Finite Group Databasebeta

← Group #11817813

Character table — Group #11817813

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138
size111111112222222222222222222222222222444444444444444444444444444444444444444444444444444444446666121212121212121212121212121212121212121212121212121224242424242424242424363636367272
order1222222233444466666666666666121212121212121234444666666612121212121212121212121212121212121212121212121212121212121212121212121212121212121212124444224444444466661212121212121212121212122466121212121212444444
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
χ51111111111111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1111111-1-1
χ61111111111111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-111-1-1-1-1-1-111
χ71111111111111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-111
χ81111111111111111111111111111111111111-1-1-1-11111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-111-1-11111-1-1
χ91111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-11111-11-1-11111-1-111-1-11-1
χ101111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-1-1-111111-111-1-1-1-111-1-111-11
χ111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-11111-1-1-1-1-11-1-11111-1-1-1-111-11
χ121111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1111-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-11111-1-1-1-11-111-1-1-1-11111-1-11-1
χ131111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-11111-1-1-1-111-1-1-11
χ141111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1111-1
χ151111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1-1-1111111111-11111-1-1-1-1-1-1111-1
χ161111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-11-1-1111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-111111111-11-1-1-1-1111111-1-1-11
χ17222222222-122222222-1-1-1-1-1-1222-122222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000022002200000000000000000022-1-1-1-1-1-1-1-1000000
χ18222222222-122222222-1-1-1-1-1-1222-122222222-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000-2-200-2-2000000000000000000-2-211111111000000
χ19222222222-122222222-1-1-1-1-1-1222-122222222-1-2-2-2-2-1-1-1-1-1-1-111111111-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111000000220022000000000000000000-2-211-1-111-1-1000000
χ20222222222-122222222-1-1-1-1-1-1222-122222222-1-2-2-2-2-1-1-1-1-1-1-111111111-1-1-1-1-2-2-2-2-2-2-2-2-1-1-1-1-1-1-1-11111111111111111000000-2-200-2-200000000000000000022-1-111-1-111000000
χ21222222222-1-2-2-2-22222-1-1-1-1-1-1222-1-2-2-2-2-2-2-2-2-122-2-2-1-1-1-1-1-1-1-1-1-1-1111111112222-2-2-2-211111111-1-1-1-1-1-1-1-1111111110000002200-2-2000000000000000000-2211-1-1-1-111000000
χ22222222222-1-2-2-2-22222-1-1-1-1-1-1222-1-2-2-2-2-2-2-2-2-122-2-2-1-1-1-1-1-1-1-1-1-1-1111111112222-2-2-2-211111111-1-1-1-1-1-1-1-111111111000000-2-200220000000000000000002-2-1-11111-1-1000000
