Finite Group Databasebeta

← Group #11817811

Character table — Group #11817811

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size111111112222222222222222222222222222444444444444444444444444444444444444444444444444444444446666121212121212121212121212121212121212121212121212121224242424242424242424363636367272
order122222223344446666666666666612121212121212123444466666661212121212121212121212121212121212121212121212121212121212121212121212121212121212121212444422444444446666121212121212121212121212441212121212121212444424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
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
χ51111111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-11111-1-1
χ61111111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-111-1-111-1-1-1-111
χ71111111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-111-1-1-1-1-1-111
χ81111111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-111-1-1111111-1-1
χ91111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-111-1-1-1-111-1-1-1-11111-1-1-1-111111-11111-1-1-1-111-1-1-11
χ101111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-11-1-1-1-11111-1-1111-1
χ111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-11111-1-1-1-11-11111-1-1-1-1-1-1111-1
χ121111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111-1-11111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-11111-1-1-1-11111-1-1-1-1-11-1-1-1-1111111-1-1-11
χ131111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1111-1-1-1-11111-1-11-1
χ141111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-111-11
χ151111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-111111111-1111-1-1-1-111-1-111-11
χ161111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11-1-1111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111111111-1-1-11111-1-111-1-11-1
χ17222222222-12222222-1-1-1-122-1-1-122-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222200220022-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ18222222222-12222222-1-1-1-122-1-1-122-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-200-2-200-2-211111111111111110000000000000000
χ19222222222-12222222-1-1-1-122-1-1-122-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-211111111-2-2-2-2-1-1-1-1-1-1-1-111111111111111112222-2-2002200-2-21111-1-1-1-1-1-1-1-111110000000000000000
χ20222222222-12222222-1-1-1-122-1-1-122-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-211111111-2-2-2-2-1-1-1-1-1-1-1-11111111111111111-2-2-2-22200-2-20022-1-1-1-111111111-1-1-1-10000000000000000
χ21222222222-1-2-2-2-2222-1-1-1-122-1-1-12211111111-122-2-2-1-1-1-1-1-1-1-2-2-2-22222-1-1-1-11111-2-2-2-211111111-1-1-1-1-1-1-1-1111111112222-2-200-2-200221111-1-1-1-11111-1-1-1-10000000000000000
χ22222222222-1-2-2-2-2222-1-1-1-122-1-1-12211111111-122-2-2-1-1-1-1-1-1-1-2-2-2-22222-1-1-1-11111-2-2-2-211111111-1-1-1-1-1-1-1-111111111-2-2-2-222002200-2-2-1-1-1-11111-1-1-1-111110000000000000000
χ23222222222-1-2-2-2-2222-1-1-1-122-1-1-12211111111-1-2-222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111-1-1-1-122221111111111111111-1-1-1-1-1-1-1-122222200-2-200-2-2-1-1-1-1-1-1-1-1111111110000000000000000
