2-22222-1-1-1-111111111-1-1-1-1-1-1-1-1-2-2-2-22222-2-20000-1-1-1-11111-1-1-1-111110000000000000000
χ332222-2-2-2-222000022-2-2222-2-2-22-2-2-2000000000022i−2i00000000222-2-2-200000000-200002i2i−2i−2i2i2i−2i−2i000000002i2i2i2i−2i−2i−2i−2i22-2-200002i−2i0000000022-2-200002i2i−2i−2i0000000000000000
χ342222-2-2-2-222000022-2-2222-2-2-22-2-2-2000000000022i−2i00000000222-2-2-200000000-200002i2i−2i−2i2i2i−2i−2i000000002i2i2i2i−2i−2i−2i−2i-2-2220000−2i2i00000000-2-2220000−2i−2i2i2i0000000000000000
χ352222-2-2-2-222000022-2-2222-2-2-22-2-2-200000000002−2i2i00000000222-2-2-200000000-20000−2i−2i2i2i−2i−2i2i2i00000000−2i−2i−2i−2i2i2i2i2i22-2-20000−2i2i0000000022-2-20000−2i−2i2i2i0000000000000000
χ362222-2-2-2-222000022-2-2222-2-2-22-2-2-200000000002−2i2i00000000222-2-2-200000000-20000−2i−2i2i2i−2i−2i2i2i00000000−2i−2i−2i−2i2i2i2i2i-2-22200002i−2i00000000-2-22200002i2i−2i−2i0000000000000000
χ372222-2-2-2-2-120000-1-111222-2-2-2-111-23333−3−3−3−300-12i−2i−i3−i3i3i30000-1-1-1111−i3−i3−i3−i3i3i3i3i3100002i2i−2i−2i−i−iii3333−3−3−3−3−i−i−i−iiiii22-2-200002i−2i0000−i3−i3i3i3-1-11133−3−3−i−iii0000000000000000
χ382222-2-2-2-2-120000-1-111222-2-2-2-111-23333−3−3−3−300-12i−2i−i3−i3i3i30000-1-1-1111−i3−i3−i3−i3i3i3i3i3100002i2i−2i−2i−i−iii3333−3−3−3−3−i−i−i−iiiii-2-2220000−2i2i0000i3i3−i3−i311-1-1−3−333ii−i−i0000000000000000
χ392222-2-2-2-2-120000-1-111222-2-2-2-111-23333−3−3−3−300-1−2i2ii3i3−i3−i30000-1-1-1111i3i3i3i3−i3−i3−i3−i310000−2i−2i2i2iii−i−i3333−3−3−3−3iiii−i−i−i−i22-2-20000−2i2i0000i3i3−i3−i3-1-11133−3−3ii−i−i0000000000000000
χ402222-2-2-2-2-120000-1-111222-2-2-2-111-23333−3−3−3−300-1−2i2ii3i3−i3−i30000-1-1-1111i3i3i3i3−i3−i3−i3−i310000−2i−2i2i2iii−i−i3333−3−3−3−3iiii−i−i−i−i-2-22200002i−2i0000−i3−i3i3i311-1-1−3−333−i−iii0000000000000000
χ412222-2-2-2-2-120000-1-111222-2-2-2-111-2−3−3−3−3333300-12i−2ii3i3−i3−i30000-1-1-1111i3i3i3i3−i3−i3−i3−i3100002i2i−2i−2i−i−iii−3−3−3−33333−i−i−i−iiiii22-2-200002i−2i0000i3i3−i3−i3-1-111−3−333−i−iii0000000000000000
χ422222-2-2-2-2-120000-1-111222-2-2-2-111-2−3−3−3−3333300-12i−2ii3i3−i3−i30000-1-1-1111i3i3i3i3−i3−i3−i3−i3100002i2i−2i−2i−i−iii−3−3−3−33333−i−i−i−iiiii-2-2220000−2i2i0000−i3−i3i3i311-1-133−3−3ii−i−i0000000000000000
χ432222-2-2-2-2-120000-1-111222-2-2-2-111-2−3−3−3−3333300-1−2i2i−i3−i3i3i30000-1-1-1111−i3−i3−i3−i3i3i3i3i310000−2i−2i2i2iii−i−i−3−3−3−33333iiii−i−i−i−i22-2-20000−2i2i0000−i3−i3i3i3-1-111−3−333ii−i−i0000000000000000
χ442222-2-2-2-2-120000-1-111222-2-2-2-111-2−3−3−3−3333300-1−2i2i−i3−i3i3i30000-1-1-1111−i3−i3−i3−i3i3i3i3i310000−2i−2i2i2iii−i−i−3−3−3−33333iiii−i−i−i−i-2-22200002i−2i0000i3i3−i3−i311-1-133−3−3−i−iii0000000000000000
