Finite Group Databasebeta

← Group #11792585

Character table — Group #11792585

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128C129C130C131C132C133C134C135C136C137C138C139C140C141C142C143C144
size111111112222222222222222222222222222222222224444444444444444444444444444444444444444444444444444888888888888888888888888888888888888363636363636363672727272
order12222222333344446666666666666666666666666666888812121212121212121212121212121212242424242424242424242424242424242424242424242424242424242424242444441212121212121212121212121212121212121212121212121212121212121212444488882244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ611111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1
χ711111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111-1-1-1-111-1-1
χ811111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-11111-1-111
χ9222222222222-2-2-2-222222222222222222222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000000000000000000000000000000000000022-2-200000000
χ10222222222222-2-2-2-222222222222222222222222222220000-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000-2-22200000000
χ11222222222-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-12-1-1-12222222-1-1-1-1-1-1-1-1-12-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ12222222222-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-12-1-1-12222222-1-1-1-1-1-1-1-1-12-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-2-2-2111111111111-2-2-2-2111111111111000000000000
χ13222222222-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-12-1-1-1-2-2-2-2222-1-1-1-1-1-1-1-1-12-1-1-1-2-2-2-2-2-2-2-211111111111111111111111122-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111111111000000000000
χ14222222222-1-1-1222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12-1-1-12-1-1-1-2-2-2-2222-1-1-1-1-1-1-1-1-12-1-1-1-2-2-2-2-2-2-2-2111111111111111111111111-2-222-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-1-1-1-1000000000000
χ1522222222-12-1-12222-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-12-1-1-12-1-12222-1-1-1222-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000000000000
χ1622222222-12-1-12222-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-12-1-1-12-1-12222-1-1-1222-1-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111-2-2-2-2111111111111-2-2-2-211111111000000000000
χ1722222222-12-1-12222-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-12-1-1-12-1-1-2-2-2-2-1-1-1222-1-1-1-1-1-1-12-1-111111111-2-2-2-2-2-2-2-2111111111111111122-2-2-1-1-1-12222-1-1-1-1-1-1-1-11111-2-2-2-211111111000000000000
χ1822222222-12-1-12222-1-1-1-1-122222-1-1-1-1-1-1-1-1-1-1-12-1-1-12-1-1-2-2-2-2-1-1-1222-1-1-1-1-1-1-12-1-111111111-2-2-2-2-2-2-2-21111111111111111-2-2221111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1000000000000
χ1922222222-1-12-12222-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-12-1-1-12-12222-1-1-1-1-1-1222-1-1-1-1-12-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1000000000000
χ2022222222-1-12-12222-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-12-1-1-12-12222-1-1-1-1-1-1222-1-1-1-1-12-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2-2-2111111111111-2-2-2-21111000000000000
χ2122222222-1-12-12222-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-12-1-1-12-1-2-2-2-2-1-1-1-1-1-1222-1-1-1-1-12-11111111111111111-2-2-2-2-2-2-2-21111111122-2-2-1-1-1-1-1-1-1-12222-1-1-1-111111111-2-2-2-21111000000000000
χ2222222222-1-12-12222-1-1-1-1-1-1-1-1-1-122222-1-1-1-1-1-1-12-1-1-12-1-2-2-2-2-1-1-1-1-1-1222-1-1-1-1-12-11111111111111111-2-2-2-2-2-2-2-211111111-2-22211111111-2-2-2-21111-1-1-1-1-1-1-1-12222-1-1-1-1000000000000