χ24222222222-1-2-2-2-2222-1-1-1-122-1-1-12211111111-1-2-222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-21111-1-1-1-122221111111111111111-1-1-1-1-1-1-1-1-2-2-2-2-2-20022002211111111-1-1-1-1-1-1-1-10000000000000000
χ2522222222-122222-1-1-12222-1-1222-1-122222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000022002200000000000000000022-1-1-1-1-1-1-1-1000000
χ2622222222-122222-1-1-12222-1-1222-1-122222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000-2-200-2-2000000000000000000-2-211111111000000
χ2722222222-122222-1-1-12222-1-1222-1-122222222-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-2-2-2-2-21111-1-1-1-1-1-1-1-11111111111111111000000220022000000000000000000-2-2-1-111-1-111000000
χ2822222222-122222-1-1-12222-1-1222-1-122222222-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-11111-2-2-2-2-2-2-2-21111-1-1-1-1-1-1-1-11111111111111111000000-2-200-2-20000000000000000002211-1-111-1-1000000
χ2922222222-12-2-2-2-2-1-1-12222-1-1222-1-1-2-2-2-2-2-2-2-2-122-2-2-1-1-1-1-1-1-11111-1-1-1-12222-2-2-2-2111111111111-1-1-1-1-1-1-1-1111111110000002200-2-20000000000000000002-2-1-1-1-11111000000
χ3022222222-12-2-2-2-2-1-1-12222-1-1222-1-1-2-2-2-2-2-2-2-2-122-2-2-1-1-1-1-1-1-11111-1-1-1-12222-2-2-2-2111111111111-1-1-1-1-1-1-1-111111111000000-2-20022000000000000000000-221111-1-1-1-1000000
χ3122222222-12-2-2-2-2-1-1-12222-1-1222-1-1-2-2-2-2-2-2-2-2-1-2-222-1-1-1-1-1-1-111111111-2-2-2-22222-1-1-1-11111111111111111-1-1-1-1-1-1-1-10000002200-2-2000000000000000000-22-1-11111-1-1000000
χ3222222222-12-2-2-2-2-1-1-12222-1-1222-1-1-2-2-2-2-2-2-2-2-1-2-222-1-1-1-1-1-1-111111111-2-2-2-22222-1-1-1-11111111111111111-1-1-1-1-1-1-1-1000000-2-200220000000000000000002-211-1-1-1-111000000
χ3322-22-2-2-222200002-2-222-2-22-22-2-22-2000000002002i−2i22-2-22-2-20000000000002i2i−2i−2i2i2i−2i−2i00000000000000002i2i2i2i−2i−2i−2i−2i2i2i−2i−2i2-20000000022-2-22i2i−2i−2i000000000000000000000000
χ3422-22-2-2-222200002-2-222-2-22-22-2-22-2000000002002i−2i22-2-22-2-20000000000002i2i−2i−2i2i2i−2i−2i00000000000000002i2i2i2i−2i−2i−2i−2i−2i−2i2i2i-2200000000-2-222−2i−2i2i2i000000000000000000000000
χ3522-22-2-2-222200002-2-222-2-22-22-2-22-200000000200−2i2i22-2-22-2-2000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000−2i−2i−2i−2i2i2i2i2i2i2i−2i−2i-2200000000-2-2222i2i−2i−2i000000000000000000000000
χ3622-22-2-2-222200002-2-222-2-22-22-2-22-200000000200−2i2i22-2-22-2-2000000000000−2i−2i2i2i−2i−2i2i2i0000000000000000−2i−2i−2i−2i2i2i2i2i−2i−2i2i2i2-20000000022-2-2−2i−2i2i2i000000000000000000000000
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χ3822-22-2-2-222-100002-2-2-1-1112-2-1112-2−i3−i3−i3−i3i3i3i3i3-1002i−2i-1-111-1110000000033−3−3−i−iii2i2i−2i−2i−i3−i3−i3−i3i3i3i3i33333−3−3−3−3−i−i−i−iiiii−2i−2i2i2i-220000000011-1-1ii−i−i−3−333i3i3−i3−i30000000000000000
χ3922-22-2-2-222-100002-2-2-1-1112-2-1112-2−i3−i3−i3−i3i3i3i3i3-100−2i2i-1-111-11100000000−3−333ii−i−i−2i−2i2i2i−i3−i3−i3−i3i3i3i3i3−3−3−3−33333iiii−i−i−i−i2i2i−2i−2i-220000000011-1-1−i−iii33−3−3i3i3−i3−i30000000000000000