χ23222222222-1-2-2-2-22222-1-1-1-1-1-1222-1-2-2-2-2-2-2-2-2-1-2-222-1-1-1-1-1-1-11111-1-1-1-11111-2-2-2-222221111111111111111-1-1-1-1-1-1-1-10000002200-2-20000000000000000002-2-1-1-1-11111000000
χ24222222222-1-2-2-2-22222-1-1-1-1-1-1222-1-2-2-2-2-2-2-2-2-1-2-222-1-1-1-1-1-1-11111-1-1-1-11111-2-2-2-222221111111111111111-1-1-1-1-1-1-1-1000000-2-20022000000000000000000-221111-1-1-1-1000000
χ2522222222-122222-1-1-1-1222222-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222200220022-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2622222222-122222-1-1-1-1222222-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-200-2-200-2-211111111111111110000000000000000
χ2722222222-122222-1-1-1-1222222-1-1-12-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2222211111111-1-1-1-1-1-1-1-111111111111111112222-2-200-2-200221111-1-1-1-1-1-1-1-111110000000000000000
χ2822222222-122222-1-1-1-1222222-1-1-12-1-1-1-1-1-1-1-1-1-2-2-2-2-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2222211111111-1-1-1-1-1-1-1-11111111111111111-2-2-2-222002200-2-2-1-1-1-111111111-1-1-1-10000000000000000
χ2922222222-12-2-2-2-2-1-1-1-1222222-1-1-1211111111-122-2-2-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1111111111111-1-1-1-1-1-1-1-1111111112222-2-2002200-2-21111-1-1-1-11111-1-1-1-10000000000000000
χ3022222222-12-2-2-2-2-1-1-1-1222222-1-1-1211111111-122-2-2-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-2-1-1-1-1111111111111-1-1-1-1-1-1-1-111111111-2-2-2-22200-2-20022-1-1-1-11111-1-1-1-111110000000000000000
χ3122222222-12-2-2-2-2-1-1-1-1222222-1-1-1211111111-1-2-222-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-21111-1-1-1-11111111111111111-1-1-1-1-1-1-1-122222200-2-200-2-2-1-1-1-1-1-1-1-1111111110000000000000000
χ3222222222-12-2-2-2-2-1-1-1-1222222-1-1-1211111111-1-2-222-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-21111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-2-2-2-2-2-20022002211111111-1-1-1-1-1-1-1-10000000000000000
χ33222-2-2-2-22222i2i−2i−2i22-2-22-22-22-22-2-2-22i2i2i2i−2i−2i−2i−2i2000022-2-22-2-2000000002i2i−2i−2i000000002i2i2i2i−2i−2i−2i−2i00000000000000000000002-2002i−2i00000000000000000000002-2002i−2i000000
χ34222-2-2-2-22222i2i−2i−2i22-2-22-22-22-22-2-2-22i2i2i2i−2i−2i−2i−2i2000022-2-22-2-2000000002i2i−2i−2i000000002i2i2i2i−2i−2i−2i−2i0000000000000000000000-2200−2i2i0000000000000000000000-2200−2i2i000000
χ35222-2-2-2-2222−2i−2i2i2i22-2-22-22-22-22-2-2-2−2i−2i−2i−2i2i2i2i2i2000022-2-22-2-200000000−2i−2i2i2i00000000−2i−2i−2i−2i2i2i2i2i00000000000000000000002-200−2i2i00000000000000000000002-200−2i2i000000
χ36222-2-2-2-2222−2i−2i2i2i22-2-22-22-22-22-2-2-2−2i−2i−2i−2i2i2i2i2i2000022-2-22-2-200000000−2i−2i2i2i00000000−2i−2i−2i−2i2i2i2i2i0000000000000000000000-22002i−2i0000000000000000000000-22002i−2i000000
χ37222-2-2-2-222-12i2i−2i−2i22-2-2-11-11-112-2-212i2i2i2i−2i−2i−2i−2i-10000-1-111-11133−3−3−i3−i3i3i3−i−iii00000000−i−i−i−iiiii3333−3−3−3−3−i3−i3−i3−i3i3i3i3i30000002-2002i−2i00000000000000000000−i3i3-113−3−ii000000