χ2322222222-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-12-1-1-122222-1-1-1-1-1-1-1-1-1222-1-1-12-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222222222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222000000000000
χ2422222222-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-12-1-1-122222-1-1-1-1-1-1-1-1-1222-1-1-12-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222222-2-2-2-2111111111111-2-2-2-2111111111111-2-2-2-2000000000000
χ2522222222-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-12-1-1-12-2-2-2-2-1-1-1-1-1-1-1-1-1222-1-1-12111111111111111111111111-2-2-2-2-2-2-2-222-2-2-1-1-1-1-1-1-1-1-1-1-1-12222111111111111-2-2-2-2000000000000
χ2622222222-1-1-122222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122222-1-1-12-1-1-12-2-2-2-2-1-1-1-1-1-1-1-1-1222-1-1-12111111111111111111111111-2-2-2-2-2-2-2-2-2-222111111111111-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-12222000000000000
χ27222-2-2-2-22222222-2-222-2-2-222-2-2-222-2-2-222-2-2-2-2-2-2-22222000022-222-222-222-2-2-2-2-2000000000000000000000000000000002i−2i002i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i0000000000000000000000000000
χ28222-2-2-2-22222222-2-222-2-2-222-2-2-222-2-2-222-2-2-2-2-2-2-22222000022-222-222-222-2-2-2-2-200000000000000000000000000000000−2i2i00−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i−2i−2i2i2i0000000000000000000000000000
χ29222-2-2-2-222222-2-22222-2-2-222-2-2-222-2-2-222-2-2-2-2-2-2-222220000-2-22-2-22-2-22-2-2222220000000000000000000000000000000000000000000000000000000000000000000000000000002-2
χ30222-2-2-2-222222-2-22222-2-2-222-2-2-222-2-2-222-2-2-2-2-2-2-222220000-2-22-2-22-2-22-2-222222000000000000000000000000000000000000000000000000000000000000000000000000000000-22
χ31222-2-2-2-222-1-1-122-2-222-2-2-2-1-1111-1-1111-1-1111-21112-1-1-1000022-2-1-11-1-11-1-11-2111000000003333−3−3−3−33333−3−3−3−33333−3−3−3−32i−2i002i2i−2i−2i−i−iii−i−iii−i−iii0000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3000000000000
χ32222-2-2-2-222-1-1-122-2-222-2-2-2-1-1111-1-1111-1-1111-21112-1-1-1000022-2-1-11-1-11-1-11-2111000000003333−3−3−3−33333−3−3−3−33333−3−3−3−3−2i2i00−2i−2i2i2iii−i−iii−i−iii−i−i0000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3000000000000
χ33222-2-2-2-222-1-1-122-2-222-2-2-2-1-1111-1-1111-1-1111-21112-1-1-1000022-2-1-11-1-11-1-11-211100000000−3−3−3−33333−3−3−3−33333−3−3−3−333332i−2i002i2i−2i−2i−i−iii−i−iii−i−iii0000i3i3−i3−i3i3i3−i3−i3i3i3−i3−i3000000000000
χ34222-2-2-2-222-1-1-122-2-222-2-2-2-1-1111-1-1111-1-1111-21112-1-1-1000022-2-1-11-1-11-1-11-211100000000−3−3−3−33333−3−3−3−33333−3−3−3−33333−2i2i00−2i−2i2i2iii−i−iii−i−iii−i−i0000−i3−i3i3i3−i3−i3i3i3−i3−i3i3i3000000000000
χ35222-2-2-2-22-12-1-122-2-2-1-111122-2-2-2-1-1111-1-11111-211-12-1-10000-1-1122-2-1-11-1-111-2113333−3−3−3−3000000003333−3−3−3−3−3−3−3−333332i−2i00−i−iii2i2i−2i−2i−i−iii−i−iii−i3−i3i3i30000−i3−i3i3i3i3i3−i3−i3000000000000
χ36222-2-2-2-22-12-1-122-2-2-1-111122-2-2-2-1-1111-1-11111-211-12-1-10000-1-1122-2-1-11-1-111-2113333−3−3−3−3000000003333−3−3−3−3−3−3−3−33333−2i2i00ii−i−i−2i−2i2i2iii−i−iii−i−ii3i3−i3−i30000i3i3−i3−i3−i3−i3i3i3000000000000
χ37222-2-2-2-22-12-1-122-2-2-1-111122-2-2-2-1-1111-1-11111-211-12-1-10000-1-1122-2-1-11-1-111-211−3−3−3−3333300000000−3−3−3−333333333−3−3−3−32i−2i00−i−iii2i2i−2i−2i−i−iii−i−iiii3i3−i3−i30000i3i3−i3−i3−i3−i3i3i3000000000000
χ38222-2-2-2-22-12-1-122-2-2-1-111122-2-2-2-1-1111-1-11111-211-12-1-10000-1-1122-2-1-11-1-111-211−3−3−3−3333300000000−3−3−3−333333333−3−3−3−3−2i2i00ii−i−i−2i−2i2i2iii−i−iii−i−i−i3−i3i3i30000−i3−i3i3i3i3i3−i3−i3000000000000