χ4022-22-2-2-222-100002-2-2-1-1112-2-1112-2−i3−i3−i3−i3i3i3i3i3-100−2i2i-1-111-11100000000−3−333ii−i−i−2i−2i2i2i−i3−i3−i3−i3i3i3i3i3−3−3−3−33333iiii−i−i−i−i−2i−2i2i2i2-200000000-1-111ii−i−i−3−333−i3−i3i3i30000000000000000
χ4122-22-2-2-222-100002-2-2-1-1112-2-1112-2i3i3i3i3−i3−i3−i3−i3-1002i−2i-1-111-11100000000−3−333−i−iii2i2i−2i−2ii3i3i3i3−i3−i3−i3−i3−3−3−3−33333−i−i−i−iiiii2i2i−2i−2i2-200000000-1-111−i−iii−3−333i3i3−i3−i30000000000000000
χ4222-22-2-2-222-100002-2-2-1-1112-2-1112-2i3i3i3i3−i3−i3−i3−i3-1002i−2i-1-111-11100000000−3−333−i−iii2i2i−2i−2ii3i3i3i3−i3−i3−i3−i3−3−3−3−33333−i−i−i−iiiii−2i−2i2i2i-220000000011-1-1ii−i−i33−3−3−i3−i3i3i30000000000000000
χ4322-22-2-2-222-100002-2-2-1-1112-2-1112-2i3i3i3i3−i3−i3−i3−i3-100−2i2i-1-111-1110000000033−3−3ii−i−i−2i−2i2i2ii3i3i3i3−i3−i3−i3−i33333−3−3−3−3iiii−i−i−i−i2i2i−2i−2i-220000000011-1-1−i−iii−3−333−i3−i3i3i30000000000000000
χ4422-22-2-2-222-100002-2-2-1-1112-2-1112-2i3i3i3i3−i3−i3−i3−i3-100−2i2i-1-111-1110000000033−3−3ii−i−i−2i−2i2i2ii3i3i3i3−i3−i3−i3−i33333−3−3−3−3iiii−i−i−i−i−2i−2i2i2i2-200000000-1-111ii−i−i33−3−3i3i3−i3−i30000000000000000
χ4522-2-22-22-2222i2i−2i−2i22-22-22-2-2-2-22-2-222i2i−2i−2i2i2i−2i−2i200002-22-2-22-22i2i−2i−2i00000000000000002i2i−2i−2i2i2i−2i−2i000000000000000000000000000000000000000000000000000000002-22i−2i00
χ4622-2-22-22-2222i2i−2i−2i22-22-22-2-2-2-22-2-222i2i−2i−2i2i2i−2i−2i200002-22-2-22-22i2i−2i−2i00000000000000002i2i−2i−2i2i2i−2i−2i00000000000000000000000000000000000000000000000000000000-22−2i2i00
χ4722-2-22-22-222−2i−2i2i2i22-22-22-2-2-2-22-2-22−2i−2i2i2i−2i−2i2i2i200002-22-2-22-2−2i−2i2i2i0000000000000000−2i−2i2i2i−2i−2i2i2i000000000000000000000000000000000000000000000000000000002-2−2i2i00
χ4822-2-22-22-222−2i−2i2i2i22-22-22-2-2-2-22-2-22−2i−2i2i2i−2i−2i2i2i200002-22-2-22-2−2i−2i2i2i0000000000000000−2i−2i2i2i−2i−2i2i2i00000000000000000000000000000000000000000000000000000000-222i−2i00
χ492-2222-2-2-2222i−2i2i−2i-22-2-222-2-22-2-222-22i−2i2i−2i2i−2i2i−2i20000-222-2-2-222i−2i2i−2i00000000000000002i−2i2i−2i2i−2i2i−2i00000000000000000000002-2002i−2i000000000000000000002-2002i−2i00000000
χ502-2222-2-2-2222i−2i2i−2i-22-2-222-2-22-2-222-22i−2i2i−2i2i−2i2i−2i20000-222-2-2-222i−2i2i−2i00000000000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000-2200−2i2i00000000000000000000-2200−2i2i00000000
χ512-2222-2-2-222−2i2i−2i2i-22-2-222-2-22-2-222-2−2i2i−2i2i−2i2i−2i2i20000-222-2-2-22−2i2i−2i2i0000000000000000−2i2i−2i2i−2i2i−2i2i00000000000000000000002-200−2i2i000000000000000000002-200−2i2i00000000
χ522-2222-2-2-222−2i2i−2i2i-22-2-222-2-22-2-222-2−2i2i−2i2i−2i2i−2i2i20000-222-2-2-22−2i2i−2i2i0000000000000000−2i2i−2i2i−2i2i−2i2i0000000000000000000000-22002i−2i00000000000000000000-22002i−2i00000000
χ532-2222-2-2-2-122i−2i2i−2i1-11-222-21-1-2-22-112i−2i2i−2i2i−2i2i−2i-100001-1-1111-1−ii−ii−i3−i3i3i3000000003−33−3−ii−ii−ii−ii−i3−i3i3i3−i3−i3i3i333−3−333−3−30000002-2002i−2i00000000000000000000-11−i3i3−ii3−3000000
χ542-2222-2-2-2-122i−2i2i−2i1-11-222-21-1-2-22-112i−2i2i−2i2i−2i2i−2i-100001-1-1111-1−ii−ii−i3−i3i3i3000000003−33−3−ii−ii−ii−ii−i3−i3i3i3−i3−i3i3i333−3−333−3−3000000-2200−2i2i000000000000000000001-1i3−i3i−i−33000000