χ38222-2-2-2-222-12i2i−2i−2i22-2-2-11-11-112-2-212i2i2i2i−2i−2i−2i−2i-10000-1-111-11133−3−3−i3−i3i3i3−i−iii00000000−i−i−i−iiiii3333−3−3−3−3−i3−i3−i3−i3i3i3i3i3000000-2200−2i2i00000000000000000000i3−i31-1−33i−i000000
χ39222-2-2-2-222-12i2i−2i−2i22-2-2-11-11-112-2-212i2i2i2i−2i−2i−2i−2i-10000-1-111-111−3−333i3i3−i3−i3−i−iii00000000−i−i−i−iiiii−3−3−3−33333i3i3i3i3−i3−i3−i3−i30000002-2002i−2i00000000000000000000i3−i3-11−33−ii000000
χ40222-2-2-2-222-12i2i−2i−2i22-2-2-11-11-112-2-212i2i2i2i−2i−2i−2i−2i-10000-1-111-111−3−333i3i3−i3−i3−i−iii00000000−i−i−i−iiiii−3−3−3−33333i3i3i3i3−i3−i3−i3−i3000000-2200−2i2i00000000000000000000−i3i31-13−3i−i000000
χ41222-2-2-2-222-1−2i−2i2i2i22-2-2-11-11-112-2-21−2i−2i−2i−2i2i2i2i2i-10000-1-111-11133−3−3i3i3−i3−i3ii−i−i00000000iiii−i−i−i−i3333−3−3−3−3i3i3i3i3−i3−i3−i3−i30000002-200−2i2i00000000000000000000i3−i3-113−3i−i000000
χ42222-2-2-2-222-1−2i−2i2i2i22-2-2-11-11-112-2-21−2i−2i−2i−2i2i2i2i2i-10000-1-111-11133−3−3i3i3−i3−i3ii−i−i00000000iiii−i−i−i−i3333−3−3−3−3i3i3i3i3−i3−i3−i3−i3000000-22002i−2i00000000000000000000−i3i31-1−33−ii000000
χ43222-2-2-2-222-1−2i−2i2i2i22-2-2-11-11-112-2-21−2i−2i−2i−2i2i2i2i2i-10000-1-111-111−3−333−i3−i3i3i3ii−i−i00000000iiii−i−i−i−i−3−3−3−33333−i3−i3−i3−i3i3i3i3i30000002-200−2i2i00000000000000000000−i3i3-11−33i−i000000
χ44222-2-2-2-222-1−2i−2i2i2i22-2-2-11-11-112-2-21−2i−2i−2i−2i2i2i2i2i-10000-1-111-111−3−333−i3−i3i3i3ii−i−i00000000iiii−i−i−i−i−3−3−3−33333−i3−i3−i3−i3i3i3i3i3000000-22002i−2i00000000000000000000i3−i31-13−3−ii000000
χ4522-2-2-222-22200002-22-222-2-2-2-2-22-22000000002002i−2i2-22-2-22-200002i−2i2i−2i000000002i2i−2i−2i00000000000000002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2-20000000022-2-22i2i−2i−2i000000000000000000000000
χ4622-2-2-222-22200002-22-222-2-2-2-2-22-22000000002002i−2i2-22-2-22-200002i−2i2i−2i000000002i2i−2i−2i00000000000000002i2i−2i−2i2i2i−2i−2i−2i−2i2i2i-2200000000-2-222−2i−2i2i2i000000000000000000000000
χ4722-2-2-222-22200002-22-222-2-2-2-2-22-2200000000200−2i2i2-22-2-22-20000−2i2i−2i2i00000000−2i−2i2i2i0000000000000000−2i−2i2i2i−2i−2i2i2i2i2i−2i−2i-2200000000-2-2222i2i−2i−2i000000000000000000000000
χ4822-2-2-222-22200002-22-222-2-2-2-2-22-2200000000200−2i2i2-22-2-22-20000−2i2i−2i2i00000000−2i−2i2i2i0000000000000000−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i2-20000000022-2-2−2i−2i2i2i000000000000000000000000
χ4922-2-2-222-2-120000-11-1122-2-2-2-21-112−i3−i3i3i3−i3−i3i3i3-1002i−2i-11-111-1100002i−2i2i−2i000033−3−3−i−iii−i3−i3i3i3−i3−i3i3i333−3−333−3−3−i−iii−i−iii2i2i−2i−2i2-200000000-1-111−i−iii33−3−3−i3−i3i3i30000000000000000
χ5022-2-2-222-2-120000-11-1122-2-2-2-21-112−i3−i3i3i3−i3−i3i3i3-1002i−2i-11-111-1100002i−2i2i−2i000033−3−3−i−iii−i3−i3i3i3−i3−i3i3i333−3−333−3−3−i−iii−i−iii−2i−2i2i2i-220000000011-1-1ii−i−i−3−333i3i3−i3−i30000000000000000