χ39222-2-2-2-22-1-12-122-2-2-1-1111-1-111122-2-2-2-1-111111-21-1-12-10000-1-11-1-1122-2-1-1111-213333−3−3−3−3−3−3−3−33333000000003333−3−3−3−32i−2i00−i−iii−i−iii2i2i−2i−2i−i−iii−i3−i3i3i3i3i3−i3−i30000−i3−i3i3i3000000000000
χ40222-2-2-2-22-1-12-122-2-2-1-1111-1-111122-2-2-2-1-111111-21-1-12-10000-1-11-1-1122-2-1-1111-213333−3−3−3−3−3−3−3−33333000000003333−3−3−3−3−2i2i00ii−i−iii−i−i−2i−2i2i2iii−i−ii3i3−i3−i3−i3−i3i3i30000i3i3−i3−i3000000000000
χ41222-2-2-2-22-1-12-122-2-2-1-1111-1-111122-2-2-2-1-111111-21-1-12-10000-1-11-1-1122-2-1-1111-21−3−3−3−333333333−3−3−3−300000000−3−3−3−333332i−2i00−i−iii−i−iii2i2i−2i−2i−i−iiii3i3−i3−i3−i3−i3i3i30000i3i3−i3−i3000000000000
χ42222-2-2-2-22-1-12-122-2-2-1-1111-1-111122-2-2-2-1-111111-21-1-12-10000-1-11-1-1122-2-1-1111-21−3−3−3−333333333−3−3−3−300000000−3−3−3−33333−2i2i00ii−i−iii−i−i−2i−2i2i2iii−i−i−i3−i3i3i3i3i3−i3−i30000−i3−i3i3i3000000000000
χ43222-2-2-2-22-1-1-1222-2-2-1-1111-1-1111-1-111122-2-2-2111-2-1-1-120000-1-11-1-11-1-1122-2111-23333−3−3−3−33333−3−3−3−3−3−3−3−33333000000002i−2i00−i−iii−i−iii−i−iii2i2i−2i−2i−i3−i3i3i3−i3−i3i3i3i3i3−i3−i30000000000000000
χ44222-2-2-2-22-1-1-1222-2-2-1-1111-1-1111-1-111122-2-2-2111-2-1-1-120000-1-11-1-11-1-1122-2111-23333−3−3−3−33333−3−3−3−3−3−3−3−3333300000000−2i2i00ii−i−iii−i−iii−i−i−2i−2i2i2ii3i3−i3−i3i3i3−i3−i3−i3−i3i3i30000000000000000
χ45222-2-2-2-22-1-1-1222-2-2-1-1111-1-1111-1-111122-2-2-2111-2-1-1-120000-1-11-1-11-1-1122-2111-2−3−3−3−33333−3−3−3−333333333−3−3−3−3000000002i−2i00−i−iii−i−iii−i−iii2i2i−2i−2ii3i3−i3−i3i3i3−i3−i3−i3−i3i3i30000000000000000
χ46222-2-2-2-22-1-1-1222-2-2-1-1111-1-1111-1-111122-2-2-2111-2-1-1-120000-1-11-1-11-1-1122-2111-2−3−3−3−33333−3−3−3−333333333−3−3−3−300000000−2i2i00ii−i−iii−i−iii−i−i−2i−2i2i2i−i3−i3i3i3−i3−i3i3i3i3i3−i3−i30000000000000000
χ4722-2-222-2-2222200002-22-2-22-22-2-22-22-2-22-22-2-22222-2-2-2-2−i2−i2i2i20000000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2000000000000000000000000000000000000002i−2i22−2−20000
χ4822-2-222-2-2222200002-22-2-22-22-2-22-22-2-22-22-2-22222-2-2-2-2−i2−i2i2i20000000000000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200000000000000000000000000000000000000−2i2i−2−2220000
χ4922-2-222-2-2222200002-22-2-22-22-2-22-22-2-22-22-2-22222-2-2-2-2i2i2−i2−i20000000000000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2000000000000000000000000000000000000002i−2i−2−2220000
χ5022-2-222-2-2222200002-22-2-22-22-2-22-22-2-22-22-2-22222-2-2-2-2i2i2−i2−i20000000000000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200000000000000000000000000000000000000−2i2i22−2−20000
χ512-22-22-22-222220000-22-22-2-22-22-2-22-22-2-22-22-22222-2-2-2-2−i2i2−i2i20000000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i20000000000000000000000000000000000002i−2i002−22−20000
χ522-22-22-22-222220000-22-22-2-22-22-2-22-22-2-22-22-22222-2-2-2-2−i2i2−i2i20000000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2000000000000000000000000000000000000−2i2i00−22−220000
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χ1404-4-444-4-44-2-2-24-44-442222-22222-22222-2-4-4-4-44-2-2-24-2-2-2400002-2-22-2-22-2-2-444222-400000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1414-4-4-4-44444-2-2-2-444-4-4-444-422-2-2222-2-2222-2-22-42224-2-2-20000-44-42-222-222-224-2-2-200000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1434-4-4-4-4444-2-24-2-444-422-2-2222-2-22-4-444-422-2-2222-42-2-24-200002-222-22-44-42-22-2-24-200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1444-4-4-4-4444-2-2-24-444-422-2-2222-2-2222-2-22-4-444-4222-4-2-2-2400002-222-222-22-44-4-2-2-2400000000000000000000000000000000000000000000000000000000000000000000000000000000

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