χ4522-2-2-222-22222-2-22-22-22-2-2-2-22-2-22222-2-222-2-200200000000002-2-22-2-200000000222-2-20000000022-2-222-2-20000000000000000002-22-200000000000000000000002-22-2000000
χ4622-2-2-222-22222-2-22-22-22-2-2-2-22-2-22222-2-222-2-200200000000002-2-22-2-200000000222-2-20000000022-2-222-2-2000000000000000000-22-220000000000000000000000-22-22000000
χ4722-2-2-222-222-2-2222-22-22-2-2-2-22-2-222-2-222-2-22200200000000002-2-22-2-2000000002-2-22200000000-2-222-2-2220000000000000000002-2-2200000000000000000000002-2-22000000
χ4822-2-2-222-222-2-2222-22-22-2-2-2-22-2-222-2-222-2-22200200000000002-2-22-2-2000000002-2-22200000000-2-222-2-222000000000000000000-222-20000000000000000000000-222-2000000
χ4922-2-2-222-22-122-2-22-22-2-11111-1-2-22-122-2-222-2-200-1000000−i3−i3i3i3-111-111−i3−i3i3i3−i3−i3i3i3-1-1-111−i3i3−i3i30000-1-111-1-111−i3−i3i3i3−i3−i3i3i300000000002-22-2000000000000000000−i3i3−i3i3-11-11000000
χ5022-2-2-222-22-122-2-22-22-2-11111-1-2-22-122-2-222-2-200-1000000−i3−i3i3i3-111-111−i3−i3i3i3−i3−i3i3i3-1-1-111−i3i3−i3i30000-1-111-1-111−i3−i3i3i3−i3−i3i3i30000000000-22-22000000000000000000i3−i3i3−i31-11-1000000
χ5122-2-2-222-22-122-2-22-22-2-11111-1-2-22-122-2-222-2-200-1000000i3i3−i3−i3-111-111i3i3−i3−i3i3i3−i3−i3-1-1-111i3−i3i3−i30000-1-111-1-111i3i3−i3−i3i3i3−i3−i300000000002-22-2000000000000000000i3−i3i3−i3-11-11000000
χ5222-2-2-222-22-122-2-22-22-2-11111-1-2-22-122-2-222-2-200-1000000i3i3−i3−i3-111-111i3i3−i3−i3i3i3−i3−i3-1-1-111i3−i3i3−i30000-1-111-1-111i3i3−i3−i3i3i3−i3−i30000000000-22-22000000000000000000−i3i3−i3i31-11-1000000
χ5322-2-2-222-22-1-2-2222-22-2-11111-1-2-22-1-2-222-2-22200-1000000−i3−i3i3i3-111-111−i3−i3i3i3−i3−i3i3i3-111-1-1i3−i3i3−i3000011-1-111-1-1i3i3−i3−i3i3i3−i3−i300000000002-2-22000000000000000000−i3i3i3−i3-111-1000000
χ5422-2-2-222-22-1-2-2222-22-2-11111-1-2-22-1-2-222-2-22200-1000000−i3−i3i3i3-111-111−i3−i3i3i3−i3−i3i3i3-111-1-1i3−i3i3−i3000011-1-111-1-1i3i3−i3−i3i3i3−i3−i30000000000-222-2000000000000000000i3−i3−i3i31-1-11000000
χ5522-2-2-222-22-1-2-2222-22-2-11111-1-2-22-1-2-222-2-22200-1000000i3i3−i3−i3-111-111i3i3−i3−i3i3i3−i3−i3-111-1-1−i3i3−i3i3000011-1-111-1-1−i3−i3i3i3−i3−i3i3i300000000002-2-22000000000000000000i3−i3−i3i3-111-1000000
χ5622-2-2-222-22-1-2-2222-22-2-11111-1-2-22-1-2-222-2-22200-1000000i3i3−i3−i3-111-111i3i3−i3−i3i3i3−i3−i3-111-1-1−i3i3−i3i3000011-1-111-1-1−i3−i3i3i3−i3−i3i3i30000000000-222-2000000000000000000−i3i3i3−i31-1-11000000