χ552-2222-2-2-2-122i−2i2i−2i1-11-222-21-1-2-22-112i−2i2i−2i2i−2i2i−2i-100001-1-1111-1−ii−iii3i3−i3−i300000000−33−33−ii−ii−ii−iii3i3−i3−i3i3i3−i3−i3−3−333−3−3330000002-2002i−2i00000000000000000000-11i3−i3−ii−33000000
χ562-2222-2-2-2-122i−2i2i−2i1-11-222-21-1-2-22-112i−2i2i−2i2i−2i2i−2i-100001-1-1111-1−ii−iii3i3−i3−i300000000−33−33−ii−ii−ii−iii3i3−i3−i3i3i3−i3−i3−3−333−3−333000000-2200−2i2i000000000000000000001-1−i3i3i−i3−3000000
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χ1264-4-44-444-44-20000-4-442-22-2-4-42-2244−2323−232323−2323−23-200002-22-22-2200000000000000000000−2323−232323−2323−2300000000000000000000000000000000000000000000000000000000000000
χ1274-4-44-444-4-24000022-2-44-4422-44-4-2-200000000-200002-22-22-220000000000000000−2i32i32i3−2i30000000000000000−2i3−2i32i32i32i32i3−2i3−2i30000000000000000000000000000000000000000000000
χ1284-4-44-444-4-24000022-2-44-4422-44-4-2-200000000-200002-22-22-2200000000000000002i3−2i3−2i32i300000000000000002i32i3−2i3−2i3−2i3−2i32i32i30000000000000000000000000000000000000000000000
χ1294-4-44-444-4-2-2000022-22-22-2222-22-2-223−2323−23−2323−232310000-11-11-11-10000000000000000−2i32i32i3−2i3−33−333−33−33i3i−3i−3i−3i−3i3i3ii3i3−i3−i3−i3−i3i3i30000000000000000000000000000000000000000000000
χ1304-4-44-444-4-2-2000022-22-22-2222-22-2-223−2323−23−2323−232310000-11-11-11-100000000000000002i3−2i3−2i32i3−33−333−33−3−3i−3i3i3i3i3i−3i−3i−i3−i3i3i3i3i3−i3−i30000000000000000000000000000000000000000000000
χ1314-4-44-444-4-2-2000022-22-22-2222-22-2-2−2323−232323−2323−2310000-11-11-11-10000000000000000−2i32i32i3−2i33−33−3−33−33−3i−3i3i3i3i3i−3i−3ii3i3−i3−i3−i3−i3i3i30000000000000000000000000000000000000000000000
χ1324-4-44-444-4-2-2000022-22-22-2222-22-2-2−2323−232323−2323−2310000-11-11-11-100000000000000002i3−2i3−2i32i33−33−3−33−333i3i−3i−3i−3i−3i3i3i−i3−i3i3i3i3i3−i3−i30000000000000000000000000000000000000000000000
χ1334-4-4-444-44-244-4-442-2-2-4-444-224-4-4224-4-444-4-44-2000022-2-2-222-222-20000000000000000-222-2-222-200000000000000000000000000000000000000000000000000000000000000
χ1344-4-4-444-44-24-444-42-2-2-4-444-224-4-422-444-4-444-4-2000022-2-2-2222-2-2200000000000000002-2-222-2-2200000000000000000000000000000000000000000000000000000000000000
χ1354-4-4-444-44-2-24-4-442-2-222-2-2-22-22222-222-2-222-210000-1-1111-1-1-222-2000023−23−232323−23−232300001-1-111-1-11−33−333−33−3−33−333−33−30000000000000000000000000000000000000000000000
χ1364-4-4-444-44-2-24-4-442-2-222-2-2-22-22222-222-2-222-210000-1-1111-1-1-222-20000−232323−23−232323−2300001-1-111-1-113−33−3−33−333−33−3−33−330000000000000000000000000000000000000000000000
χ1374-4-4-444-44-2-2-444-42-2-222-2-2-22-222222-2-222-2-2210000-1-1111-1-12-2-22000023−23−2323−232323−230000-111-1-111-1−33−333−33−33−33−3−33−330000000000000000000000000000000000000000000000
χ1384-4-4-444-44-2-2-444-42-2-222-2-2-22-222222-2-222-2-2210000-1-1111-1-12-2-220000−232323−2323−23−23230000-111-1-111-13−33−3−33−33−33−333−33−30000000000000000000000000000000000000000000000

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