χ5122-2-2-222-2-120000-11-1122-2-2-2-21-112−i3−i3i3i3−i3−i3i3i3-100−2i2i-11-111-110000−2i2i−2i2i0000−3−333ii−i−i−i3−i3i3i3−i3−i3i3i3−3−333−3−333ii−i−iii−i−i2i2i−2i−2i-220000000011-1-1−i−iii33−3−3i3i3−i3−i30000000000000000
χ5222-2-2-222-2-120000-11-1122-2-2-2-21-112−i3−i3i3i3−i3−i3i3i3-100−2i2i-11-111-110000−2i2i−2i2i0000−3−333ii−i−i−i3−i3i3i3−i3−i3i3i3−3−333−3−333ii−i−iii−i−i−2i−2i2i2i2-200000000-1-111ii−i−i−3−333−i3−i3i3i30000000000000000
χ5322-2-2-222-2-120000-11-1122-2-2-2-21-112i3i3−i3−i3i3i3−i3−i3-1002i−2i-11-111-1100002i−2i2i−2i0000−3−333−i−iiii3i3−i3−i3i3i3−i3−i3−3−333−3−333−i−iii−i−iii2i2i−2i−2i2-200000000-1-111−i−iii−3−333i3i3−i3−i30000000000000000
χ5422-2-2-222-2-120000-11-1122-2-2-2-21-112i3i3−i3−i3i3i3−i3−i3-1002i−2i-11-111-1100002i−2i2i−2i0000−3−333−i−iiii3i3−i3−i3i3i3−i3−i3−3−333−3−333−i−iii−i−iii−2i−2i2i2i-220000000011-1-1ii−i−i33−3−3−i3−i3i3i30000000000000000
χ5522-2-2-222-2-120000-11-1122-2-2-2-21-112i3i3−i3−i3i3i3−i3−i3-100−2i2i-11-111-110000−2i2i−2i2i000033−3−3ii−i−ii3i3−i3−i3i3i3−i3−i333−3−333−3−3ii−i−iii−i−i2i2i−2i−2i-220000000011-1-1−i−iii−3−333−i3−i3i3i30000000000000000
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χ1304-4-44-4-444-2-2000022-2-22-2-222-2-222223−23−2323−232323−2310000-1-1111-1-1−232323−230000000000000000−333−33−3−333−3−33−333−33-3-33-333-30000000000000000000000000000000000000000000000
χ1314-4-44-4-444-2-2000022-2-22-2-222-2-2222−232323−2323−23−232310000-1-1111-1-123−23−232300000000000000003−3−33−333−3−333−33−3−333-3-33-333-30000000000000000000000000000000000000000000000
χ1324-4-44-4-444-2-2000022-2-22-2-222-2-2222−232323−2323−23−232310000-1-1111-1-1−232323−2300000000000000003−3−33−333−33−3−33−333−3-333-33-3-330000000000000000000000000000000000000000000000
χ1334-4-4-444-444-20000-4-4-4-422-2-222444-200000000-24-4002222-2-2-2-22-22000000004-4-44000000000000-222-2-222-2000000000000000000000000000000000000000000000000000000
χ1344-4-4-444-444-20000-4-4-4-422-2-222444-200000000-2-44002222-2-2-22-22-200000000-444-40000000000002-2-222-2-22000000000000000000000000000000000000000000000000000000
χ1354-4-4-444-44-2-20000222222-2-222-2-2-2-2−2i32i32i3−2i3−2i32i32i3−2i314-400-1-1-1-1111-22-2200000000-222-2−2i32i32i3−2i3i3−i3−i3i3i3−i3−i3i31-1-111-1-11i3−i3−i3i3i3−i3−i3i30000000000000000000000000000000000000000000000
χ1364-4-4-444-44-2-20000222222-2-222-2-2-2-2−2i32i32i3−2i3−2i32i32i3−2i31-4400-1-1-1-11112-22-2000000002-2-222i3−2i3−2i32i3i3−i3−i3i3i3−i3−i3i3-111-1-111-1−i3i3i3−i3−i3i3i3−i30000000000000000000000000000000000000000000000
χ1374-4-4-444-44-2-20000222222-2-222-2-2-2-22i3−2i3−2i32i32i3−2i3−2i32i314-400-1-1-1-1111-22-2200000000-222-22i3−2i3−2i32i3−i3i3i3−i3−i3i3i3−i31-1-111-1-11−i3i3i3−i3−i3i3i3−i30000000000000000000000000000000000000000000000
χ1384-4-4-444-44-2-20000222222-2-222-2-2-2-22i3−2i3−2i32i32i3−2i3−2i32i31-4400-1-1-1-11112-22-2000000002-2-22−2i32i32i3−2i3−i3i3i3−i3−i3i3i3−i3-111-1-111-1i3−i3−i3i3i3−i3−i3i30000000000000000000000000000000000000000000000

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