χ572-22-2-22-22222-22-2-22-22-22-22-22-2-22-22-22-22-22-20020000000000-22-2-22-20000000022-22-2000000002-22-22-22-20000000000000000000000000000000000000000000000002-22-200
χ582-22-2-22-22222-22-2-22-22-22-22-22-2-22-22-22-22-22-20020000000000-22-2-22-20000000022-22-2000000002-22-22-22-2000000000000000000000000000000000000000000000000-22-2200
χ592-22-2-22-2222-22-22-22-22-22-22-22-2-22-2-22-22-22-220020000000000-22-2-22-2000000002-22-2200000000-22-22-22-220000000000000000000000000000000000000000000000002-2-2200
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χ612-2-2222-2-2222-2-22-2-2-2-2-2-22-222222-22-2-222-2-220020000000000-2-22-2-220000000022-2-22000000002-2-222-2-22000000002-22-2002-200000000002-22-22-22-200000000000000000000
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χ822-2-22-2-222-12000011-1-1-2-222-2-2-1112−333−33−3−332-2-100-111-12-22-211-1-1-11-11-111-11-1100000000−333−3−333−33−3−33−33−333−33−3-222-2-22000000001-1-111-1-113−3−333−3−330000000000000000
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χ10544-4-4-444-4-24-4-444-22-224-4-4-4-4422-2422-2-222-2-200-20000000000-222-22200000000-2-4-4440000000022-2-222-2-2000000000000000000000000000000000000000000000000000000
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χ1304-4-4444-4-4-2-24-4-44222222-22-2-2-2-2-22-222-2-222-2001002i3−2i32i3−2i30000-1-11-1-11−i3i3−i3i3−i3i3−i3i31-222-200002i3−2i32i3−2i31-1-111-1-11−i3i3−i3i3−i3i3−i3i30000000000000000000000000000000000000000000000
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χ1344-4-44-4-4444-20000-4-44422-2-2224-4-4-200000000-44-200-444-42-22-222-2-2-222-22-2-22-22200000000000000000000000000000000000000000000000000000000000000000000000000
χ1354-4-44-4-444-2-2000022-2-222-2-222-222-223−23−2323−232323−234-4100-222-2-22-22-1-1111-11-11-1-11-11-10000000023−23−2323−333−33−3−33−33−333−33−30000000000000000000000000000000000000000000000
χ1364-4-44-4-444-2-2000022-2-222-2-222-222-223−23−2323−232323−23-441002-2-222-22-2-1-1111-1-11-111-11-1-100000000−232323−23−333−33−3−333−33−3−33−330000000000000000000000000000000000000000000000
χ1374-4-44-4-444-2-2000022-2-222-2-222-222-2−232323−2323−23−23234-4100-222-2-22-22-1-1111-11-11-1-11-11-100000000−232323−233−3−33−333−33−33−3−33−330000000000000000000000000000000000000000000000
χ1384-4-44-4-444-2-2000022-2-222-2-222-222-2−232323−2323−23−2323-441002-2-222-22-2-1-1111-1-11-111-11-1-10000000023−23−23233−3−33−333−3−33−333−33−30000000000000000000000000000000000000000000000

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